##############ECHO OF PROBLEM################# ##############R:Temp/sing6_backpostode.ode################# diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=30; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(3.0) x_end=c(2.0) # ELIMINATED in preodein.rb $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(6.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(3.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=12 $glob_max_minutes=(3.0) $glob_subiter_method=2 $glob_max_iter=1000000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) $glob_h_reason=1 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0)/ ( c(x) - c(6.0) ) / ( c(x) - c(6.0) )) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 2.999 y[1] (closed_form) 0.11103707405762005 y[1] (numeric) 0.11103707405762002 absolute error 2.7755575615628914e-17 relative error 2.4996674174992955e-14% Desired digits 12 Estimated correct digits 14 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 3.001 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0010000000000097 Order of pole (three term test) 3.143355241582253e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.998 y[1] (closed_form) 0.11096311097953354 y[1] (numeric) 0.11096311097953351 absolute error 2.7755575615628914e-17 relative error 2.5013335847035015e-14% Desired digits 12 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 3.002 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0020000000000087 Order of pole (three term test) 3.1749306204991914e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9970000000000003 y[1] (closed_form) 0.1108892217783327 y[1] (numeric) 0.11088922177833266 absolute error 4.163336342344337e-17 relative error 3.75450046052883e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0029999999999997 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.003000000000011 Order of pole (three term test) 3.206812502714341e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9960000000000004 y[1] (closed_form) 0.11081540635566252 y[1] (numeric) 0.11081540635566248 absolute error 4.163336342344337e-17 relative error 3.757001376669676e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0039999999999996 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.004000000000014 Order of pole (three term test) 6.47800751982206e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9950000000000006 y[1] (closed_form) 0.11074166461333167 y[1] (numeric) 0.11074166461333163 absolute error 4.163336342344337e-17 relative error 3.759503125477791e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0049999999999994 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0050000000000057 Order of pole (three term test) 3.2715072897083145e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9940000000000007 y[1] (closed_form) 0.1106679964533121 y[1] (numeric) 0.11066799645331205 absolute error 5.551115123125783e-17 relative error 5.016007609270898e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0059999999999993 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0060000000000042 Order of pole (three term test) 3.3043260158864896e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9930000000000008 y[1] (closed_form) 0.11059440177773872 y[1] (numeric) 0.11059440177773865 absolute error 6.938893903907228e-17 relative error 6.27418186849304e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0069999999999992 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0070000000000143 Order of pole (three term test) 6.674925777228884e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.992000000000001 y[1] (closed_form) 0.11052088048890908 y[1] (numeric) 0.110520880488909 absolute error 8.326672684688674e-17 relative error 7.53402673581149e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.007999999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.008000000000004 Order of pole (three term test) 3.370920884678883e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.991000000000001 y[1] (closed_form) 0.11044743248928308 y[1] (numeric) 0.110447432489283 absolute error 8.326672684688674e-17 relative error 7.539036894765866e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.008999999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0090000000000057 Order of pole (three term test) 3.4047030077156474e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.990000000000001 y[1] (closed_form) 0.11037405768148263 y[1] (numeric) 0.11037405768148253 absolute error 9.71445146547012e-17 relative error 8.801390172230575e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.009999999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.010000000000003 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.989000000000001 y[1] (closed_form) 0.11030075596829128 y[1] (numeric) 0.11030075596829117 absolute error 1.1102230246251565e-16 relative error 1.0065416278237639e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.010999999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0110000000000157 Order of pole (three term test) 6.946503569790446e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9880000000000013 y[1] (closed_form) 0.11022752725265393 y[1] (numeric) 0.11022752725265383 absolute error 9.71445146547012e-17 relative error 8.813090257575588e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0119999999999987 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0120000000000027 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9870000000000014 y[1] (closed_form) 0.11015437143767658 y[1] (numeric) 0.11015437143767647 absolute error 1.1102230246251565e-16 relative error 1.0078792245238324e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0129999999999986 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.013000000000003 Order of pole (three term test) 7.086267590255619e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9860000000000015 y[1] (closed_form) 0.11008128842662587 y[1] (numeric) 0.11008128842662575 absolute error 1.249000902703301e-16 relative error 1.1346169004333704e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0139999999999985 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0140000000000025 Order of pole (three term test) 3.578582563707587e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9850000000000017 y[1] (closed_form) 0.11000827812292886 y[1] (numeric) 0.11000827812292874 absolute error 1.249000902703301e-16 relative error 1.1353699230776104e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0149999999999983 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0150000000000055 Order of pole (three term test) 3.614374058096237e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9840000000000018 y[1] (closed_form) 0.10993534043017271 y[1] (numeric) 0.10993534043017257 absolute error 1.3877787807814457e-16 relative error 1.2623591061355896e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0159999999999982 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0160000000000076 Order of pole (three term test) 3.6505114765102683e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.983000000000002 y[1] (closed_form) 0.1098624752521043 y[1] (numeric) 0.10986247525210414 absolute error 1.5265566588595902e-16 relative error 1.3895159883814384e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.016999999999998 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.017000000000004 Order of pole (three term test) 3.686998045935546e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.982000000000002 y[1] (closed_form) 0.10978968249262996 y[1] (numeric) 0.1097896824926298 absolute error 1.6653345369377348e-16 relative error 1.5168406530818835e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.017999999999998 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.018000000000007 Order of pole (three term test) 3.7238370223764174e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.981000000000002 y[1] (closed_form) 0.10971696205581515 y[1] (numeric) 0.10971696205581498 absolute error 1.6653345369377348e-16 relative error 1.5178460155418328e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.018999999999998 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0189999999999917 Order of pole (three term test) 3.761031691106871e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.980000000000002 y[1] (closed_form) 0.10964431384588412 y[1] (numeric) 0.10964431384588394 absolute error 1.8041124150158794e-16 relative error 1.6454226869910802e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.019999999999998 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0199999999999942 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9790000000000023 y[1] (closed_form) 0.10957173776721961 y[1] (numeric) 0.10957173776721943 absolute error 1.8041124150158794e-16 relative error 1.6465125513009914e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0209999999999977 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.021000000000018 Order of pole (three term test) 3.836501394402893e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9780000000000024 y[1] (closed_form) 0.10949923372436256 y[1] (numeric) 0.10949923372436238 absolute error 1.8041124150158794e-16 relative error 1.6476027764333855e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0219999999999976 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0220000000000145 Order of pole (three term test) 7.749566296309929e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9770000000000025 y[1] (closed_form) 0.10942680162201178 y[1] (numeric) 0.10942680162201157 absolute error 2.0816681711721685e-16 relative error 1.9023384950633793e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0229999999999975 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0230000000000086 Order of pole (three term test) 3.9134340330869015e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9760000000000026 y[1] (closed_form) 0.10935444136502356 y[1] (numeric) 0.10935444136502336 absolute error 2.0816681711721685e-16 relative error 1.903597279806487e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0239999999999974 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0239999999999965 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9750000000000028 y[1] (closed_form) 0.1092821528584115 y[1] (numeric) 0.1092821528584113 absolute error 2.0816681711721685e-16 relative error 1.904856480883229e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0249999999999972 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0250000000000132 Order of pole (three term test) 7.983713938336325e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.974000000000003 y[1] (closed_form) 0.1092099360073461 y[1] (numeric) 0.10920993600734588 absolute error 2.220446049250313e-16 relative error 2.0331905048465122e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.025999999999997 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0260000000000056 Order of pole (three term test) 4.0316359839758985e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.973000000000003 y[1] (closed_form) 0.10913779071715446 y[1] (numeric) 0.10913779071715422 absolute error 2.3592239273284576e-16 relative error 2.1616929496426307e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.026999999999997 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0269999999999966 Order of pole (three term test) 4.0717980578149525e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.972000000000003 y[1] (closed_form) 0.10906571689332 y[1] (numeric) 0.10906571689331974 absolute error 2.498001805406602e-16 relative error 2.2903638985383123e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.027999999999997 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0280000000000045 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.971000000000003 y[1] (closed_form) 0.1089937144414821 y[1] (numeric) 0.10899371444148186 absolute error 2.498001805406602e-16 relative error 2.2918769382318467e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.028999999999997 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.028999999999987 Order of pole (three term test) 4.1532856559082874e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9700000000000033 y[1] (closed_form) 0.1089217832674359 y[1] (numeric) 0.10892178326743564 absolute error 2.636779683484747e-16 relative error 2.420801059610506e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0299999999999967 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0300000000000074 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9690000000000034 y[1] (closed_form) 0.10884992327713182 y[1] (numeric) 0.10884992327713156 absolute error 2.636779683484747e-16 relative error 2.422399211776666e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0309999999999966 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0310000000000175 Order of pole (three term test) 8.472697261475892e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9680000000000035 y[1] (closed_form) 0.10877813437667544 y[1] (numeric) 0.10877813437667516 absolute error 2.7755575615628914e-16 relative error 2.5515767276829076e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0319999999999965 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.032000000000008 Order of pole (three term test) 4.2784800471944666e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9670000000000036 y[1] (closed_form) 0.10870641647232704 y[1] (numeric) 0.10870641647232675 absolute error 2.914335439641036e-16 relative error 2.680923108511195e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0329999999999964 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.033000000000001 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9660000000000037 y[1] (closed_form) 0.10863476947050137 y[1] (numeric) 0.10863476947050107 absolute error 2.914335439641036e-16 relative error 2.6826912358224255e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0339999999999963 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.034000000000009 Order of pole (three term test) 4.3639613516090485e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.965000000000004 y[1] (closed_form) 0.10856319327776735 y[1] (numeric) 0.10856319327776705 absolute error 3.0531133177191805e-16 relative error 2.812291372000778e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.034999999999996 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.035000000000013 Order of pole (three term test) 8.814637570002932e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.964000000000004 y[1] (closed_form) 0.10849168780084774 y[1] (numeric) 0.10849168780084742 absolute error 3.191891195797325e-16 relative error 2.942060595145782e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.035999999999996 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0360000000000147 Order of pole (three term test) 8.90218498480783e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.963000000000004 y[1] (closed_form) 0.10842025294661882 y[1] (numeric) 0.1084202529466185 absolute error 3.191891195797325e-16 relative error 2.94399903066899e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.036999999999996 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0370000000000044 Order of pole (three term test) 4.495286331365162e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.962000000000004 y[1] (closed_form) 0.10834888862211015 y[1] (numeric) 0.10834888862210981 absolute error 3.3306690738754696e-16 relative error 3.0740223699865424e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.037999999999996 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0379999999999945 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9610000000000043 y[1] (closed_form) 0.10827759473450417 y[1] (numeric) 0.10827759473450384 absolute error 3.3306690738754696e-16 relative error 3.0760464175827366e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0389999999999957 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0389999999999935 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9600000000000044 y[1] (closed_form) 0.10820637119113605 y[1] (numeric) 0.10820637119113569 absolute error 3.608224830031759e-16 relative error 3.3345770589221406e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0399999999999956 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.039999999999998 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9590000000000045 y[1] (closed_form) 0.10813521789949317 y[1] (numeric) 0.1081352178994928 absolute error 3.608224830031759e-16 relative error 3.336771220441283e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0409999999999955 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.040999999999996 Order of pole (three term test) 2.3381706830436878e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9580000000000046 y[1] (closed_form) 0.10806413476721505 y[1] (numeric) 0.10806413476721467 absolute error 3.7470027081099033e-16 relative error 3.467387876820983e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0419999999999954 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.042000000000001 Order of pole (three term test) 4.7226949425707624e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9570000000000047 y[1] (closed_form) 0.1079931217020929 y[1] (numeric) 0.10799312170209249 absolute error 4.0245584642661925e-16 relative error 3.726680367077672e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0429999999999953 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.043000000000016 Order of pole (three term test) 7.154238795010763e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.956000000000005 y[1] (closed_form) 0.10792217861206932 y[1] (numeric) 0.10792217861206892 absolute error 4.0245584642661925e-16 relative error 3.729130115814871e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.043999999999995 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0439999999999956 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.955000000000005 y[1] (closed_form) 0.10785130540523816 y[1] (numeric) 0.10785130540523774 absolute error 4.163336342344337e-16 relative error 3.8602558649625126e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.044999999999995 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0449999999999964 Order of pole (three term test) 2.4322180973076366e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.954000000000005 y[1] (closed_form) 0.10778050198984399 y[1] (numeric) 0.10778050198984357 absolute error 4.163336342344337e-16 relative error 3.8627917531286347e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.045999999999995 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.046000000000017 Order of pole (three term test) 4.9125905920031365e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.953000000000005 y[1] (closed_form) 0.10770976827428201 y[1] (numeric) 0.10770976827428157 absolute error 4.440892098500626e-16 relative error 4.123017038892825e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.046999999999995 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.047 Order of pole (three term test) 4.961205641406491e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9520000000000053 y[1] (closed_form) 0.1076391041670976 y[1] (numeric) 0.10763910416709715 absolute error 4.440892098500626e-16 relative error 4.1257237626268614e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0479999999999947 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.047999999999997 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9510000000000054 y[1] (closed_form) 0.10756850957698615 y[1] (numeric) 0.10756850957698569 absolute error 4.579669976578771e-16 relative error 4.257444854993671e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0489999999999946 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0489999999999986 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9500000000000055 y[1] (closed_form) 0.10749798441279265 y[1] (numeric) 0.1074979844127922 absolute error 4.579669976578771e-16 relative error 4.260237995712386e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0499999999999945 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0500000000000056 Order of pole (three term test) 2.5549287122033038e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9490000000000056 y[1] (closed_form) 0.1074275285835115 y[1] (numeric) 0.10742752858351104 absolute error 4.579669976578771e-16 relative error 4.263032052365096e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0509999999999944 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.051000000000003 Order of pole (three term test) 2.5801789975763833e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9480000000000057 y[1] (closed_form) 0.10735714199828614 y[1] (numeric) 0.10735714199828567 absolute error 4.718447854656915e-16 relative error 4.395094510556402e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0519999999999943 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0519999999999983 Order of pole (three term test) 5.211340866283328e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.947000000000006 y[1] (closed_form) 0.10728682456640876 y[1] (numeric) 0.10728682456640828 absolute error 4.718447854656915e-16 relative error 4.3979751229716696e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.052999999999994 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.053000000000011 Order of pole (three term test) 7.894215725492111e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.946000000000006 y[1] (closed_form) 0.1072165761973201 y[1] (numeric) 0.10721657619731961 absolute error 4.85722573273506e-16 relative error 4.5302936402258175e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.053999999999994 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.054000000000007 Order of pole (three term test) 2.657385666327772e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.945000000000006 y[1] (closed_form) 0.10714639680060901 y[1] (numeric) 0.10714639680060853 absolute error 4.85722573273506e-16 relative error 4.5332609194259457e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.054999999999994 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.055000000000003 Order of pole (three term test) 2.6836139692388805e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.944000000000006 y[1] (closed_form) 0.10707628628601233 y[1] (numeric) 0.10707628628601183 absolute error 4.996003610813204e-16 relative error 4.66583571778754e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.055999999999994 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.056000000000012 Order of pole (three term test) 5.420184866524221e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9430000000000063 y[1] (closed_form) 0.10700624456341443 y[1] (numeric) 0.10700624456341393 absolute error 4.996003610813204e-16 relative error 4.66888977479483e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0569999999999937 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.057000000000003 Order of pole (three term test) 5.473646722718618e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9420000000000064 y[1] (closed_form) 0.10693627154284703 y[1] (numeric) 0.10693627154284652 absolute error 5.134781488891349e-16 relative error 4.801721076308475e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0579999999999936 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.058000000000016 Order of pole (three term test) 8.291427230788152e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9410000000000065 y[1] (closed_form) 0.10686636713448888 y[1] (numeric) 0.10686636713448837 absolute error 5.134781488891349e-16 relative error 4.804862022145231e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0589999999999935 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.059000000000025 Order of pole (three term test) 1.3955259619913763e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9400000000000066 y[1] (closed_form) 0.1067965312486655 y[1] (numeric) 0.10679653124866498 absolute error 5.273559366969494e-16 relative error 4.937950048855534e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0599999999999934 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0599999999999983 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9390000000000067 y[1] (closed_form) 0.10672676379584883 y[1] (numeric) 0.10672676379584828 absolute error 5.551115123125783e-16 relative error 5.2012399942569e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0609999999999933 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.061000000000011 Order of pole (three term test) 8.538955478089547e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.938000000000007 y[1] (closed_form) 0.10665706468665695 y[1] (numeric) 0.10665706468665641 absolute error 5.412337245047638e-16 relative error 5.07452296849562e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.061999999999993 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0619999999999967 Order of pole (three term test) 2.8743470070270826e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.937000000000007 y[1] (closed_form) 0.1065874338318539 y[1] (numeric) 0.10658743383185335 absolute error 5.551115123125783e-16 relative error 5.208039000059704e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.062999999999993 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0629999999999997 Order of pole (three term test) 2.9026422385405875e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.936000000000007 y[1] (closed_form) 0.10651787114234927 y[1] (numeric) 0.1065178711423487 absolute error 5.689893001203927e-16 relative error 5.341726172503034e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.063999999999993 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.063999999999999 Order of pole (three term test) 2.931206636974695e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.935000000000007 y[1] (closed_form) 0.10644837652919796 y[1] (numeric) 0.10644837652919738 absolute error 5.828670879282072e-16 relative error 5.475584569092336e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.064999999999993 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0650000000000097 Order of pole (three term test) 2.960042673756711e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9340000000000073 y[1] (closed_form) 0.10637894990359989 y[1] (numeric) 0.1063789499035993 absolute error 5.828670879282072e-16 relative error 5.479158127208424e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0659999999999927 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0660000000000003 Order of pole (three term test) 2.98915284218835e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9330000000000074 y[1] (closed_form) 0.10630959117689978 y[1] (numeric) 0.10630959117689917 absolute error 6.106226635438361e-16 relative error 5.743815367775768e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0669999999999926 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.066999999999997 Order of pole (three term test) 3.018539657632236e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9320000000000075 y[1] (closed_form) 0.10624030026058671 y[1] (numeric) 0.10624030026058612 absolute error 5.967448757360216e-16 relative error 5.616935139229868e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0679999999999925 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.067999999999996 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9310000000000076 y[1] (closed_form) 0.10617107706629406 y[1] (numeric) 0.10617107706629345 absolute error 6.106226635438361e-16 relative error 5.751308929102777e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0689999999999924 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.069000000000006 Order of pole (three term test) 3.0781534024403e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9300000000000077 y[1] (closed_form) 0.106101921505799 y[1] (numeric) 0.10610192150579838 absolute error 6.245004513516506e-16 relative error 5.885854303944142e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0699999999999923 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.069999999999999 Order of pole (three term test) 3.108385474532712e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.929000000000008 y[1] (closed_form) 0.10603283349102237 y[1] (numeric) 0.10603283349102173 absolute error 6.38378239159465e-16 relative error 6.02057134702069e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.070999999999992 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.071000000000007 Order of pole (three term test) 9.416713438432279e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.928000000000008 y[1] (closed_form) 0.10596381293402832 y[1] (numeric) 0.10596381293402768 absolute error 6.38378239159465e-16 relative error 6.024492904543845e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.071999999999992 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.072000000000003 Order of pole (three term test) 3.1697130457907464e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.927000000000008 y[1] (closed_form) 0.10589485974702408 y[1] (numeric) 0.10589485974702344 absolute error 6.38378239159465e-16 relative error 6.02841573882348e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.072999999999992 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.072999999999994 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.926000000000008 y[1] (closed_form) 0.10582597384235966 y[1] (numeric) 0.10582597384235899 absolute error 6.661338147750939e-16 relative error 6.294615495505662e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.073999999999992 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0739999999999887 Order of pole (three term test) 3.232209492843793e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9250000000000083 y[1] (closed_form) 0.10575715513252751 y[1] (numeric) 0.10575715513252684 absolute error 6.661338147750939e-16 relative error 6.298711552332713e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0749999999999917 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0749999999999957 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9240000000000084 y[1] (closed_form) 0.10568840353016234 y[1] (numeric) 0.10568840353016169 absolute error 6.522560269672795e-16 relative error 6.171500421814325e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0759999999999916 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.076000000000005 Order of pole (three term test) 3.295896311617332e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9230000000000085 y[1] (closed_form) 0.10561971894804087 y[1] (numeric) 0.10561971894804019 absolute error 6.800116025829084e-16 relative error 6.438301572431156e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0769999999999915 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.076999999999989 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9220000000000086 y[1] (closed_form) 0.10555110129908132 y[1] (numeric) 0.10555110129908064 absolute error 6.800116025829084e-16 relative error 6.442487043845054e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0779999999999914 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.077999999999989 Order of pole (three term test) 3.360795378984089e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9210000000000087 y[1] (closed_form) 0.10548255049634346 y[1] (numeric) 0.10548255049634278 absolute error 6.800116025829084e-16 relative error 6.446673875282157e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0789999999999913 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.079 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.920000000000009 y[1] (closed_form) 0.1054140664530281 y[1] (numeric) 0.10541406645302741 absolute error 6.938893903907228e-16 relative error 6.582512313002515e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.079999999999991 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0800000000000027 Order of pole (three term test) 6.853857918522237e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.919000000000009 y[1] (closed_form) 0.10534564908247687 y[1] (numeric) 0.10534564908247618 absolute error 6.938893903907228e-16 relative error 6.586787365536713e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.080999999999991 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.081000000000005 Order of pole (three term test) 3.460465756904603e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.918000000000009 y[1] (closed_form) 0.10527729829817205 y[1] (numeric) 0.10527729829817133 absolute error 7.216449660063518e-16 relative error 6.854706358083677e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.081999999999991 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.082000000000006 Order of pole (three term test) 3.494319710812792e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.917000000000009 y[1] (closed_form) 0.10520901401373609 y[1] (numeric) 0.10520901401373536 absolute error 7.216449660063518e-16 relative error 6.859155299299106e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.082999999999991 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0829999999999966 Order of pole (three term test) 3.528493715952226e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9160000000000093 y[1] (closed_form) 0.10514079614293155 y[1] (numeric) 0.10514079614293083 absolute error 7.216449660063518e-16 relative error 6.863605683804467e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0839999999999907 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.084000000000002 Order of pole (three term test) 3.562990692762357e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9150000000000094 y[1] (closed_form) 0.10507264459966073 y[1] (numeric) 0.10507264459966 absolute error 7.355227538141662e-16 relative error 7.000135540668985e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0849999999999906 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.085000000000003 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9140000000000095 y[1] (closed_form) 0.10500455929796536 y[1] (numeric) 0.10500455929796462 absolute error 7.355227538141662e-16 relative error 7.004674451582772e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0859999999999905 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.085999999999999 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9130000000000096 y[1] (closed_form) 0.10493654015202641 y[1] (numeric) 0.10493654015202566 absolute error 7.494005416219807e-16 relative error 7.141464170023992e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0869999999999904 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.087000000000008 Order of pole (three term test) 7.336898088495557e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9120000000000097 y[1] (closed_form) 0.10486858707616378 y[1] (numeric) 0.10486858707616302 absolute error 7.632783294297951e-16 relative error 7.278426750190146e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0879999999999903 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0879999999999925 Order of pole (three term test) 3.704267629181355e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.91100000000001 y[1] (closed_form) 0.10480069998483602 y[1] (numeric) 0.10480069998483524 absolute error 7.771561172376096e-16 relative error 7.415562275347962e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.08899999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0889999999999977 Order of pole (three term test) 3.7404241776895795e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.91000000000001 y[1] (closed_form) 0.10473287879264005 y[1] (numeric) 0.10473287879263928 absolute error 7.771561172376096e-16 relative error 7.420364322996372e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.08999999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.089999999999996 Order of pole (three term test) 3.776921767642197e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.90900000000001 y[1] (closed_form) 0.10466512341431097 y[1] (numeric) 0.1046651234143102 absolute error 7.771561172376096e-16 relative error 7.425167924957018e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.09099999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0909999999999975 Order of pole (three term test) 3.813763503929578e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.90800000000001 y[1] (closed_form) 0.10459743376472172 y[1] (numeric) 0.10459743376472094 absolute error 7.771561172376096e-16 relative error 7.429973081229897e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.09199999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0920000000000014 Order of pole (three term test) 3.850952518691067e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9070000000000102 y[1] (closed_form) 0.10452980975888282 y[1] (numeric) 0.10452980975888203 absolute error 7.91033905045424e-16 relative error 7.567543716668852e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0929999999999898 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0929999999999946 Order of pole (three term test) 3.888491971545169e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9060000000000104 y[1] (closed_form) 0.10446225131194212 y[1] (numeric) 0.10446225131194131 absolute error 8.049116928532385e-16 relative error 7.705287630166373e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0939999999999896 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0940000000000007 Order of pole (three term test) 3.9263850498216883e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9050000000000105 y[1] (closed_form) 0.1043947583391845 y[1] (numeric) 0.10439475833918369 absolute error 8.187894806610529e-16 relative error 7.843204904989189e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0949999999999895 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0949999999999838 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9040000000000106 y[1] (closed_form) 0.10432733075603166 y[1] (numeric) 0.10432733075603084 absolute error 8.187894806610529e-16 relative error 7.848274030663961e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0959999999999894 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0960000000000054 Order of pole (three term test) 4.003244971922938e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9030000000000107 y[1] (closed_form) 0.10425996847804185 y[1] (numeric) 0.10425996847804102 absolute error 8.326672684688674e-16 relative error 7.986452332797656e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0969999999999893 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.096999999999984 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.902000000000011 y[1] (closed_form) 0.10419267142090953 y[1] (numeric) 0.10419267142090868 absolute error 8.465450562766819e-16 relative error 8.12480421830125e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.097999999999989 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0979999999999968 Order of pole (three term test) 4.081558346796239e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.901000000000011 y[1] (closed_form) 0.10412543950046518 y[1] (numeric) 0.10412543950046434 absolute error 8.465450562766819e-16 relative error 8.130050258014997e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.098999999999989 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.099000000000006 Order of pole (three term test) 8.242536697018754e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.900000000000011 y[1] (closed_form) 0.10405827263267504 y[1] (numeric) 0.10405827263267418 absolute error 8.604228440844963e-16 relative error 8.26866353165195e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.099999999999989 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1000000000000028 Order of pole (three term test) 8.322703389591049e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899000000000011 y[1] (closed_form) 0.10399117073364078 y[1] (numeric) 0.10399117073363992 absolute error 8.604228440844963e-16 relative error 8.273999013708118e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.100999999999989 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.101000000000001 Order of pole (three term test) 4.201811773621584e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8980000000000112 y[1] (closed_form) 0.1039241337195993 y[1] (numeric) 0.10392413371959844 absolute error 8.604228440844963e-16 relative error 8.279336216609975e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1019999999999888 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.102000000000012 Order of pole (three term test) 8.4853040051828e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8970000000000113 y[1] (closed_form) 0.10385716150692248 y[1] (numeric) 0.1038571615069216 absolute error 8.743006318923108e-16 relative error 8.418298932943928e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1029999999999887 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.103000000000013 Order of pole (three term test) 1.2851627487585946e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8960000000000115 y[1] (closed_form) 0.10379025401211682 y[1] (numeric) 0.10379025401211595 absolute error 8.743006318923108e-16 relative error 8.423725716966083e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1039999999999885 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.103999999999993 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8950000000000116 y[1] (closed_form) 0.10372341115182332 y[1] (numeric) 0.10372341115182243 absolute error 8.881784197001252e-16 relative error 8.562950348789336e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1049999999999884 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1049999999999787 Order of pole (three term test) 4.3674882162110843e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8940000000000117 y[1] (closed_form) 0.10365663284281709 y[1] (numeric) 0.1036566328428162 absolute error 8.881784197001252e-16 relative error 8.568466824954094e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1059999999999883 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1059999999999754 Order of pole (three term test) 4.409883823310888e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.893000000000012 y[1] (closed_form) 0.10358991900200723 y[1] (numeric) 0.10358991900200631 absolute error 9.159339953157541e-16 relative error 8.841922111146803e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.106999999999988 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.106999999999988 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.892000000000012 y[1] (closed_form) 0.10352326954643636 y[1] (numeric) 0.10352326954643545 absolute error 9.020562075079397e-16 relative error 8.713559873640908e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.107999999999988 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1079999999999877 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.891000000000012 y[1] (closed_form) 0.10345668439328062 y[1] (numeric) 0.10345668439327971 absolute error 9.159339953157541e-16 relative error 8.853309002576568e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.108999999999988 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1090000000000004 Order of pole (three term test) 4.539471228128646e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.890000000000012 y[1] (closed_form) 0.10339016345984922 y[1] (numeric) 0.1033901634598483 absolute error 9.159339953157541e-16 relative error 8.859005196093438e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.109999999999988 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.109999999999983 Order of pole (three term test) 4.58347933172066e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8890000000000122 y[1] (closed_form) 0.1033237066635843 y[1] (numeric) 0.10332370666358336 absolute error 9.43689570931383e-16 relative error 9.133330591826122e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1109999999999878 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1109999999999878 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8880000000000123 y[1] (closed_form) 0.10325731392206056 y[1] (numeric) 0.1032573139220596 absolute error 9.575673587391975e-16 relative error 9.273603218673468e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1119999999999877 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1119999999999823 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8870000000000124 y[1] (closed_form) 0.10319098515298507 y[1] (numeric) 0.10319098515298412 absolute error 9.43689570931383e-16 relative error 9.145077639605076e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1129999999999876 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1129999999999907 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8860000000000126 y[1] (closed_form) 0.10312472027419708 y[1] (numeric) 0.10312472027419613 absolute error 9.575673587391975e-16 relative error 9.285526847424489e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1139999999999874 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.113999999999994 Order of pole (three term test) 2.3818360150864894e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8850000000000127 y[1] (closed_form) 0.10305851920366767 y[1] (numeric) 0.1030585192036667 absolute error 9.71445146547012e-16 relative error 9.426150832103553e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1149999999999873 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.114999999999992 Order of pole (three term test) 4.8097791609485155e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8840000000000128 y[1] (closed_form) 0.10299238185949945 y[1] (numeric) 0.1029923818594985 absolute error 9.575673587391975e-16 relative error 9.29745813671438e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1159999999999872 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.115999999999989 Order of pole (three term test) 2.428158771854356e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.883000000000013 y[1] (closed_form) 0.10292630815992651 y[1] (numeric) 0.10292630815992554 absolute error 9.71445146547012e-16 relative error 9.438258924410114e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.116999999999987 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1170000000000058 Order of pole (three term test) 2.451645535860425e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.882000000000013 y[1] (closed_form) 0.10286029802331394 y[1] (numeric) 0.10286029802331295 absolute error 9.853229343548264e-16 relative error 9.579234683254532e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.117999999999987 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1179999999999835 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.881000000000013 y[1] (closed_form) 0.10279435136815769 y[1] (numeric) 0.1027943513681567 absolute error 9.853229343548264e-16 relative error 9.585380142396104e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.118999999999987 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1189999999999833 Order of pole (three term test) 4.9985593062613665e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.880000000000013 y[1] (closed_form) 0.10272846811308436 y[1] (numeric) 0.10272846811308337 absolute error 9.992007221626409e-16 relative error 9.72661950981993e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.119999999999987 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1199999999999926 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8790000000000133 y[1] (closed_form) 0.10266264817685083 y[1] (numeric) 0.10266264817684984 absolute error 9.992007221626409e-16 relative error 9.732855521526946e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1209999999999867 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.120999999999991 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8780000000000134 y[1] (closed_form) 0.10259689147834411 y[1] (numeric) 0.10259689147834311 absolute error 9.992007221626409e-16 relative error 9.739093531635406e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1219999999999866 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1220000000000008 Order of pole (three term test) 5.1448245425816576e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8770000000000135 y[1] (closed_form) 0.10253119793658103 y[1] (numeric) 0.10253119793658003 absolute error 9.992007221626409e-16 relative error 9.74533354014531e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1229999999999865 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.122999999999992 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8760000000000137 y[1] (closed_form) 0.10246556747070805 y[1] (numeric) 0.10246556747070702 absolute error 1.0269562977782698e-15 relative error 1.0022452645586011e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1239999999999863 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1240000000000068 Order of pole (three term test) 5.2446240564441566e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8750000000000138 y[1] (closed_form) 0.1024000000000009 y[1] (numeric) 0.10239999999999988 absolute error 1.0130785099704553e-15 relative error 9.893344823930141e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1249999999999862 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1249999999999982 Order of pole (three term test) 5.295223030065302e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.874000000000014 y[1] (closed_form) 0.10233449544386451 y[1] (numeric) 0.10233449544386347 absolute error 1.0408340855860843e-15 relative error 1.017090162092051e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.125999999999986 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1259999999999803 Order of pole (three term test) 2.673146873779514e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.873000000000014 y[1] (closed_form) 0.10226905372183256 y[1] (numeric) 0.10226905372183152 absolute error 1.0408340855860843e-15 relative error 1.0177409956457681e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.126999999999986 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1269999999999802 Order of pole (three term test) 2.6989202270295757e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.872000000000014 y[1] (closed_form) 0.10220367475356743 y[1] (numeric) 0.10220367475356637 absolute error 1.0547118733938987e-15 relative error 1.0319705978645194e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.127999999999986 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1279999999999886 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.871000000000014 y[1] (closed_form) 0.10213835845885974 y[1] (numeric) 0.10213835845885869 absolute error 1.0547118733938987e-15 relative error 1.032630531083702e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.128999999999986 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.128999999999982 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8700000000000143 y[1] (closed_form) 0.10207310475762836 y[1] (numeric) 0.10207310475762728 absolute error 1.0824674490095276e-15 relative error 1.0604825351201343e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1299999999999857 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1299999999999963 Order of pole (three term test) 8.333069269736902e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8690000000000144 y[1] (closed_form) 0.10200791356991985 y[1] (numeric) 0.1020079135699188 absolute error 1.0547118733938987e-15 relative error 1.033951030349191e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1309999999999856 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1309999999999962 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8680000000000145 y[1] (closed_form) 0.10194278481590859 y[1] (numeric) 0.10194278481590752 absolute error 1.0685896612017132e-15 relative error 1.0482249068743856e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1319999999999855 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1319999999999992 Order of pole (three term test) 2.831432498188559e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8670000000000146 y[1] (closed_form) 0.10187771841589616 y[1] (numeric) 0.10187771841589507 absolute error 1.0824674490095276e-15 relative error 1.0625163832100781e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1329999999999854 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1330000000000013 Order of pole (three term test) 5.717358868589259e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8660000000000148 y[1] (closed_form) 0.10181271429031136 y[1] (numeric) 0.10181271429031027 absolute error 1.0824674490095276e-15 relative error 1.0631947655603725e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1339999999999852 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1339999999999915 Order of pole (three term test) 2.8861797471193884e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.865000000000015 y[1] (closed_form) 0.10174777235970986 y[1] (numeric) 0.10174777235970878 absolute error 1.0824674490095276e-15 relative error 1.0638733644041566e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.134999999999985 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1349999999999776 Order of pole (three term test) 2.913935710904693e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.864000000000015 y[1] (closed_form) 0.10168289254477399 y[1] (numeric) 0.10168289254477289 absolute error 1.096345236817342e-15 relative error 1.07820028460991e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.135999999999985 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.135999999999997 Order of pole (three term test) 2.9419496195701016e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.863000000000015 y[1] (closed_form) 0.10161807476631243 y[1] (numeric) 0.10161807476631134 absolute error 1.096345236817342e-15 relative error 1.0788880219769654e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.136999999999985 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.136999999999992 Order of pole (three term test) 2.970223786876629e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.862000000000015 y[1] (closed_form) 0.1015533189452601 y[1] (numeric) 0.10155331894525899 absolute error 1.1102230246251565e-15 relative error 1.0932414973296895e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.137999999999985 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1379999999999915 Order of pole (three term test) 2.9987605465921284e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8610000000000153 y[1] (closed_form) 0.10148862500267776 y[1] (numeric) 0.10148862500267664 absolute error 1.124100812432971e-15 relative error 1.1076126141262745e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1389999999999847 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.138999999999995 Order of pole (three term test) 3.027562252657732e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8600000000000154 y[1] (closed_form) 0.10142399285975189 y[1] (numeric) 0.10142399285975078 absolute error 1.1102230246251565e-15 relative error 1.0946354933594089e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1399999999999846 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1399999999999895 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8590000000000155 y[1] (closed_form) 0.10135942243779444 y[1] (numeric) 0.10135942243779332 absolute error 1.124100812432971e-15 relative error 1.1090244847466904e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1409999999999845 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1409999999999925 Order of pole (three term test) 3.085970021478808e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8580000000000156 y[1] (closed_form) 0.1012949136582425 y[1] (numeric) 0.10129491365824138 absolute error 1.124100812432971e-15 relative error 1.109730757287142e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1419999999999844 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1419999999999964 Order of pole (three term test) 6.231161789001136e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8570000000000157 y[1] (closed_form) 0.10123046644265815 y[1] (numeric) 0.10123046644265703 absolute error 1.124100812432971e-15 relative error 1.1104372546477559e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1429999999999843 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.142999999999997 Order of pole (three term test) 6.290932669494988e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.856000000000016 y[1] (closed_form) 0.1011660807127282 y[1] (numeric) 0.10116608071272706 absolute error 1.1379786002407855e-15 relative error 1.1248618037029588e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.143999999999984 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1439999999999935 Order of pole (three term test) 3.175628799572233e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.855000000000016 y[1] (closed_form) 0.10110175639026392 y[1] (numeric) 0.10110175639026277 absolute error 1.1518563880486e-15 relative error 1.1393040330598287e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.144999999999984 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.144999999999997 Order of pole (three term test) 6.412141535056595e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.854000000000016 y[1] (closed_form) 0.10103749339720085 y[1] (numeric) 0.10103749339719968 absolute error 1.1657341758564144e-15 relative error 1.1537639510450385e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.145999999999984 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.145999999999997 Order of pole (three term test) 6.473589477092223e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.853000000000016 y[1] (closed_form) 0.10097329165559851 y[1] (numeric) 0.10097329165559735 absolute error 1.1657341758564144e-15 relative error 1.154497547561905e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.146999999999984 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.146999999999996 Order of pole (three term test) 3.267803234110526e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8520000000000163 y[1] (closed_form) 0.10090915108764024 y[1] (numeric) 0.10090915108763907 absolute error 1.1796119636642288e-15 relative error 1.1689841317163874e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1479999999999837 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1480000000000006 Order of pole (three term test) 6.598197594879458e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8510000000000164 y[1] (closed_form) 0.10084507161563289 y[1] (numeric) 0.1008450716156317 absolute error 1.1796119636642288e-15 relative error 1.1697269333699067e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1489999999999836 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1489999999999787 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8500000000000165 y[1] (closed_form) 0.1007810531620066 y[1] (numeric) 0.10078105316200542 absolute error 1.1796119636642288e-15 relative error 1.1704699709458187e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1499999999999835 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1499999999999995 Order of pole (three term test) 3.3625614100151697e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8490000000000166 y[1] (closed_form) 0.10071709564931461 y[1] (numeric) 0.10071709564931342 absolute error 1.1934897514720433e-15 relative error 1.184992223790525e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1509999999999834 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1509999999999927 Order of pole (three term test) 6.789467311989044e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8480000000000167 y[1] (closed_form) 0.10065319900023297 y[1] (numeric) 0.10065319900023177 absolute error 1.1934897514720433e-15 relative error 1.1857444803808779e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1519999999999833 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1520000000000086 Order of pole (three term test) 1.0281610090718438e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.847000000000017 y[1] (closed_form) 0.10058936313756034 y[1] (numeric) 0.10058936313755915 absolute error 1.1934897514720433e-15 relative error 1.1864969756691807e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.152999999999983 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1529999999999956 Order of pole (three term test) 3.459973187368627e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.846000000000017 y[1] (closed_form) 0.10052558798421775 y[1] (numeric) 0.10052558798421656 absolute error 1.1934897514720433e-15 relative error 1.1872497096554342e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.153999999999983 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1539999999999973 Order of pole (three term test) 6.986091609675536e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.845000000000017 y[1] (closed_form) 0.10046187346324836 y[1] (numeric) 0.10046187346324716 absolute error 1.2073675392798577e-15 relative error 1.2018166670180057e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.154999999999983 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1549999999999896 Order of pole (three term test) 3.526423916462163e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.844000000000017 y[1] (closed_form) 0.10039821949781724 y[1] (numeric) 0.10039821949781601 absolute error 1.2351231148954867e-15 relative error 1.2302241225725516e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.155999999999983 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1559999999999873 Order of pole (three term test) 3.560110245940644e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8430000000000173 y[1] (closed_form) 0.10033462601121108 y[1] (numeric) 0.10033462601120985 absolute error 1.2351231148954867e-15 relative error 1.2310038557949853e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1569999999999827 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.15699999999998 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8420000000000174 y[1] (closed_form) 0.1002710929268381 y[1] (numeric) 0.10027109292683686 absolute error 1.2351231148954867e-15 relative error 1.2317838360420417e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1579999999999826 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.157999999999992 Order of pole (three term test) 3.6284185704937876e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8410000000000175 y[1] (closed_form) 0.10020762016822767 y[1] (numeric) 0.10020762016822642 absolute error 1.2490009027033011e-15 relative error 1.2464130977329761e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1589999999999825 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1589999999999847 Order of pole (three term test) 3.663046130787299e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8400000000000176 y[1] (closed_form) 0.10014420765903011 y[1] (numeric) 0.10014420765902887 absolute error 1.2351231148954867e-15 relative error 1.2333445376100236e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1599999999999824 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1599999999999895 Order of pole (three term test) 3.697993039764627e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8390000000000177 y[1] (closed_form) 0.10008085532301658 y[1] (numeric) 0.10008085532301533 absolute error 1.2490009027033011e-15 relative error 1.2479918348739932e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1609999999999823 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1610000000000027 Order of pole (three term test) 1.1199786420365433e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.838000000000018 y[1] (closed_form) 0.10001756308407869 y[1] (numeric) 0.10001756308407743 absolute error 1.2628786905111156e-15 relative error 1.2626569290130476e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.161999999999982 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.161999999999992 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.837000000000018 y[1] (closed_form) 0.09995433086622835 y[1] (numeric) 0.09995433086622708 absolute error 1.2628786905111156e-15 relative error 1.2634556997847958e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.162999999999982 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1629999999999847 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.836000000000018 y[1] (closed_form) 0.09989115859359755 y[1] (numeric) 0.09989115859359628 absolute error 1.27675647831893e-15 relative error 1.2781476321776917e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.163999999999982 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1639999999999873 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.835000000000018 y[1] (closed_form) 0.09982804619043813 y[1] (numeric) 0.09982804619043684 absolute error 1.2906342661267445e-15 relative error 1.292857383650133e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.164999999999982 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.164999999999992 Order of pole (three term test) 7.755236334528004e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8340000000000183 y[1] (closed_form) 0.09976499358112147 y[1] (numeric) 0.09976499358112018 absolute error 1.2906342661267445e-15 relative error 1.2936744842040175e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1659999999999817 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.165999999999985 Order of pole (three term test) 3.914541725798702e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8330000000000184 y[1] (closed_form) 0.0997020006901384 y[1] (numeric) 0.09970200069013711 absolute error 1.2906342661267445e-15 relative error 1.2944918428847557e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1669999999999816 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1669999999999936 Order of pole (three term test) 3.951805051249139e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8320000000000185 y[1] (closed_form) 0.09963906744209891 y[1] (numeric) 0.0996390674420976 absolute error 1.304512053934559e-15 relative error 1.3092375183987162e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1679999999999815 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.168000000000002 Order of pole (three term test) 3.989411161349538e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8310000000000186 y[1] (closed_form) 0.09957619376173187 y[1] (numeric) 0.09957619376173056 absolute error 1.304512053934559e-15 relative error 1.3100641876872944e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1689999999999814 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.169000000000003 Order of pole (three term test) 1.2082089299014552e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8300000000000187 y[1] (closed_form) 0.09951337957388488 y[1] (numeric) 0.09951337957388356 absolute error 1.3183898417423734e-15 relative error 1.3248367680684779e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1699999999999813 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.169999999999983 Order of pole (three term test) 4.06566393583708e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.829000000000019 y[1] (closed_form) 0.09945062480352404 y[1] (numeric) 0.09945062480352271 absolute error 1.3322676295501878e-15 relative error 1.33962720916257e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.170999999999981 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.170999999999992 Order of pole (three term test) 4.1043167657332977e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.828000000000019 y[1] (closed_form) 0.09938792937573368 y[1] (numeric) 0.09938792937573233 absolute error 1.3461454173580023e-15 relative error 1.3544355192962436e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.171999999999981 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1719999999999975 Order of pole (three term test) 8.286649423457032e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.827000000000019 y[1] (closed_form) 0.09932529321571616 y[1] (numeric) 0.09932529321571482 absolute error 1.3461454173580023e-15 relative error 1.3552896485635572e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.172999999999981 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1729999999999845 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.826000000000019 y[1] (closed_form) 0.09926271624879167 y[1] (numeric) 0.09926271624879032 absolute error 1.3461454173580023e-15 relative error 1.3561440470599544e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.173999999999981 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1739999999999866 Order of pole (three term test) 4.222418575206231e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8250000000000193 y[1] (closed_form) 0.09920019840039801 y[1] (numeric) 0.09920019840039664 absolute error 1.3739009929736312e-15 relative error 1.3849780697294642e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1749999999999807 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1750000000000007 Order of pole (three term test) 4.2625108718034096e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8240000000000194 y[1] (closed_form) 0.09913773959609026 y[1] (numeric) 0.09913773959608889 absolute error 1.3739009929736312e-15 relative error 1.3858506342501018e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1759999999999806 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1759999999999886 Order of pole (three term test) 4.302971043173659e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8230000000000195 y[1] (closed_form) 0.09907533976154075 y[1] (numeric) 0.09907533976153936 absolute error 1.3877787807814457e-15 relative error 1.4007307813645836e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1769999999999805 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.176999999999994 Order of pole (three term test) 4.343802347397688e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8220000000000196 y[1] (closed_form) 0.09901299882253864 y[1] (numeric) 0.09901299882253725 absolute error 1.3877787807814457e-15 relative error 1.4016127147797702e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1779999999999804 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.177999999999977 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8210000000000197 y[1] (closed_form) 0.09895071670498985 y[1] (numeric) 0.09895071670498846 absolute error 1.3877787807814457e-15 relative error 1.4024949257507129e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1789999999999803 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1789999999999843 Order of pole (three term test) 4.426591526037596e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.82000000000002 y[1] (closed_form) 0.09888849333491678 y[1] (numeric) 0.09888849333491538 absolute error 1.4016565685892601e-15 relative error 1.4174111884201857e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.17999999999998 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.179999999999988 Order of pole (three term test) 4.468556056610304e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.81900000000002 y[1] (closed_form) 0.09882632863845806 y[1] (numeric) 0.09882632863845665 absolute error 1.4016565685892601e-15 relative error 1.4183027821634654e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.18099999999998 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1810000000000085 Order of pole (three term test) 9.021810065626157e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.81800000000002 y[1] (closed_form) 0.09876422254186838 y[1] (numeric) 0.09876422254186697 absolute error 1.4155343563970746e-15 relative error 1.4332460884780392e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.18199999999998 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.181999999999988 Order of pole (three term test) 4.553641854109933e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.81700000000002 y[1] (closed_form) 0.09870217497151827 y[1] (numeric) 0.09870217497151684 absolute error 1.429412144204889e-15 relative error 1.4482073415478063e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.18299999999998 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1829999999999807 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8160000000000203 y[1] (closed_form) 0.09864018585389384 y[1] (numeric) 0.0986401858538924 absolute error 1.429412144204889e-15 relative error 1.4491174482600215e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1839999999999797 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1839999999999975 Order of pole (three term test) 4.640292774965789e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8150000000000204 y[1] (closed_form) 0.09857825511559659 y[1] (numeric) 0.09857825511559515 absolute error 1.4432899320127035e-15 relative error 1.464105781057138e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1849999999999796 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1849999999999903 Order of pole (three term test) 4.684213819291359e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8140000000000205 y[1] (closed_form) 0.0985163826833432 y[1] (numeric) 0.09851638268334176 absolute error 1.4432899320127035e-15 relative error 1.4650253010728231e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1859999999999795 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1859999999999937 Order of pole (three term test) 7.092804898088307e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8130000000000206 y[1] (closed_form) 0.09845456848396533 y[1] (numeric) 0.09845456848396388 absolute error 1.457167719820518e-15 relative error 1.4800407358017494e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1869999999999794 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1869999999999914 Order of pole (three term test) 4.7732646600144424e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8120000000000207 y[1] (closed_form) 0.09839281244440934 y[1] (numeric) 0.09839281244440787 absolute error 1.4710455076283324e-15 relative error 1.495074153368117e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1879999999999793 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.187999999999984 Order of pole (three term test) 4.818401580089092e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.811000000000021 y[1] (closed_form) 0.09833111449173612 y[1] (numeric) 0.09833111449173464 absolute error 1.4849232954361469e-15 relative error 1.510125562098599e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.188999999999979 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.189000000000004 Order of pole (three term test) 9.727901932625419e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.810000000000021 y[1] (closed_form) 0.09826947455312086 y[1] (numeric) 0.09826947455311938 absolute error 1.4849232954361469e-15 relative error 1.5110727946687575e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.189999999999979 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1899999999999964 Order of pole (three term test) 7.364874685094728e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809000000000021 y[1] (closed_form) 0.09820789255585285 y[1] (numeric) 0.09820789255585138 absolute error 1.4710455076283324e-15 relative error 1.4978892931560653e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.190999999999979 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.190999999999988 Order of pole (three term test) 4.95630172031768e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.808000000000021 y[1] (closed_form) 0.0981463684273353 y[1] (numeric) 0.09814636842733382 absolute error 1.4849232954361469e-15 relative error 1.512968150763052e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.191999999999979 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1919999999999904 Order of pole (three term test) 5.0031104572393635e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8070000000000213 y[1] (closed_form) 0.09808490209508501 y[1] (numeric) 0.09808490209508351 absolute error 1.4988010832439613e-15 relative error 1.5280650245141709e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1929999999999787 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1929999999999983 Order of pole (three term test) 5.050346399098865e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8060000000000214 y[1] (closed_form) 0.09802349348673227 y[1] (numeric) 0.09802349348673076 absolute error 1.5126788710517758e-15 relative error 1.5431799227360948e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1939999999999786 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.193999999999985 Order of pole (three term test) 2.5490066545991832e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8050000000000215 y[1] (closed_form) 0.0979621425300206 y[1] (numeric) 0.09796214253001907 absolute error 1.5265566588595902e-15 relative error 1.5583128537554958e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1949999999999785 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1949999999999807 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8040000000000216 y[1] (closed_form) 0.09790084915280653 y[1] (numeric) 0.097900849152805 absolute error 1.5265566588595902e-15 relative error 1.559288476116173e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1959999999999784 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.195999999999983 Order of pole (three term test) 5.1946552473744015e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8030000000000217 y[1] (closed_form) 0.09783961328305944 y[1] (numeric) 0.09783961328305792 absolute error 1.5265566588595902e-15 relative error 1.5602644037881818e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1969999999999783 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.196999999999989 Order of pole (three term test) 2.6218189814446225e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.802000000000022 y[1] (closed_form) 0.0977784348488613 y[1] (numeric) 0.09777843484885976 absolute error 1.5404344466674047e-15 relative error 1.5754337334694454e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.197999999999978 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1979999999999973 Order of pole (three term test) 5.2930670220494216e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.801000000000022 y[1] (closed_form) 0.09771731377840641 y[1] (numeric) 0.09771731377840487 absolute error 1.5404344466674047e-15 relative error 1.5764191493849785e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.198999999999978 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1989999999999856 Order of pole (three term test) 2.6714731752885154e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.800000000000022 y[1] (closed_form) 0.09765625000000135 y[1] (numeric) 0.09765624999999979 absolute error 1.5543122344752192e-15 relative error 1.5916157281026024e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.199999999999978 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1999999999999855 Order of pole (three term test) 5.393279907478551e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.799000000000022 y[1] (closed_form) 0.09759524344206456 y[1] (numeric) 0.09759524344206301 absolute error 1.5543122344752192e-15 relative error 1.5926106433638902e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.200999999999978 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.200999999999984 Order of pole (three term test) 5.444071685316329e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7980000000000222 y[1] (closed_form) 0.09753429403312634 y[1] (numeric) 0.09753429403312477 absolute error 1.5681900222830336e-15 relative error 1.6078344933223355e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2019999999999778 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.201999999999976 Order of pole (three term test) 2.7476628552412374e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7970000000000224 y[1] (closed_form) 0.09747340170182846 y[1] (numeric) 0.09747340170182689 absolute error 1.5681900222830336e-15 relative error 1.6088389190316076e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2029999999999776 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.202999999999992 Order of pole (three term test) 2.7735230217374126e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7960000000000225 y[1] (closed_form) 0.0974125663769241 y[1] (numeric) 0.09741256637692251 absolute error 1.582067810090848e-15 relative error 1.6240900624353341e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2039999999999775 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2039999999999775 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7950000000000226 y[1] (closed_form) 0.09735178798727749 y[1] (numeric) 0.09735178798727591 absolute error 1.582067810090848e-15 relative error 1.6251040096948214e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2049999999999774 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.204999999999993 Order of pole (three term test) 8.47785307069264e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7940000000000227 y[1] (closed_form) 0.09729106646186386 y[1] (numeric) 0.09729106646186227 absolute error 1.5959455978986625e-15 relative error 1.6403824687482904e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2059999999999773 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.205999999999977 Order of pole (three term test) 2.8525230059137784e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.793000000000023 y[1] (closed_form) 0.09723040172976911 y[1] (numeric) 0.09723040172976752 absolute error 1.5959455978986625e-15 relative error 1.641405948660223e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.206999999999977 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.206999999999987 Order of pole (three term test) 2.8793364364979394e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.792000000000023 y[1] (closed_form) 0.0971697937201897 y[1] (numeric) 0.09716979372018808 absolute error 1.6237011735142914e-15 relative error 1.6709937433745142e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.207999999999977 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2079999999999846 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.791000000000023 y[1] (closed_form) 0.09710924236243232 y[1] (numeric) 0.0971092423624307 absolute error 1.6237011735142914e-15 relative error 1.6720356724175582e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.208999999999977 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2089999999999828 Order of pole (three term test) 2.933696130756942e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.790000000000023 y[1] (closed_form) 0.09704874758591381 y[1] (numeric) 0.09704874758591217 absolute error 1.6375789613221059e-15 relative error 1.6873777375358866e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.209999999999977 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.209999999999998 Order of pole (three term test) 8.88374005059065e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7890000000000232 y[1] (closed_form) 0.09698830932016089 y[1] (numeric) 0.09698830932015924 absolute error 1.6514567491299204e-15 relative error 1.7027379492495528e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2109999999999768 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2109999999999865 Order of pole (three term test) 2.989047263027421e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7880000000000233 y[1] (closed_form) 0.09692792749480994 y[1] (numeric) 0.0969279274948083 absolute error 1.6375789613221059e-15 relative error 1.689481043953809e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2119999999999767 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.21199999999998 Order of pole (three term test) 3.01710005936299e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7870000000000235 y[1] (closed_form) 0.0968676020396069 y[1] (numeric) 0.09686760203960525 absolute error 1.6514567491299204e-15 relative error 1.704859740880835e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2129999999999765 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.212999999999996 Order of pole (three term test) 6.09081456228951e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7860000000000236 y[1] (closed_form) 0.09680733288440689 y[1] (numeric) 0.09680733288440523 absolute error 1.6653345369377348e-15 relative error 1.720256603832101e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2139999999999764 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2139999999999844 Order of pole (three term test) 3.073971155624235e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7850000000000237 y[1] (closed_form) 0.09674711995917414 y[1] (numeric) 0.09674711995917248 absolute error 1.6514567491299204e-15 relative error 1.706982853677516e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2149999999999763 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2149999999999834 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.784000000000024 y[1] (closed_form) 0.09668696319398178 y[1] (numeric) 0.09668696319398011 absolute error 1.6653345369377348e-15 relative error 1.722398224046603e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.215999999999976 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2159999999999966 Order of pole (three term test) 6.263755731623321e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.783000000000024 y[1] (closed_form) 0.09662686251901156 y[1] (numeric) 0.09662686251900988 absolute error 1.6792123247455493e-15 relative error 1.7378317798688332e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.216999999999976 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2169999999999885 Order of pole (three term test) 3.161225250610889e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.782000000000024 y[1] (closed_form) 0.09656681786455373 y[1] (numeric) 0.09656681786455204 absolute error 1.6930901125533637e-15 relative error 1.7532835294708797e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.217999999999976 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.217999999999983 Order of pole (three term test) 3.1908383865994564e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.781000000000024 y[1] (closed_form) 0.09650682916100678 y[1] (numeric) 0.09650682916100509 absolute error 1.6930901125533637e-15 relative error 1.7543733715763302e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.218999999999976 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2189999999999803 Order of pole (three term test) 3.220719596544006e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7800000000000242 y[1] (closed_form) 0.09644689633887728 y[1] (numeric) 0.09644689633887557 absolute error 1.7069679003611782e-15 relative error 1.7698525978104572e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2199999999999758 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2199999999999793 Order of pole (three term test) 3.2508712227818804e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7790000000000243 y[1] (closed_form) 0.0963870193287796 y[1] (numeric) 0.0963870193287779 absolute error 1.7069679003611782e-15 relative error 1.7709520558350797e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2209999999999757 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.220999999999997 Order of pole (three term test) 6.562591254759724e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7780000000000244 y[1] (closed_form) 0.09632719806143586 y[1] (numeric) 0.09632719806143415 absolute error 1.7069679003611782e-15 relative error 1.7720518552532827e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2219999999999756 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2219999999999853 Order of pole (three term test) 6.623990384588184e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7770000000000246 y[1] (closed_form) 0.09626743246767559 y[1] (numeric) 0.09626743246767386 absolute error 1.734723475976807e-15 relative error 1.8019837358384806e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2229999999999754 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.222999999999989 Order of pole (three term test) 3.3429723195314225e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7760000000000247 y[1] (closed_form) 0.09620772247843555 y[1] (numeric) 0.09620772247843382 absolute error 1.734723475976807e-15 relative error 1.803102112063443e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2239999999999753 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.223999999999991 Order of pole (three term test) 6.748458862623511e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.775000000000025 y[1] (closed_form) 0.0961480680247596 y[1] (numeric) 0.09614806802475787 absolute error 1.734723475976807e-15 relative error 1.8042208352331e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.224999999999975 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.224999999999982 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.774000000000025 y[1] (closed_form) 0.09608846903779845 y[1] (numeric) 0.0960884690377967 absolute error 1.7486012637846216e-15 relative error 1.8197826245902326e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.225999999999975 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.225999999999982 Order of pole (three term test) 3.437593399430413e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.773000000000025 y[1] (closed_form) 0.09602892544880948 y[1] (numeric) 0.09602892544880771 absolute error 1.762479051592436e-15 relative error 1.8353626715650044e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.226999999999975 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2269999999999923 Order of pole (three term test) 6.939410405508459e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.772000000000025 y[1] (closed_form) 0.09596943718915649 y[1] (numeric) 0.09596943718915472 absolute error 1.762479051592436e-15 relative error 1.8365003517928072e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.227999999999975 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2279999999999722 Order of pole (three term test) 3.502106884925875e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.771000000000025 y[1] (closed_form) 0.09591000419030958 y[1] (numeric) 0.09591000419030782 absolute error 1.762479051592436e-15 relative error 1.8376383845164202e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.228999999999975 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.228999999999978 Order of pole (three term test) 3.53480097171269e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7700000000000253 y[1] (closed_form) 0.09585062638384492 y[1] (numeric) 0.09585062638384315 absolute error 1.7763568394002505e-15 relative error 1.853255326977858e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2299999999999747 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2299999999999964 Order of pole (three term test) 7.135580020193679e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7690000000000254 y[1] (closed_form) 0.09579130370144454 y[1] (numeric) 0.09579130370144276 absolute error 1.7763568394002505e-15 relative error 1.854403031131795e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2309999999999746 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2309999999999883 Order of pole (three term test) 7.202153136893744e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7680000000000256 y[1] (closed_form) 0.09573203607489612 y[1] (numeric) 0.09573203607489435 absolute error 1.7763568394002505e-15 relative error 1.855551090557099e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2319999999999744 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.231999999999983 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7670000000000257 y[1] (closed_form) 0.09567282343609289 y[1] (numeric) 0.0956728234360911 absolute error 1.790234627208065e-15 relative error 1.871204970138566e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2329999999999743 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2329999999999925 Order of pole (three term test) 7.337105252979811e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7660000000000258 y[1] (closed_form) 0.09561366571703325 y[1] (numeric) 0.09561366571703146 absolute error 1.790234627208065e-15 relative error 1.8723627148719815e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2339999999999742 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2339999999999898 Order of pole (three term test) 1.1108242114244498e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.765000000000026 y[1] (closed_form) 0.09555456284982082 y[1] (numeric) 0.095554562849819 absolute error 1.817990202823694e-15 relative error 1.9025676520345286e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.234999999999974 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.234999999999994 Order of pole (three term test) 7.474500254244194e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.764000000000026 y[1] (closed_form) 0.09549551476666397 y[1] (numeric) 0.09549551476666215 absolute error 1.817990202823694e-15 relative error 1.9037440734947757e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.235999999999974 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.235999999999973 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.763000000000026 y[1] (closed_form) 0.09543652139987589 y[1] (numeric) 0.09543652139987406 absolute error 1.8318679906315083e-15 relative error 1.919462239152705e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.236999999999974 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2369999999999917 Order of pole (three term test) 3.807190405011086e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.762000000000026 y[1] (closed_form) 0.0953775826818742 y[1] (numeric) 0.09537758268187237 absolute error 1.8318679906315083e-15 relative error 1.920648373676639e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.237999999999974 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.23799999999999 Order of pole (three term test) 7.68526670109536e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7610000000000263 y[1] (closed_form) 0.09531869854518084 y[1] (numeric) 0.09531869854517902 absolute error 1.817990202823694e-15 relative error 1.9072755194637603e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2389999999999737 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.238999999999987 Order of pole (three term test) 3.878395153939919e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7600000000000264 y[1] (closed_form) 0.09525986892242193 y[1] (numeric) 0.09525986892242008 absolute error 1.8457457784393227e-15 relative error 1.9375900883744318e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2399999999999736 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2399999999999842 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7590000000000265 y[1] (closed_form) 0.0952010937463274 y[1] (numeric) 0.09520109374632556 absolute error 1.8457457784393227e-15 relative error 1.938786316213438e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2409999999999735 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2409999999999726 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7580000000000267 y[1] (closed_form) 0.09514237294973099 y[1] (numeric) 0.09514237294972916 absolute error 1.8318679906315083e-15 relative error 1.9253965755083553e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2419999999999733 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2419999999999907 Order of pole (three term test) 3.9876215152118903e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7570000000000268 y[1] (closed_form) 0.09508370646557 y[1] (numeric) 0.09508370646556816 absolute error 1.8457457784393227e-15 relative error 1.941179879338918e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2429999999999732 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2429999999999883 Order of pole (three term test) 4.024686670620706e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.756000000000027 y[1] (closed_form) 0.09502509422688502 y[1] (numeric) 0.09502509422688316 absolute error 1.8596235662471372e-15 relative error 1.9569815545849806e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.243999999999973 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.243999999999981 Order of pole (three term test) 8.124169522947008e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.755000000000027 y[1] (closed_form) 0.09496653616681978 y[1] (numeric) 0.09496653616681794 absolute error 1.8457457784393227e-15 relative error 1.943574919061021e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.244999999999973 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2449999999999855 Order of pole (three term test) 4.0998186743256175e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.754000000000027 y[1] (closed_form) 0.0949080322186211 y[1] (numeric) 0.09490803221861924 absolute error 1.8596235662471372e-15 relative error 1.9593953459739694e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.245999999999973 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2459999999999702 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.753000000000027 y[1] (closed_form) 0.09484958231563842 y[1] (numeric) 0.09484958231563656 absolute error 1.8596235662471372e-15 relative error 1.9606027995555338e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.246999999999973 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.246999999999978 Order of pole (three term test) 4.1763056330690834e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7520000000000273 y[1] (closed_form) 0.09479118639132388 y[1] (numeric) 0.094791186391322 absolute error 1.8735013540549517e-15 relative error 1.9764510028607794e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2479999999999727 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2479999999999767 Order of pole (three term test) 4.215064573475044e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7510000000000274 y[1] (closed_form) 0.09473284437923196 y[1] (numeric) 0.09473284437923007 absolute error 1.887379141862766e-15 relative error 1.9923176108882163e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2489999999999726 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2489999999999855 Order of pole (three term test) 8.508342250604422e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7500000000000275 y[1] (closed_form) 0.09467455621301936 y[1] (numeric) 0.09467455621301747 absolute error 1.887379141862766e-15 relative error 1.9935442185925128e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2499999999999725 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.249999999999977 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7490000000000276 y[1] (closed_form) 0.0946163218264448 y[1] (numeric) 0.09461632182644292 absolute error 1.887379141862766e-15 relative error 1.9947712037726378e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2509999999999724 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.25099999999998 Order of pole (three term test) 4.333439124880893e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7480000000000278 y[1] (closed_form) 0.09455814115336886 y[1] (numeric) 0.09455814115336697 absolute error 1.887379141862766e-15 relative error 1.9959985664285913e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2519999999999722 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2519999999999927 Order of pole (three term test) 8.747213332883421e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.747000000000028 y[1] (closed_form) 0.09450001412775373 y[1] (numeric) 0.09450001412775183 absolute error 1.9012569296705806e-15 relative error 2.0119117941086103e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.252999999999972 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2529999999999624 Order of pole (three term test) 4.4141340074472155e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.746000000000028 y[1] (closed_form) 0.09444194068366304 y[1] (numeric) 0.09444194068366114 absolute error 1.9012569296705806e-15 relative error 2.0131489419927474e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.253999999999972 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.253999999999987 Order of pole (three term test) 4.4550242586950496e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.745000000000028 y[1] (closed_form) 0.09438392075526175 y[1] (numeric) 0.09438392075525985 absolute error 1.9012569296705806e-15 relative error 2.01438647012827e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.254999999999972 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2549999999999715 Order of pole (three term test) 4.496280556909747e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.744000000000028 y[1] (closed_form) 0.09432595427681587 y[1] (numeric) 0.09432595427681394 absolute error 1.9290125052862095e-15 relative error 2.0450495519241584e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.255999999999972 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2559999999999683 Order of pole (three term test) 4.537906064951204e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7430000000000283 y[1] (closed_form) 0.09426804118269225 y[1] (numeric) 0.09426804118269032 absolute error 1.9290125052862095e-15 relative error 2.0463059177688514e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2569999999999717 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.256999999999991 Order of pole (three term test) 9.159807944048167e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7420000000000284 y[1] (closed_form) 0.09421018140735855 y[1] (numeric) 0.09421018140735661 absolute error 1.942890293094024e-15 relative error 2.0622933361024917e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2579999999999716 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.257999999999972 Order of pole (three term test) 4.6222774938889605e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7410000000000285 y[1] (closed_form) 0.09415237488538289 y[1] (numeric) 0.09415237488538095 absolute error 1.942890293094024e-15 relative error 2.063559517706501e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2589999999999715 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2589999999999795 Order of pole (three term test) 4.665029873075538e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7400000000000286 y[1] (closed_form) 0.09409462155143376 y[1] (numeric) 0.0940946215514318 absolute error 1.9567680809018384e-15 relative error 2.0795748456592015e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2599999999999714 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2599999999999794 Order of pole (three term test) 2.354082189548394e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7390000000000287 y[1] (closed_form) 0.0940369213402798 y[1] (numeric) 0.09403692134027783 absolute error 1.970645868709653e-15 relative error 2.0956086616008194e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2609999999999713 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2609999999999753 Order of pole (three term test) 4.751684308665338e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.738000000000029 y[1] (closed_form) 0.0939792741867896 y[1] (numeric) 0.09397927418678763 absolute error 1.970645868709653e-15 relative error 2.0968941139009785e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.261999999999971 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.261999999999967 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.737000000000029 y[1] (closed_form) 0.09392168002593157 y[1] (numeric) 0.09392168002592959 absolute error 1.9845236565174673e-15 relative error 2.112955875543905e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.262999999999971 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.262999999999969 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.736000000000029 y[1] (closed_form) 0.0938641387927737 y[1] (numeric) 0.0938641387927717 absolute error 1.9984014443252818e-15 relative error 2.1290361473802093e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.263999999999971 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.263999999999975 Order of pole (three term test) 2.4422950091806323e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.735000000000029 y[1] (closed_form) 0.09380665042248339 y[1] (numeric) 0.09380665042248139 absolute error 1.9984014443252818e-15 relative error 2.1303409036832096e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.264999999999971 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2649999999999797 Order of pole (three term test) 4.9296851608966175e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7340000000000293 y[1] (closed_form) 0.0937492148503273 y[1] (numeric) 0.09374921485032531 absolute error 1.9984014443252818e-15 relative error 2.1316460596664983e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2659999999999707 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2659999999999703 Order of pole (three term test) 2.4875913131096696e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7330000000000294 y[1] (closed_form) 0.09369183201167118 y[1] (numeric) 0.09369183201166918 absolute error 1.9984014443252818e-15 relative error 2.132951615330076e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2669999999999706 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.266999999999991 Order of pole (three term test) 1.0042171757746508e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7320000000000295 y[1] (closed_form) 0.09363450184197962 y[1] (numeric) 0.0936345018419776 absolute error 2.0261570199409107e-15 relative error 2.1639000369333022e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2679999999999705 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2679999999999856 Order of pole (three term test) 5.067398412162111e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7310000000000296 y[1] (closed_form) 0.09357722427681586 y[1] (numeric) 0.09357722427681382 absolute error 2.040034807748725e-15 relative error 2.1800548408168074e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2689999999999704 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.268999999999978 Order of pole (three term test) 2.557061874189828e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7300000000000297 y[1] (closed_form) 0.09351999925184169 y[1] (numeric) 0.09351999925183967 absolute error 2.0261570199409107e-15 relative error 2.1665494398525776e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2699999999999703 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2699999999999805 Order of pole (three term test) 7.741898158561643e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.72900000000003 y[1] (closed_form) 0.0934628267028173 y[1] (numeric) 0.09346282670281525 absolute error 2.0539125955565396e-15 relative error 2.197571663531366e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.27099999999997 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2709999999999764 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.72800000000003 y[1] (closed_form) 0.0934057065656009 y[1] (numeric) 0.09340570656559885 absolute error 2.0539125955565396e-15 relative error 2.198915538542638e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.27199999999997 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.271999999999974 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.72700000000003 y[1] (closed_form) 0.09334863877614878 y[1] (numeric) 0.09334863877614671 absolute error 2.067790383364354e-15 relative error 2.2151264447711353e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.27299999999997 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2729999999999877 Order of pole (three term test) 5.3052245960764625e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.72600000000003 y[1] (closed_form) 0.09329162327051496 y[1] (numeric) 0.09329162327051288 absolute error 2.0816681711721685e-15 relative error 2.2313559333575073e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.27399999999997 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.273999999999972 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7250000000000303 y[1] (closed_form) 0.0932346599848511 y[1] (numeric) 0.093234659984849 absolute error 2.095545958979983e-15 relative error 2.247604012628426e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2749999999999697 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.274999999999972 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7240000000000304 y[1] (closed_form) 0.09317774885540626 y[1] (numeric) 0.09317774885540417 absolute error 2.095545958979983e-15 relative error 2.248976804786154e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2759999999999696 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2759999999999847 Order of pole (three term test) 5.4530616522782746e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7230000000000305 y[1] (closed_form) 0.09312088981852681 y[1] (numeric) 0.09312088981852472 absolute error 2.095545958979983e-15 relative error 2.250350016053073e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2769999999999695 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.276999999999985 Order of pole (three term test) 5.503219770540515e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7220000000000306 y[1] (closed_form) 0.09306408281065616 y[1] (numeric) 0.09306408281065406 absolute error 2.095545958979983e-15 relative error 2.2517236464291846e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2779999999999694 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2779999999999796 Order of pole (three term test) 2.776911867863201e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7210000000000307 y[1] (closed_form) 0.09300732776833463 y[1] (numeric) 0.09300732776833252 absolute error 2.1094237467877974e-15 relative error 2.2680188727086233e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2789999999999693 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.278999999999977 Order of pole (three term test) 2.80243868653211e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.720000000000031 y[1] (closed_form) 0.09295062462819925 y[1] (numeric) 0.09295062462819714 absolute error 2.1094237467877974e-15 relative error 2.269402443744141e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.279999999999969 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.279999999999978 Order of pole (three term test) 5.656384539419698e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719000000000031 y[1] (closed_form) 0.09289397332698363 y[1] (numeric) 0.0928939733269815 absolute error 2.123301534595612e-15 relative error 2.2857258211161477e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.280999999999969 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2809999999999757 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.718000000000031 y[1] (closed_form) 0.09283737380151767 y[1] (numeric) 0.09283737380151556 absolute error 2.1094237467877974e-15 relative error 2.2721708514694255e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.281999999999969 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.281999999999973 Order of pole (three term test) 2.88038752317362e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.717000000000031 y[1] (closed_form) 0.0927808259887276 y[1] (numeric) 0.09278082598872547 absolute error 2.123301534595612e-15 relative error 2.288513291370765e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.282999999999969 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2829999999999737 Order of pole (three term test) 5.813666261114849e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7160000000000313 y[1] (closed_form) 0.09272432982563553 y[1] (numeric) 0.09272432982563339 absolute error 2.1371793224034263e-15 relative error 2.3048743802433607e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2839999999999687 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2839999999999803 Order of pole (three term test) 5.8670267538047e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7150000000000314 y[1] (closed_form) 0.09266788524935947 y[1] (numeric) 0.09266788524935733 absolute error 2.1371793224034263e-15 relative error 2.3062782933402473e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2849999999999686 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.28499999999997 Order of pole (three term test) 2.9604302716435254e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7140000000000315 y[1] (closed_form) 0.09261149219711311 y[1] (numeric) 0.09261149219711097 absolute error 2.1371793224034263e-15 relative error 2.3076826338729984e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2859999999999685 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.285999999999976 Order of pole (three term test) 2.9875858408051634e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7130000000000316 y[1] (closed_form) 0.09255515060620563 y[1] (numeric) 0.09255515060620348 absolute error 2.1510571102112408e-15 relative error 2.3240814758795466e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2869999999999684 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.286999999999978 Order of pole (three term test) 3.014982127132285e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7120000000000317 y[1] (closed_form) 0.0924988604140415 y[1] (numeric) 0.09249886041403933 absolute error 2.1649348980190553e-15 relative error 2.3404989946129263e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2879999999999683 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.287999999999972 Order of pole (three term test) 3.042621190223635e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.711000000000032 y[1] (closed_form) 0.09244262155812032 y[1] (numeric) 0.09244262155811817 absolute error 2.1510571102112408e-15 relative error 2.3269105461908964e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.288999999999968 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2889999999999646 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.710000000000032 y[1] (closed_form) 0.09238643397603674 y[1] (numeric) 0.09238643397603459 absolute error 2.1510571102112408e-15 relative error 2.328325726663704e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.289999999999968 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.28999999999998 Order of pole (three term test) 6.197271940333695e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709000000000032 y[1] (closed_form) 0.09233029760548016 y[1] (numeric) 0.09233029760547799 absolute error 2.1649348980190553e-15 relative error 2.344771926621146e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.290999999999968 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.29099999999997 Order of pole (three term test) 3.127015891694615e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.708000000000032 y[1] (closed_form) 0.09227421238423457 y[1] (numeric) 0.0922742123842324 absolute error 2.1649348980190553e-15 relative error 2.346197103264512e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.291999999999968 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.291999999999975 Order of pole (three term test) 6.311293999222728e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7070000000000323 y[1] (closed_form) 0.09221817825017847 y[1] (numeric) 0.0922181782501763 absolute error 2.1788126858268697e-15 relative error 2.362671576439055e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2929999999999677 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2929999999999744 Order of pole (three term test) 3.184531439812854e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7060000000000324 y[1] (closed_form) 0.09216219514128461 y[1] (numeric) 0.09216219514128243 absolute error 2.1788126858268697e-15 relative error 2.3641067603552094e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2939999999999676 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.293999999999979 Order of pole (three term test) 6.427342751734472e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7050000000000325 y[1] (closed_form) 0.09210626299561986 y[1] (numeric) 0.09210626299561768 absolute error 2.1788126858268697e-15 relative error 2.3655423800339007e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2949999999999675 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2949999999999755 Order of pole (three term test) 3.243068989155097e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7040000000000326 y[1] (closed_form) 0.09205038175134501 y[1] (numeric) 0.09205038175134284 absolute error 2.1788126858268697e-15 relative error 2.366978435475129e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2959999999999674 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2959999999999803 Order of pole (three term test) 3.272726479010693e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7030000000000327 y[1] (closed_form) 0.09199455134671466 y[1] (numeric) 0.09199455134671247 absolute error 2.192690473634684e-15 relative error 2.383500372071753e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.2969999999999673 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2969999999999713 Order of pole (three term test) 3.302646062864131e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.702000000000033 y[1] (closed_form) 0.09193877172007696 y[1] (numeric) 0.09193877172007475 absolute error 2.2065682614424986e-15 relative error 2.4000410492330337e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.297999999999967 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.297999999999972 Order of pole (three term test) 3.332829976384778e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.701000000000033 y[1] (closed_form) 0.09188304280987349 y[1] (numeric) 0.09188304280987128 absolute error 2.2065682614424986e-15 relative error 2.4014967223151074e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.298999999999967 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.29899999999997 Order of pole (three term test) 3.3632804736256256e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.700000000000033 y[1] (closed_form) 0.09182736455463913 y[1] (numeric) 0.0918273645546369 absolute error 2.2343238370581275e-15 relative error 2.433178658556252e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.299999999999967 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.299999999999975 Order of pole (three term test) 3.393999827168832e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.699000000000033 y[1] (closed_form) 0.09177173689300178 y[1] (numeric) 0.09177173689299956 absolute error 2.220446049250313e-15 relative error 2.4195314640706523e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.300999999999967 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.300999999999964 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6980000000000333 y[1] (closed_form) 0.09171615976368233 y[1] (numeric) 0.0917161597636801 absolute error 2.2343238370581275e-15 relative error 2.436128859750703e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3019999999999667 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3019999999999805 Order of pole (three term test) 6.912508574035404e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6970000000000334 y[1] (closed_form) 0.09166063310549434 y[1] (numeric) 0.09166063310549212 absolute error 2.220446049250313e-15 relative error 2.4224642292125023e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3029999999999666 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.30299999999997 Order of pole (three term test) 3.4877940324587836e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6960000000000335 y[1] (closed_form) 0.09160515685734404 y[1] (numeric) 0.09160515685734182 absolute error 2.220446049250313e-15 relative error 2.423931277917242e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3039999999999665 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3039999999999847 Order of pole (three term test) 7.03922382554395e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6950000000000336 y[1] (closed_form) 0.09154973095823 y[1] (numeric) 0.09154973095822777 absolute error 2.2343238370581275e-15 relative error 2.440557513028136e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3049999999999664 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.304999999999971 Order of pole (three term test) 3.551710295407113e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6940000000000337 y[1] (closed_form) 0.09149435534724308 y[1] (numeric) 0.09149435534724083 absolute error 2.248201624865942e-15 relative error 2.457202541439279e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3059999999999663 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.305999999999976 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.693000000000034 y[1] (closed_form) 0.09143902996356616 y[1] (numeric) 0.09143902996356391 absolute error 2.248201624865942e-15 relative error 2.458689277173803e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.306999999999966 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3069999999999706 Order of pole (three term test) 3.616758134725627e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.692000000000034 y[1] (closed_form) 0.0913837547464741 y[1] (numeric) 0.09138375474647184 absolute error 2.2620794126737565e-15 relative error 2.4753627370088284e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.307999999999966 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3079999999999914 Order of pole (three term test) 7.299424848105984e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.691000000000034 y[1] (closed_form) 0.09132852963533346 y[1] (numeric) 0.0913285296353312 absolute error 2.2620794126737565e-15 relative error 2.4768595549561946e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.308999999999966 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3089999999999655 Order of pole (three term test) 3.682956881300646e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.690000000000034 y[1] (closed_form) 0.09127335456960237 y[1] (numeric) 0.09127335456960012 absolute error 2.248201624865942e-15 relative error 2.4631521822193243e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.309999999999966 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.309999999999973 Order of pole (three term test) 3.7164939725939697e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6890000000000343 y[1] (closed_form) 0.09121822948883043 y[1] (numeric) 0.09121822948882817 absolute error 2.2620794126737565e-15 relative error 2.4798545480985743e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3109999999999657 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.310999999999966 Order of pole (three term test) 3.7503261842630136e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6880000000000344 y[1] (closed_form) 0.09116315433265842 y[1] (numeric) 0.09116315433265616 absolute error 2.2620794126737565e-15 relative error 2.481352723293588e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3119999999999656 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.311999999999973 Order of pole (three term test) 3.784456023002106e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6870000000000345 y[1] (closed_form) 0.09110812904081825 y[1] (numeric) 0.09110812904081597 absolute error 2.275957200481571e-15 relative error 2.4980835677811987e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3129999999999655 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.312999999999979 Order of pole (three term test) 3.818886016030245e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6860000000000346 y[1] (closed_form) 0.09105315355313268 y[1] (numeric) 0.09105315355313041 absolute error 2.2620794126737565e-15 relative error 2.484350430931263e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3139999999999654 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3139999999999756 Order of pole (three term test) 7.707237422505929e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6850000000000347 y[1] (closed_form) 0.09099822780951532 y[1] (numeric) 0.09099822780951303 absolute error 2.2898349882893854e-15 relative error 2.5163511899183895e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3149999999999653 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3149999999999835 Order of pole (three term test) 3.8886566774253743e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.684000000000035 y[1] (closed_form) 0.09094335174997026 y[1] (numeric) 0.09094335174996797 absolute error 2.2898349882893854e-15 relative error 2.517869579499124e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.315999999999965 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3159999999999776 Order of pole (three term test) 7.848005008632574e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.683000000000035 y[1] (closed_form) 0.09088852531459209 y[1] (numeric) 0.0908885253145898 absolute error 2.2898349882893854e-15 relative error 2.519388427046856e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.316999999999965 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.316999999999967 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.682000000000035 y[1] (closed_form) 0.09083374844356563 y[1] (numeric) 0.09083374844356333 absolute error 2.3037127760972e-15 relative error 2.5361859612437776e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.317999999999965 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3179999999999805 Order of pole (three term test) 7.991256410784313e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.681000000000035 y[1] (closed_form) 0.09077902107716582 y[1] (numeric) 0.0907790210771635 absolute error 2.3175905639050143e-15 relative error 2.5530023747832325e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.318999999999965 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3189999999999675 Order of pole (three term test) 4.031913365679304e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6800000000000352 y[1] (closed_form) 0.09072434315575748 y[1] (numeric) 0.09072434315575516 absolute error 2.3175905639050143e-15 relative error 2.5545410231586086e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3199999999999648 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3199999999999616 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6790000000000354 y[1] (closed_form) 0.09066971461979526 y[1] (numeric) 0.09066971461979292 absolute error 2.3314683517128287e-15 relative error 2.571386004124266e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3209999999999646 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3209999999999607 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6780000000000355 y[1] (closed_form) 0.09061513540982338 y[1] (numeric) 0.09061513540982105 absolute error 2.3314683517128287e-15 relative error 2.5729347985503086e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3219999999999645 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3219999999999796 Order of pole (three term test) 8.285380515017684e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6770000000000356 y[1] (closed_form) 0.09056060546647554 y[1] (numeric) 0.09056060546647321 absolute error 2.3314683517128287e-15 relative error 2.5744840592700217e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3229999999999644 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.322999999999978 Order of pole (three term test) 4.1802654231841144e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6760000000000357 y[1] (closed_form) 0.0905061247304747 y[1] (numeric) 0.09050612473047237 absolute error 2.3314683517128287e-15 relative error 2.576033786283405e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3239999999999643 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3239999999999816 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.675000000000036 y[1] (closed_form) 0.09045169314263296 y[1] (numeric) 0.09045169314263062 absolute error 2.345346139520643e-15 relative error 2.5929267413737354e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.324999999999964 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.32499999999998 Order of pole (three term test) 4.256406607493646e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.674000000000036 y[1] (closed_form) 0.09039731064385138 y[1] (numeric) 0.09039731064384902 absolute error 2.3592239273284576e-15 relative error 2.6098386229910777e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.325999999999964 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.32599999999997 Order of pole (three term test) 4.2949782218379687e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.673000000000036 y[1] (closed_form) 0.0903429771751198 y[1] (numeric) 0.09034297717511745 absolute error 2.345346139520643e-15 relative error 2.596046989877753e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.326999999999964 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3269999999999778 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.672000000000036 y[1] (closed_form) 0.09028869267751675 y[1] (numeric) 0.0902886926775144 absolute error 2.3592239273284576e-15 relative error 2.612978278193566e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.327999999999964 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3279999999999794 Order of pole (three term test) 4.373137655698862e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6710000000000362 y[1] (closed_form) 0.09023445709220922 y[1] (numeric) 0.09023445709220686 absolute error 2.3592239273284576e-15 relative error 2.6145488135619886e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3289999999999638 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.328999999999985 Order of pole (three term test) 8.825462417789681e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6700000000000363 y[1] (closed_form) 0.09018027036045251 y[1] (numeric) 0.09018027036045015 absolute error 2.3592239273284576e-15 relative error 2.6161198207751963e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3299999999999637 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3299999999999677 Order of pole (three term test) 4.452671181012389e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6690000000000365 y[1] (closed_form) 0.09012613242359012 y[1] (numeric) 0.09012613242358775 absolute error 2.373101715136272e-15 relative error 2.6330894839498553e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3309999999999635 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3309999999999604 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6680000000000366 y[1] (closed_form) 0.09007204322305351 y[1] (numeric) 0.09007204322305114 absolute error 2.373101715136272e-15 relative error 2.63467068162265e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3319999999999634 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3319999999999816 Order of pole (three term test) 4.533602108038468e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6670000000000367 y[1] (closed_form) 0.09001800270036203 y[1] (numeric) 0.09001800270035966 absolute error 2.373101715136272e-15 relative error 2.6362523539157885e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3329999999999633 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3329999999999704 Order of pole (three term test) 4.5745989856894425e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.666000000000037 y[1] (closed_form) 0.0899640107971227 y[1] (numeric) 0.08996401079712033 absolute error 2.373101715136272e-15 relative error 2.63783450082927e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.333999999999963 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.333999999999976 Order of pole (three term test) 4.6159541281217404e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.665000000000037 y[1] (closed_form) 0.08991006745503011 y[1] (numeric) 0.0899100674550277 absolute error 2.400857290751901e-15 relative error 2.670287498063247e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.334999999999963 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3349999999999738 Order of pole (three term test) 2.3288352786408047e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.664000000000037 y[1] (closed_form) 0.08985617261586613 y[1] (numeric) 0.08985617261586373 absolute error 2.400857290751901e-15 relative error 2.671889109961908e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.335999999999963 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3359999999999657 Order of pole (three term test) 2.3498756598437668e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.663000000000037 y[1] (closed_form) 0.08980232622149999 y[1] (numeric) 0.08980232622149756 absolute error 2.42861286636753e-15 relative error 2.70439861477228e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.336999999999963 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.336999999999971 Order of pole (three term test) 7.113299229933899e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6620000000000372 y[1] (closed_form) 0.08974852821388782 y[1] (numeric) 0.0897485282138854 absolute error 2.4147350785597155e-15 relative error 2.690556744067092e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3379999999999628 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.337999999999978 Order of pole (three term test) 4.785018154328202e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6610000000000373 y[1] (closed_form) 0.0896947785350728 y[1] (numeric) 0.08969477853507038 absolute error 2.4147350785597155e-15 relative error 2.692169062679046e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3389999999999627 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.338999999999972 Order of pole (three term test) 4.828210444199345e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6600000000000374 y[1] (closed_form) 0.08964107712718478 y[1] (numeric) 0.08964107712718235 absolute error 2.42861286636753e-15 relative error 2.7092633692049007e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3399999999999626 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3399999999999666 Order of pole (three term test) 2.435889751490686e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6590000000000376 y[1] (closed_form) 0.0895874239324402 y[1] (numeric) 0.08958742393243777 absolute error 2.42861286636753e-15 relative error 2.710885925460921e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3409999999999624 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3409999999999718 Order of pole (three term test) 4.915728502968172e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6580000000000377 y[1] (closed_form) 0.08953381889314198 y[1] (numeric) 0.08953381889313954 absolute error 2.4424906541753444e-15 relative error 2.7280090186820256e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3419999999999623 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.34199999999997 Order of pole (three term test) 2.4800303211008956e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6570000000000378 y[1] (closed_form) 0.08948026195167928 y[1] (numeric) 0.08948026195167684 absolute error 2.4424906541753444e-15 relative error 2.7296418236843417e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3429999999999622 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3429999999999622 Order of pole (three term test) 2.5023895723368552e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.656000000000038 y[1] (closed_form) 0.08942675305052743 y[1] (numeric) 0.08942675305052498 absolute error 2.4424906541753444e-15 relative error 2.7312751171847888e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.343999999999962 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3439999999999777 Order of pole (three term test) 1.0099774521055044e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.655000000000038 y[1] (closed_form) 0.08937329213224769 y[1] (numeric) 0.08937329213224525 absolute error 2.4424906541753444e-15 relative error 2.732908899183366e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.344999999999962 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.344999999999965 Order of pole (three term test) 5.095388266263042e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.654000000000038 y[1] (closed_form) 0.08931987913948718 y[1] (numeric) 0.08931987913948472 absolute error 2.456368441983159e-15 relative error 2.7500803467805296e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.345999999999962 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.345999999999976 Order of pole (three term test) 2.5706427324711344e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.653000000000038 y[1] (closed_form) 0.08926651401497863 y[1] (numeric) 0.08926651401497618 absolute error 2.456368441983159e-15 relative error 2.7517243941787488e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.346999999999962 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3469999999999644 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6520000000000383 y[1] (closed_form) 0.08921319670154036 y[1] (numeric) 0.08921319670153789 absolute error 2.4702462297909733e-15 relative error 2.7689246895334286e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3479999999999617 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.34799999999998 Order of pole (three term test) 5.2342817874352146e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6510000000000384 y[1] (closed_form) 0.08915992714207599 y[1] (numeric) 0.0891599271420735 absolute error 2.4841240175987878e-15 relative error 2.786144064070786e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3489999999999616 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3489999999999807 Order of pole (three term test) 7.92208147808491e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6500000000000385 y[1] (closed_form) 0.08910670527957433 y[1] (numeric) 0.08910670527957186 absolute error 2.4702462297909733e-15 relative error 2.7722338313828564e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3499999999999615 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.349999999999973 Order of pole (three term test) 2.6644515958297267e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6490000000000387 y[1] (closed_form) 0.08905353105710932 y[1] (numeric) 0.08905353105710684 absolute error 2.4841240175987878e-15 relative error 2.7894727902543683e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3509999999999613 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.350999999999967 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6480000000000388 y[1] (closed_form) 0.08900040441783974 y[1] (numeric) 0.08900040441783724 absolute error 2.4980018054066022e-15 relative error 2.8067308477374613e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3519999999999612 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.351999999999972 Order of pole (three term test) 5.4251770796909394e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.647000000000039 y[1] (closed_form) 0.08894732530500911 y[1] (numeric) 0.08894732530500661 absolute error 2.4980018054066022e-15 relative error 2.8084057579479864e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.352999999999961 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3529999999999696 Order of pole (three term test) 2.7369711949252867e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.646000000000039 y[1] (closed_form) 0.08889429366194561 y[1] (numeric) 0.0888942936619431 absolute error 2.5118795932144167e-15 relative error 2.8256927298019767e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.353999999999961 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3539999999999726 Order of pole (three term test) 5.5231312988888906e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.645000000000039 y[1] (closed_form) 0.0888413094320618 y[1] (numeric) 0.08884130943205928 absolute error 2.5118795932144167e-15 relative error 2.827377949821064e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.354999999999961 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3549999999999525 Order of pole (three term test) 2.7863736792218692e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.644000000000039 y[1] (closed_form) 0.08878837255885456 y[1] (numeric) 0.08878837255885205 absolute error 2.5118795932144167e-15 relative error 2.8290636722160705e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.355999999999961 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3559999999999603 Order of pole (three term test) 2.8113970744297337e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6430000000000393 y[1] (closed_form) 0.08873548298590493 y[1] (numeric) 0.08873548298590242 absolute error 2.5118795932144167e-15 relative error 2.830749896986995e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3569999999999607 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3569999999999656 Order of pole (three term test) 2.8366376397050092e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6420000000000394 y[1] (closed_form) 0.08868264065687795 y[1] (numeric) 0.08868264065687542 absolute error 2.525757381022231e-15 relative error 2.8480854452616498e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3579999999999606 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.357999999999952 Order of pole (three term test) 2.8620971942620716e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6410000000000395 y[1] (closed_form) 0.08862984551552246 y[1] (numeric) 0.08862984551551993 absolute error 2.525757381022231e-15 relative error 2.849781996494482e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3589999999999605 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3589999999999773 Order of pole (three term test) 5.77555514401219e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6400000000000396 y[1] (closed_form) 0.08857709750567103 y[1] (numeric) 0.08857709750566849 absolute error 2.5396351688300456e-15 relative error 2.8671465202023007e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3599999999999604 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.359999999999969 Order of pole (three term test) 5.827361243294192e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6390000000000398 y[1] (closed_form) 0.08852439657123976 y[1] (numeric) 0.08852439657123722 absolute error 2.5396351688300456e-15 relative error 2.868853408999271e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3609999999999602 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3609999999999656 Order of pole (three term test) 2.9398082068151774e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.63800000000004 y[1] (closed_form) 0.08847174265622816 y[1] (numeric) 0.08847174265622561 absolute error 2.55351295663786e-15 relative error 2.8862469303447136e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.36199999999996 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.361999999999985 Order of pole (three term test) 1.1864648824705435e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.63700000000004 y[1] (closed_form) 0.08841913570471897 y[1] (numeric) 0.08841913570471642 absolute error 2.55351295663786e-15 relative error 2.8879641678080524e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.36299999999996 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3629999999999716 Order of pole (three term test) 2.992744513549293e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.63600000000004 y[1] (closed_form) 0.08836657566087806 y[1] (numeric) 0.0883665756608755 absolute error 2.5673907444456745e-15 relative error 2.90538670899558e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.36399999999996 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3639999999999692 Order of pole (three term test) 6.039114076046168e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.63500000000004 y[1] (closed_form) 0.0883140624689542 y[1] (numeric) 0.08831406246895164 absolute error 2.55351295663786e-15 relative error 2.891400174842504e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.36499999999996 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3649999999999745 Order of pole (three term test) 6.093203408151365e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6340000000000403 y[1] (closed_form) 0.088261596073279 y[1] (numeric) 0.08826159607327645 absolute error 2.55351295663786e-15 relative error 2.893118944413617e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3659999999999597 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3659999999999677 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6330000000000404 y[1] (closed_form) 0.08820917641826674 y[1] (numeric) 0.08820917641826419 absolute error 2.55351295663786e-15 relative error 2.8948382246873213e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3669999999999596 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3669999999999636 Order of pole (three term test) 3.101395236490954e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6320000000000405 y[1] (closed_form) 0.08815680344841417 y[1] (numeric) 0.0881568034484116 absolute error 2.5673907444456745e-15 relative error 2.9123001787922226e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3679999999999595 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3679999999999666 Order of pole (three term test) 3.129148029833241e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6310000000000406 y[1] (closed_form) 0.08810447710830042 y[1] (numeric) 0.08810447710829784 absolute error 2.581268532253489e-15 relative error 2.929781342531008e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3689999999999594 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3689999999999842 Order of pole (three term test) 9.471422456870576e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6300000000000407 y[1] (closed_form) 0.08805219734258682 y[1] (numeric) 0.08805219734258424 absolute error 2.581268532253489e-15 relative error 2.9315208593948937e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3699999999999593 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3699999999999677 Order of pole (three term test) 3.18537560709335e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629000000000041 y[1] (closed_form) 0.08799996409601678 y[1] (numeric) 0.0879999640960142 absolute error 2.581268532253489e-15 relative error 2.933260892512486e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.370999999999959 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3709999999999796 Order of pole (three term test) 6.427708827186535e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.628000000000041 y[1] (closed_form) 0.08794777731341565 y[1] (numeric) 0.08794777731341306 absolute error 2.581268532253489e-15 relative error 2.935001441883784e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.371999999999959 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3719999999999666 Order of pole (three term test) 3.242579274050793e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.627000000000041 y[1] (closed_form) 0.08789563693969052 y[1] (numeric) 0.08789563693968794 absolute error 2.581268532253489e-15 relative error 2.936742507508789e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.372999999999959 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3729999999999594 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.626000000000041 y[1] (closed_form) 0.08784354291983015 y[1] (numeric) 0.08784354291982756 absolute error 2.5951463200613034e-15 relative error 2.954282390943347e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.373999999999959 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3739999999999664 Order of pole (three term test) 6.601550762380225e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6250000000000413 y[1] (closed_form) 0.08779149519890476 y[1] (numeric) 0.08779149519890216 absolute error 2.609024107869118e-15 relative error 2.971841522869594e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3749999999999587 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.37499999999996 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6240000000000414 y[1] (closed_form) 0.0877394937220659 y[1] (numeric) 0.08773949372206329 absolute error 2.609024107869118e-15 relative error 2.9736028750448166e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3759999999999586 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3759999999999657 Order of pole (three term test) 6.719961085887155e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6230000000000415 y[1] (closed_form) 0.08768753843454634 y[1] (numeric) 0.08768753843454373 absolute error 2.609024107869118e-15 relative error 2.975364749024861e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3769999999999585 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3769999999999727 Order of pole (three term test) 3.3899667844918045e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6220000000000416 y[1] (closed_form) 0.08763562928165992 y[1] (numeric) 0.0876356292816573 absolute error 2.6229018956769323e-15 relative error 2.9929629274948836e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3779999999999584 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3779999999999433 Order of pole (three term test) 6.840423283583638e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6210000000000417 y[1] (closed_form) 0.08758376620880133 y[1] (numeric) 0.08758376620879872 absolute error 2.609024107869118e-15 relative error 2.978890062399413e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3789999999999583 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3789999999999623 Order of pole (three term test) 3.450717267719163e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.620000000000042 y[1] (closed_form) 0.0875319491614461 y[1] (numeric) 0.08753194916144347 absolute error 2.6367796834847468e-15 relative error 3.012362581600239e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.379999999999958 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3799999999999812 Order of pole (three term test) 6.96297166485179e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619000000000042 y[1] (closed_form) 0.08748017808515031 y[1] (numeric) 0.08748017808514767 absolute error 2.6367796834847468e-15 relative error 3.014145308344243e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.380999999999958 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3809999999999687 Order of pole (three term test) 3.512519523474204e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.618000000000042 y[1] (closed_form) 0.08742845292555056 y[1] (numeric) 0.08742845292554792 absolute error 2.6367796834847468e-15 relative error 3.0159285624441835e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.381999999999958 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.381999999999967 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.617000000000042 y[1] (closed_form) 0.08737677362836377 y[1] (numeric) 0.08737677362836113 absolute error 2.6367796834847468e-15 relative error 3.0177123439000614e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.382999999999958 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3829999999999663 Order of pole (three term test) 3.5753911227029526e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6160000000000423 y[1] (closed_form) 0.08732514013938708 y[1] (numeric) 0.08732514013938443 absolute error 2.6506574712925612e-15 relative error 3.035388740357727e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3839999999999577 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.383999999999987 Order of pole (three term test) 1.0821700482820789e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6150000000000424 y[1] (closed_form) 0.08727355240449763 y[1] (numeric) 0.087273552404495 absolute error 2.6367796834847468e-15 relative error 3.021281488879626e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3849999999999576 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3849999999999696 Order of pole (three term test) 3.639349919240146e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6140000000000425 y[1] (closed_form) 0.08722201036965256 y[1] (numeric) 0.0872220103696499 absolute error 2.6645352591003757e-15 relative error 3.0548886087444006e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3859999999999575 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3859999999999633 Order of pole (three term test) 3.6717426742524594e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6130000000000426 y[1] (closed_form) 0.08717051398088867 y[1] (numeric) 0.087170513980886 absolute error 2.6645352591003757e-15 relative error 3.0566932984753885e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3869999999999574 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.386999999999979 Order of pole (three term test) 1.1113242162577048e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6120000000000427 y[1] (closed_form) 0.08711906318432243 y[1] (numeric) 0.08711906318431978 absolute error 2.6506574712925612e-15 relative error 3.0425688413159637e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3879999999999573 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3879999999999604 Order of pole (three term test) 3.7373663723141155e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.611000000000043 y[1] (closed_form) 0.08706765792614984 y[1] (numeric) 0.08706765792614718 absolute error 2.6645352591003757e-15 relative error 3.060304276658521e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.388999999999957 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.388999999999975 Order of pole (three term test) 7.541203920772686e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.610000000000043 y[1] (closed_form) 0.0870162981526462 y[1] (numeric) 0.08701629815264353 absolute error 2.6645352591003757e-15 relative error 3.0621105651106653e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.389999999999957 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3899999999999584 Order of pole (three term test) 3.8041231688342854e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.609000000000043 y[1] (closed_form) 0.086964983810166 y[1] (numeric) 0.08696498381016332 absolute error 2.67841304690819e-15 relative error 3.0798752895243914e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.390999999999957 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3909999999999787 Order of pole (three term test) 1.1513797100651488e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.608000000000043 y[1] (closed_form) 0.08691371484514283 y[1] (numeric) 0.08691371484514016 absolute error 2.67841304690819e-15 relative error 3.0816920570941093e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.391999999999957 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.391999999999976 Order of pole (three term test) 7.744063885412028e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6070000000000433 y[1] (closed_form) 0.08686249120408919 y[1] (numeric) 0.08686249120408651 absolute error 2.67841304690819e-15 relative error 3.0835093603464366e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3929999999999567 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.392999999999965 Order of pole (three term test) 3.906424303563073e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6060000000000434 y[1] (closed_form) 0.08681131283359639 y[1] (numeric) 0.0868113128335937 absolute error 2.6922908347160046e-15 relative error 3.1013133505729855e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3939999999999566 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3939999999999655 Order of pole (three term test) 3.941111875955265e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6050000000000435 y[1] (closed_form) 0.08676017968033434 y[1] (numeric) 0.08676017968033164 absolute error 2.6922908347160046e-15 relative error 3.1031411468206743e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3949999999999565 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.394999999999954 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6040000000000436 y[1] (closed_form) 0.08670909169105148 y[1] (numeric) 0.08670909169104879 absolute error 2.6922908347160046e-15 relative error 3.10496948152653e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3959999999999564 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3959999999999635 Order of pole (three term test) 4.011382458425325e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6030000000000437 y[1] (closed_form) 0.08665804881257465 y[1] (numeric) 0.08665804881257194 absolute error 2.706168622523819e-15 relative error 3.1228127791992665e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.3969999999999563 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.396999999999958 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.602000000000044 y[1] (closed_form) 0.08660705099180886 y[1] (numeric) 0.08660705099180614 absolute error 2.7200464103316335e-15 relative error 3.1406754752438003e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.397999999999956 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.397999999999958 Order of pole (three term test) 8.165726985061005e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.601000000000044 y[1] (closed_form) 0.08655609817573726 y[1] (numeric) 0.08655609817573454 absolute error 2.7200464103316335e-15 relative error 3.1425242907889027e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.398999999999956 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3989999999999667 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.600000000000044 y[1] (closed_form) 0.08650519031142091 y[1] (numeric) 0.0865051903114182 absolute error 2.706168622523819e-15 relative error 3.1283309276374545e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.399999999999956 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3999999999999653 Order of pole (three term test) 4.1555750980805906e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.599000000000044 y[1] (closed_form) 0.08645432734599877 y[1] (numeric) 0.08645432734599605 absolute error 2.7200464103316335e-15 relative error 3.1462235539069533e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.400999999999956 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.400999999999959 Order of pole (three term test) 4.1923987405791976e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5980000000000443 y[1] (closed_form) 0.08640350922668738 y[1] (numeric) 0.08640350922668466 absolute error 2.7200464103316335e-15 relative error 3.148074001479902e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.4019999999999557 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4019999999999717 Order of pole (three term test) 4.22953771717671e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5970000000000444 y[1] (closed_form) 0.08635273590078088 y[1] (numeric) 0.08635273590077816 absolute error 2.7200464103316335e-15 relative error 3.1499249930621325e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.4029999999999556 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.402999999999955 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5960000000000445 y[1] (closed_form) 0.08630200731565081 y[1] (numeric) 0.08630200731564808 absolute error 2.733924198139448e-15 relative error 3.1678570211467755e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4039999999999555 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4039999999999706 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5950000000000446 y[1] (closed_form) 0.08625132341874596 y[1] (numeric) 0.08625132341874323 absolute error 2.733924198139448e-15 relative error 3.1697185501332883e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4049999999999554 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4049999999999523 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5940000000000447 y[1] (closed_form) 0.08620068415759229 y[1] (numeric) 0.08620068415758954 absolute error 2.7478019859472624e-15 relative error 3.187680019944766e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4059999999999553 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.405999999999972 Order of pole (three term test) 4.381299405753213e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.593000000000045 y[1] (closed_form) 0.0861500894797927 y[1] (numeric) 0.08615008947978996 absolute error 2.7478019859472624e-15 relative error 3.1895520974377918e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.406999999999955 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.406999999999954 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.592000000000045 y[1] (closed_form) 0.08609953933302701 y[1] (numeric) 0.08609953933302426 absolute error 2.7478019859472624e-15 relative error 3.191424724491215e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.407999999999955 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.407999999999979 Order of pole (three term test) 8.918282031956896e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.591000000000045 y[1] (closed_form) 0.08604903366505176 y[1] (numeric) 0.086049033665049 absolute error 2.761679773755077e-15 relative error 3.209425668282333e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.408999999999955 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.408999999999944 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.590000000000045 y[1] (closed_form) 0.08599857242370006 y[1] (numeric) 0.08599857242369727 absolute error 2.789435349370706e-15 relative error 3.2435833186016644e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.409999999999955 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4099999999999766 Order of pole (three term test) 9.076637463097293e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5890000000000453 y[1] (closed_form) 0.08594815555688144 y[1] (numeric) 0.08594815555687865 absolute error 2.789435349370706e-15 relative error 3.24548599245347e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4109999999999547 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.410999999999966 Order of pole (three term test) 4.578415530595079e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5880000000000454 y[1] (closed_form) 0.08589778301258184 y[1] (numeric) 0.08589778301257905 absolute error 2.789435349370706e-15 relative error 3.2473892241923457e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4119999999999546 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.411999999999965 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5870000000000455 y[1] (closed_form) 0.08584745473886335 y[1] (numeric) 0.08584745473886055 absolute error 2.8033131371785203e-15 relative error 3.2654586507029587e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4129999999999545 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.412999999999969 Order of pole (three term test) 4.659639007305769e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5860000000000456 y[1] (closed_form) 0.0857971706838641 y[1] (numeric) 0.08579717068386128 absolute error 2.8171909249863347e-15 relative error 3.2835475838321143e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4139999999999544 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4139999999999593 Order of pole (three term test) 4.7007713502458076e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5850000000000457 y[1] (closed_form) 0.08574693079579812 y[1] (numeric) 0.08574693079579532 absolute error 2.8033131371785203e-15 relative error 3.2692868551230893e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4149999999999543 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4149999999999703 Order of pole (three term test) 7.113381865934577e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.584000000000046 y[1] (closed_form) 0.08569673502295531 y[1] (numeric) 0.0856967350229525 absolute error 2.8171909249863347e-15 relative error 3.2873958666356457e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.415999999999954 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4159999999999604 Order of pole (three term test) 2.392045788814494e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.583000000000046 y[1] (closed_form) 0.08564658331370116 y[1] (numeric) 0.08564658331369833 absolute error 2.831068712794149e-15 relative error 3.3055244041956474e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.416999999999954 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.416999999999957 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.582000000000046 y[1] (closed_form) 0.0855964756164767 y[1] (numeric) 0.08559647561647385 absolute error 2.8449465006019636e-15 relative error 3.323672476129768e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.417999999999954 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4179999999999615 Order of pole (three term test) 2.4344192849009302e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.581000000000046 y[1] (closed_form) 0.0855464118797983 y[1] (numeric) 0.08554641187979548 absolute error 2.831068712794149e-15 relative error 3.3093950413397797e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.418999999999954 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4189999999999556 Order of pole (three term test) 2.4558772276937284e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5800000000000463 y[1] (closed_form) 0.08549639205225772 y[1] (numeric) 0.08549639205225487 absolute error 2.8449465006019636e-15 relative error 3.32756322496399e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4199999999999537 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4199999999999755 Order of pole (three term test) 9.910071804253768e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5790000000000464 y[1] (closed_form) 0.08544641608252168 y[1] (numeric) 0.08544641608251884 absolute error 2.8449465006019636e-15 relative error 3.3295094528650524e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4209999999999536 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4209999999999714 Order of pole (three term test) 7.498028873465414e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5780000000000465 y[1] (closed_form) 0.08539648391933201 y[1] (numeric) 0.08539648391932916 absolute error 2.8449465006019636e-15 relative error 3.331456249755414e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4219999999999535 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4219999999999597 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5770000000000466 y[1] (closed_form) 0.08534659551150538 y[1] (numeric) 0.08534659551150252 absolute error 2.858824288409778e-15 relative error 3.3496641210771986e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4229999999999534 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4229999999999765 Order of pole (three term test) 7.630655677196415e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5760000000000467 y[1] (closed_form) 0.08529675080793316 y[1] (numeric) 0.08529675080793028 absolute error 2.8727020762175925e-15 relative error 3.3678915656309063e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4239999999999533 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4239999999999595 Order of pole (three term test) 5.131877771522882e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.575000000000047 y[1] (closed_form) 0.0852469497575813 y[1] (numeric) 0.08524694975757845 absolute error 2.858824288409778e-15 relative error 3.3535795668226044e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.424999999999953 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.424999999999951 Order of pole (three term test) 2.5885162937845776e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.574000000000047 y[1] (closed_form) 0.08519719230949033 y[1] (numeric) 0.08519719230948745 absolute error 2.8727020762175925e-15 relative error 3.3718271674753243e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.425999999999953 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4259999999999513 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.573000000000047 y[1] (closed_form) 0.08514747841277501 y[1] (numeric) 0.08514747841277212 absolute error 2.886579864025407e-15 relative error 3.390094360788871e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.426999999999953 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.426999999999961 Order of pole (three term test) 2.6342486193190463e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.572000000000047 y[1] (closed_form) 0.08509780801662432 y[1] (numeric) 0.08509780801662144 absolute error 2.886579864025407e-15 relative error 3.3920731112856608e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.427999999999953 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4279999999999564 Order of pole (three term test) 2.6574067006089656e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5710000000000472 y[1] (closed_form) 0.08504818107030138 y[1] (numeric) 0.08504818107029849 absolute error 2.886579864025407e-15 relative error 3.3940524390984226e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4289999999999528 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4289999999999656 Order of pole (three term test) 5.36152304861162e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5700000000000474 y[1] (closed_form) 0.0849985975231432 y[1] (numeric) 0.08499859752314032 absolute error 2.886579864025407e-15 relative error 3.396032344227158e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4299999999999526 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.429999999999965 Order of pole (three term test) 2.7043147037510717e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5690000000000475 y[1] (closed_form) 0.08494905732456066 y[1] (numeric) 0.08494905732455776 absolute error 2.9004576518332215e-15 relative error 3.4143494268000956e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4309999999999525 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.430999999999955 Order of pole (three term test) 2.7280678650398647e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5680000000000476 y[1] (closed_form) 0.08489956042403832 y[1] (numeric) 0.08489956042403539 absolute error 2.9282132274488504e-15 relative error 3.4490322597945527e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4319999999999524 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4319999999999604 Order of pole (three term test) 2.7520226471180007e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5670000000000477 y[1] (closed_form) 0.0848501067711342 y[1] (numeric) 0.08485010677113129 absolute error 2.914335439641036e-15 relative error 3.434686826619864e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4329999999999523 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4329999999999585 Order of pole (three term test) 2.7761807018796927e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.566000000000048 y[1] (closed_form) 0.08480069631547994 y[1] (numeric) 0.08480069631547701 absolute error 2.9282132274488504e-15 relative error 3.4530532821984855e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.433999999999952 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4339999999999673 Order of pole (three term test) 5.601087388532195e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.565000000000048 y[1] (closed_form) 0.08475132900678035 y[1] (numeric) 0.08475132900677741 absolute error 2.942091015256665e-15 relative error 3.471439385949085e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.434999999999952 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.43499999999997 Order of pole (three term test) 2.825113302364471e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.564000000000048 y[1] (closed_form) 0.08470200479481346 y[1] (numeric) 0.0847020047948105 absolute error 2.9559688030644793e-15 relative error 3.489845146198336e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.435999999999952 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.43599999999997 Order of pole (three term test) 5.699782435016248e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.563000000000048 y[1] (closed_form) 0.08465272362943033 y[1] (numeric) 0.08465272362942738 absolute error 2.942091015256665e-15 relative error 3.4754829958404538e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.436999999999952 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.436999999999957 Order of pole (three term test) 5.749758288754116e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5620000000000482 y[1] (closed_form) 0.08460348546055499 y[1] (numeric) 0.08460348546055203 absolute error 2.9559688030644793e-15 relative error 3.4939090121087882e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4379999999999518 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.43799999999996 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5610000000000483 y[1] (closed_form) 0.0845542902381842 y[1] (numeric) 0.08455429023818124 absolute error 2.9559688030644793e-15 relative error 3.495941831854656e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4389999999999517 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4389999999999614 Order of pole (three term test) 5.850983838706924e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5600000000000485 y[1] (closed_form) 0.08450513791238745 y[1] (numeric) 0.08450513791238448 absolute error 2.9698465908722937e-15 relative error 3.5143976617745387e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4399999999999515 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4399999999999733 Order of pole (three term test) 5.902240488941386e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5590000000000486 y[1] (closed_form) 0.08445602843330674 y[1] (numeric) 0.08445602843330376 absolute error 2.9837243786801082e-15 relative error 3.532873181499763e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4409999999999514 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4409999999999545 Order of pole (three term test) 2.976965535539211e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5580000000000487 y[1] (closed_form) 0.08440696175115647 y[1] (numeric) 0.08440696175115349 absolute error 2.9837243786801082e-15 relative error 3.5349268789896088e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4419999999999513 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4419999999999566 Order of pole (three term test) 3.0030295655083396e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.557000000000049 y[1] (closed_form) 0.0843579378162234 y[1] (numeric) 0.08435793781622039 absolute error 3.011479954295737e-15 relative error 3.5698833236729273e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.442999999999951 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4429999999999388 Order of pole (three term test) 3.02931412129358e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.556000000000049 y[1] (closed_form) 0.08430895657886633 y[1] (numeric) 0.08430895657886334 absolute error 2.9976021664879227e-15 relative error 3.5554966970606885e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.443999999999951 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4439999999999595 Order of pole (three term test) 3.0558210038826924e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.555000000000049 y[1] (closed_form) 0.08426001798951624 y[1] (numeric) 0.08426001798951323 absolute error 3.011479954295737e-15 relative error 3.574031938457965e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.444999999999951 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.444999999999962 Order of pole (three term test) 6.165104056884383e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.554000000000049 y[1] (closed_form) 0.08421112199867592 y[1] (numeric) 0.0842111219986729 absolute error 3.0253577421035516e-15 relative error 3.5925869057428306e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.445999999999951 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4459999999999553 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5530000000000492 y[1] (closed_form) 0.08416226855691997 y[1] (numeric) 0.08416226855691694 absolute error 3.0253577421035516e-15 relative error 3.5946722848344624e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4469999999999508 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4469999999999583 Order of pole (three term test) 3.136693835678505e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5520000000000493 y[1] (closed_form) 0.08411345761489467 y[1] (numeric) 0.08411345761489164 absolute error 3.0253577421035516e-15 relative error 3.596758268997643e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4479999999999507 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.447999999999963 Order of pole (three term test) 6.328216641107651e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5510000000000495 y[1] (closed_form) 0.08406468912331783 y[1] (numeric) 0.0840646891233148 absolute error 3.0253577421035516e-15 relative error 3.5988448582323717e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4489999999999505 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.448999999999959 Order of pole (three term test) 6.383508704030806e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5500000000000496 y[1] (closed_form) 0.08401596303297869 y[1] (numeric) 0.08401596303297565 absolute error 3.039235529911366e-15 relative error 3.6174500894768992e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4499999999999504 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4499999999999567 Order of pole (three term test) 3.2196338177517616e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5490000000000497 y[1] (closed_form) 0.08396727929473773 y[1] (numeric) 0.08396727929473469 absolute error 3.039235529911366e-15 relative error 3.6195474659160916e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4509999999999503 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4509999999999468 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54800000000005 y[1] (closed_form) 0.08391863785952665 y[1] (numeric) 0.08391863785952361 absolute error 3.039235529911366e-15 relative error 3.621645450202389e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.45199999999995 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.451999999999964 Order of pole (three term test) 6.552201354185194e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54700000000005 y[1] (closed_form) 0.08387003867834815 y[1] (numeric) 0.08387003867834511 absolute error 3.039235529911366e-15 relative error 3.6237440423357923e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.45299999999995 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4529999999999577 Order of pole (three term test) 3.304691920701305e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54600000000005 y[1] (closed_form) 0.0838214817022759 y[1] (numeric) 0.08382148170227284 absolute error 3.0531133177191805e-15 relative error 3.642399604153362e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.45399999999995 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.453999999999958 Order of pole (three term test) 3.333524298820238e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54500000000005 y[1] (closed_form) 0.0837729668824543 y[1] (numeric) 0.08377296688245123 absolute error 3.066991105526995e-15 relative error 3.661074950145231e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.45499999999995 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.454999999999953 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54400000000005 y[1] (closed_form) 0.08372449417009846 y[1] (numeric) 0.08372449417009538 absolute error 3.0808688933348094e-15 relative error 3.679770088638072e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.45599999999995 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.455999999999969 Order of pole (three term test) 6.78384065195976e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5430000000000503 y[1] (closed_form) 0.08367606351649402 y[1] (numeric) 0.08367606351649094 absolute error 3.0808688933348094e-15 relative error 3.6818998933040346e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4569999999999497 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.456999999999956 Order of pole (three term test) 3.4214879473448e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5420000000000504 y[1] (closed_form) 0.08362767487299709 y[1] (numeric) 0.083627674872994 absolute error 3.094746681142624e-15 relative error 3.700625045288567e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4579999999999496 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4579999999999638 Order of pole (three term test) 3.4513046481020164e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5410000000000506 y[1] (closed_form) 0.08357932819103404 y[1] (numeric) 0.08357932819103094 absolute error 3.1086244689504383e-15 relative error 3.71937001197853e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4589999999999494 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4589999999999623 Order of pole (three term test) 6.962744907138761e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5400000000000507 y[1] (closed_form) 0.08353102342210142 y[1] (numeric) 0.08353102342209831 absolute error 3.1086244689504383e-15 relative error 3.721520869248597e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4599999999999493 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.459999999999958 Order of pole (three term test) 3.511693404940329e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5390000000000508 y[1] (closed_form) 0.08348276051776586 y[1] (numeric) 0.08348276051776277 absolute error 3.094746681142624e-15 relative error 3.707048810974614e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4609999999999492 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4609999999999403 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.538000000000051 y[1] (closed_form) 0.08343453942966397 y[1] (numeric) 0.08343453942966085 absolute error 3.1225022567582528e-15 relative error 3.742457593824856e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.461999999999949 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4619999999999487 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.537000000000051 y[1] (closed_form) 0.08338636010950208 y[1] (numeric) 0.08338636010949897 absolute error 3.1086244689504383e-15 relative error 3.7279771714081605e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.462999999999949 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4629999999999606 Order of pole (three term test) 3.604195787063602e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.536000000000051 y[1] (closed_form) 0.08333822250905633 y[1] (numeric) 0.0833382225090532 absolute error 3.1225022567582528e-15 relative error 3.7467828839509165e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.463999999999949 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4639999999999516 Order of pole (three term test) 3.635550055704854e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.535000000000051 y[1] (closed_form) 0.08329012658017233 y[1] (numeric) 0.08329012658016921 absolute error 3.1225022567582528e-15 relative error 3.748946465764625e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.464999999999949 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.464999999999957 Order of pole (three term test) 3.6671679185732255e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5340000000000513 y[1] (closed_form) 0.08324207227476524 y[1] (numeric) 0.0832420722747621 absolute error 3.1363800445660672e-15 relative error 3.7677822750658e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4659999999999487 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4659999999999536 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5330000000000514 y[1] (closed_form) 0.08319405954481948 y[1] (numeric) 0.08319405954481635 absolute error 3.1363800445660672e-15 relative error 3.7699567273506974e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4669999999999486 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4669999999999552 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5320000000000515 y[1] (closed_form) 0.08314608834238875 y[1] (numeric) 0.08314608834238561 absolute error 3.1363800445660672e-15 relative error 3.772131806911604e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4679999999999485 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4679999999999556 Order of pole (three term test) 3.7636245462596326e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5310000000000517 y[1] (closed_form) 0.0830981586195958 y[1] (numeric) 0.08309815861959266 absolute error 3.1363800445660672e-15 relative error 3.774307513748519e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4689999999999483 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.468999999999958 Order of pole (three term test) 3.7963183439229565e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5300000000000518 y[1] (closed_form) 0.0830502703286324 y[1] (numeric) 0.08305027032862924 absolute error 3.1502578323738817e-15 relative error 3.793193953382954e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4699999999999482 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4699999999999656 Order of pole (three term test) 7.658573198737442e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.529000000000052 y[1] (closed_form) 0.08300242342175912 y[1] (numeric) 0.08300242342175597 absolute error 3.1502578323738817e-15 relative error 3.795380547344405e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.470999999999948 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4709999999999632 Order of pole (three term test) 3.862531536522014e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.528000000000052 y[1] (closed_form) 0.08295461785130534 y[1] (numeric) 0.08295461785130218 absolute error 3.164135620181696e-15 relative error 3.814297144799524e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.471999999999948 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4719999999999684 Order of pole (three term test) 3.896055396679771e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.527000000000052 y[1] (closed_form) 0.082906853569669 y[1] (numeric) 0.08290685356966583 absolute error 3.164135620181696e-15 relative error 3.81649463698774e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.472999999999948 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4729999999999577 Order of pole (three term test) 3.929860438641304e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.526000000000052 y[1] (closed_form) 0.08285913052931655 y[1] (numeric) 0.08285913052931339 absolute error 3.164135620181696e-15 relative error 3.818692762003081e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.473999999999948 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.473999999999959 Order of pole (three term test) 3.963948938840014e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5250000000000523 y[1] (closed_form) 0.08281144868278288 y[1] (numeric) 0.08281144868277972 absolute error 3.164135620181696e-15 relative error 3.820891519845545e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4749999999999477 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4749999999999552 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5240000000000524 y[1] (closed_form) 0.08276380798267109 y[1] (numeric) 0.08276380798266791 absolute error 3.1780134079895106e-15 relative error 3.839858853105111e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4759999999999476 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4759999999999613 Order of pole (three term test) 4.0329855086485495e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5230000000000525 y[1] (closed_form) 0.08271620838165245 y[1] (numeric) 0.08271620838164925 absolute error 3.191891195797325e-15 relative error 3.858846117643527e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4769999999999475 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4769999999999515 Order of pole (three term test) 4.067938220492715e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5220000000000526 y[1] (closed_form) 0.08266864983246622 y[1] (numeric) 0.08266864983246303 absolute error 3.191891195797325e-15 relative error 3.8610660779702044e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4779999999999474 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4779999999999616 Order of pole (three term test) 8.206367350625263e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5210000000000528 y[1] (closed_form) 0.08262113228791965 y[1] (numeric) 0.08262113228791644 absolute error 3.2057689836051395e-15 relative error 3.880083575269359e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4789999999999472 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4789999999999437 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.520000000000053 y[1] (closed_form) 0.0825736557008877 y[1] (numeric) 0.0825736557008845 absolute error 3.2057689836051395e-15 relative error 3.88231446990505e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.479999999999947 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.479999999999958 Order of pole (three term test) 8.349124597531461e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.519000000000053 y[1] (closed_form) 0.08252622002431309 y[1] (numeric) 0.08252622002430988 absolute error 3.2057689836051395e-15 relative error 3.884546005694537e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.480999999999947 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.480999999999965 Order of pole (three term test) 4.210700256089576e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.518000000000053 y[1] (closed_form) 0.08247882521120604 y[1] (numeric) 0.08247882521120284 absolute error 3.2057689836051395e-15 relative error 3.886778182637821e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.481999999999947 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.481999999999965 Order of pole (three term test) 8.494281068096331e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.517000000000053 y[1] (closed_form) 0.08243147121464427 y[1] (numeric) 0.08243147121464105 absolute error 3.219646771412954e-15 relative error 3.905846546192629e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.482999999999947 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4829999999999512 Order of pole (three term test) 4.2838855738610435e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5160000000000533 y[1] (closed_form) 0.08238415798777277 y[1] (numeric) 0.08238415798776955 absolute error 3.219646771412954e-15 relative error 3.908089674098271e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4839999999999467 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4839999999999556 Order of pole (three term test) 4.320937835751022e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5150000000000534 y[1] (closed_form) 0.08233688548380377 y[1] (numeric) 0.08233688548380055 absolute error 3.219646771412954e-15 relative error 3.9103334459332694e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4849999999999466 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4849999999999506 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5140000000000535 y[1] (closed_form) 0.08228965365601663 y[1] (numeric) 0.08228965365601341 absolute error 3.219646771412954e-15 relative error 3.912577861697621e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4859999999999465 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.485999999999955 Order of pole (three term test) 4.395973962524651e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5130000000000536 y[1] (closed_form) 0.08224246245775765 y[1] (numeric) 0.08224246245775443 absolute error 3.219646771412954e-15 relative error 3.914822921391328e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4869999999999464 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.48699999999997 Order of pole (three term test) 8.867925688313178e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5120000000000537 y[1] (closed_form) 0.08219531184244004 y[1] (numeric) 0.08219531184243681 absolute error 3.2335245592207684e-15 relative error 3.933952541501518e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4879999999999463 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.487999999999952 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.511000000000054 y[1] (closed_form) 0.0821482017635437 y[1] (numeric) 0.08214820176354047 absolute error 3.2335245592207684e-15 relative error 3.936208571586487e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.488999999999946 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4889999999999683 Order of pole (three term test) 4.510894932406589e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.510000000000054 y[1] (closed_form) 0.08210113217461522 y[1] (numeric) 0.08210113217461198 absolute error 3.2335245592207684e-15 relative error 3.938465248376367e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.489999999999946 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4899999999999602 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.509000000000054 y[1] (closed_form) 0.08205410302926772 y[1] (numeric) 0.08205410302926447 absolute error 3.247402347028583e-15 relative error 3.9576355442826225e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.490999999999946 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4909999999999615 Order of pole (three term test) 4.589116602788811e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.508000000000054 y[1] (closed_form) 0.08200711428118065 y[1] (numeric) 0.08200711428117742 absolute error 3.2335245592207684e-15 relative error 3.942980542070862e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.491999999999946 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4919999999999676 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5070000000000543 y[1] (closed_form) 0.08196016588409989 y[1] (numeric) 0.08196016588409664 absolute error 3.247402347028583e-15 relative error 3.962171515880952e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4929999999999457 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.492999999999954 Order of pole (three term test) 4.668648714613441e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5060000000000544 y[1] (closed_form) 0.08191325779183738 y[1] (numeric) 0.08191325779183412 absolute error 3.2612801348363973e-15 relative error 3.981382529216635e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4939999999999456 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4939999999999567 Order of pole (three term test) 4.708912793380982e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5050000000000545 y[1] (closed_form) 0.08186638995827117 y[1] (numeric) 0.0818663899582679 absolute error 3.2751579226442118e-15 relative error 4.0006135904045865e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4949999999999455 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.494999999999957 Order of pole (three term test) 2.3747562261787373e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5040000000000546 y[1] (closed_form) 0.08181956233734526 y[1] (numeric) 0.081819562337342 absolute error 3.2612801348363973e-15 relative error 3.985941798845137e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4959999999999454 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.495999999999962 Order of pole (three term test) 4.790450391210193e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5030000000000547 y[1] (closed_form) 0.08177277488306954 y[1] (numeric) 0.08177277488306627 absolute error 3.2751579226442118e-15 relative error 4.0051935712436115e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4969999999999453 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.496999999999973 Order of pole (three term test) 4.831729330542983e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.502000000000055 y[1] (closed_form) 0.08172602754951955 y[1] (numeric) 0.08172602754951627 absolute error 3.2751579226442118e-15 relative error 4.007484544210501e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.497999999999945 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.49799999999996 Order of pole (three term test) 4.8733520120524954e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.501000000000055 y[1] (closed_form) 0.0816793202908365 y[1] (numeric) 0.0816793202908332 absolute error 3.2890357104520263e-15 relative error 4.02676674920986e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.498999999999945 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.498999999999963 Order of pole (three term test) 4.915321198685783e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.500000000000055 y[1] (closed_form) 0.08163265306122705 y[1] (numeric) 0.08163265306122378 absolute error 3.2751579226442118e-15 relative error 4.012068455239034e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.499999999999945 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4999999999999565 Order of pole (three term test) 4.9576396747986633e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.499000000000055 y[1] (closed_form) 0.08158602581496335 y[1] (numeric) 0.08158602581496005 absolute error 3.3029134982598407e-15 relative error 4.048381405108309e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.500999999999945 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.500999999999958 Order of pole (three term test) 2.5001551231577732e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4980000000000553 y[1] (closed_form) 0.08153943850638272 y[1] (numeric) 0.08153943850637942 absolute error 3.3029134982598407e-15 relative error 4.0506944354311394e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5019999999999447 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5019999999999567 Order of pole (three term test) 5.043335740890222e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4970000000000554 y[1] (closed_form) 0.08149289108988768 y[1] (numeric) 0.08149289108988439 absolute error 3.2890357104520263e-15 relative error 4.035978680427693e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5029999999999446 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5029999999999606 Order of pole (three term test) 7.630078512101852e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4960000000000555 y[1] (closed_form) 0.08144638351994586 y[1] (numeric) 0.08144638351994256 absolute error 3.3029134982598407e-15 relative error 4.055322477824902e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5039999999999445 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5039999999999583 Order of pole (three term test) 5.1304629194483104e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4950000000000556 y[1] (closed_form) 0.08139991575108978 y[1] (numeric) 0.08139991575108646 absolute error 3.316791286067655e-15 relative error 4.074686386912201e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5049999999999444 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.504999999999949 Order of pole (three term test) 2.5872851844250255e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4940000000000557 y[1] (closed_form) 0.0813534877379168 y[1] (numeric) 0.08135348773791347 absolute error 3.3306690738754696e-15 relative error 4.094070416016262e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5059999999999443 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5059999999999576 Order of pole (three term test) 5.2190442724761595e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.493000000000056 y[1] (closed_form) 0.081307099435089 y[1] (numeric) 0.08130709943508567 absolute error 3.3306690738754696e-15 relative error 4.096406214237772e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.506999999999944 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5069999999999673 Order of pole (three term test) 7.895831353621022e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.492000000000056 y[1] (closed_form) 0.08126075079733308 y[1] (numeric) 0.08126075079732975 absolute error 3.3306690738754696e-15 relative error 4.098742678593095e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.507999999999944 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5079999999999627 Order of pole (three term test) 5.309103220136603e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.491000000000056 y[1] (closed_form) 0.08121444177944025 y[1] (numeric) 0.08121444177943692 absolute error 3.3306690738754696e-15 relative error 4.1010798090822335e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.508999999999944 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.508999999999967 Order of pole (three term test) 8.032041315007489e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.490000000000056 y[1] (closed_form) 0.0811681723362661 y[1] (numeric) 0.08116817233626276 absolute error 3.3306690738754696e-15 relative error 4.103417605705186e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.509999999999944 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.509999999999953 Order of pole (three term test) 2.700331773052586e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4890000000000563 y[1] (closed_form) 0.0811219424227305 y[1] (numeric) 0.08112194242272716 absolute error 3.344546861683284e-15 relative error 4.122863385413878e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5109999999999437 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5109999999999646 Order of pole (three term test) 8.170521388629613e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4880000000000564 y[1] (closed_form) 0.08107575199381749 y[1] (numeric) 0.08107575199381414 absolute error 3.344546861683284e-15 relative error 4.1252122606748385e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5119999999999436 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5119999999999525 Order of pole (three term test) 2.7468747015001926e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4870000000000565 y[1] (closed_form) 0.08102960100457518 y[1] (numeric) 0.08102960100457184 absolute error 3.344546861683284e-15 relative error 4.127561804845171e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5129999999999435 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5129999999999457 Order of pole (three term test) 2.7704360277377213e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4860000000000566 y[1] (closed_form) 0.08098348941011564 y[1] (numeric) 0.08098348941011227 absolute error 3.372302437298913e-15 relative error 4.164185146704334e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5139999999999434 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5139999999999496 Order of pole (three term test) 2.794192658945823e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4850000000000567 y[1] (closed_form) 0.08093741716561473 y[1] (numeric) 0.08093741716561137 absolute error 3.3584246494910985e-15 relative error 4.149409219000732e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5149999999999433 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5149999999999664 Order of pole (three term test) 5.6362923155572865e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.484000000000057 y[1] (closed_form) 0.08089138422631212 y[1] (numeric) 0.08089138422630875 absolute error 3.372302437298913e-15 relative error 4.168926603931176e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.515999999999943 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.515999999999944 Order of pole (three term test) 2.8422980989432464e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.483000000000057 y[1] (closed_form) 0.08084539054751104 y[1] (numeric) 0.08084539054750767 absolute error 3.372302437298913e-15 relative error 4.171298344235328e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.516999999999943 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.516999999999948 Order of pole (three term test) 2.866650069289266e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.482000000000057 y[1] (closed_form) 0.0807994360845783 y[1] (numeric) 0.08079943608457492 absolute error 3.3861802251067274e-15 relative error 4.190846358831243e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.517999999999943 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5179999999999643 Order of pole (three term test) 5.782407335797745e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.481000000000057 y[1] (closed_form) 0.08075352079294405 y[1] (numeric) 0.08075352079294067 absolute error 3.3861802251067274e-15 relative error 4.193229213855651e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.518999999999943 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5189999999999544 Order of pole (three term test) 2.9159605061776197e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4800000000000573 y[1] (closed_form) 0.0807076446281018 y[1] (numeric) 0.0807076446280984 absolute error 3.400058012914542e-15 relative error 4.2128078803214965e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5199999999999427 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.519999999999949 Order of pole (three term test) 2.940922207945912e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4790000000000574 y[1] (closed_form) 0.08066180754560821 y[1] (numeric) 0.08066180754560481 absolute error 3.400058012914542e-15 relative error 4.215201861168389e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5209999999999426 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5209999999999684 Order of pole (three term test) 8.898271228593146e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4780000000000575 y[1] (closed_form) 0.08061600950108305 y[1] (numeric) 0.08061600950107965 absolute error 3.400058012914542e-15 relative error 4.217596522026885e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5219999999999425 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.521999999999948 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4770000000000576 y[1] (closed_form) 0.08057025045020905 y[1] (numeric) 0.08057025045020565 absolute error 3.400058012914542e-15 relative error 4.219991862896984e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5229999999999424 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5229999999999535 Order of pole (three term test) 6.034105841104789e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4760000000000577 y[1] (closed_form) 0.08052453034873183 y[1] (numeric) 0.08052453034872842 absolute error 3.4139358007223564e-15 relative error 4.239622120039005e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5239999999999423 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.523999999999932 Order of pole (three term test) 3.042850566015569e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.475000000000058 y[1] (closed_form) 0.08047884915245976 y[1] (numeric) 0.08047884915245634 absolute error 3.4139358007223564e-15 relative error 4.242028603384934e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.524999999999942 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.524999999999964 Order of pole (three term test) 9.206584150614942e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.474000000000058 y[1] (closed_form) 0.08043320681726386 y[1] (numeric) 0.08043320681726045 absolute error 3.4139358007223564e-15 relative error 4.244435769518023e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.525999999999942 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5259999999999434 Order of pole (three term test) 3.095087073386593e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.473000000000058 y[1] (closed_form) 0.08038760329907774 y[1] (numeric) 0.08038760329907431 absolute error 3.427813588530171e-15 relative error 4.264107210383143e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.526999999999942 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5269999999999504 Order of pole (three term test) 3.121529348899856e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.472000000000058 y[1] (closed_form) 0.08034203855389738 y[1] (numeric) 0.08034203855389395 absolute error 3.427813588530171e-15 relative error 4.26652553286985e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.527999999999942 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.52799999999994 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4710000000000583 y[1] (closed_form) 0.08029651253778115 y[1] (numeric) 0.08029651253777773 absolute error 3.427813588530171e-15 relative error 4.268944540919277e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5289999999999417 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5289999999999595 Order of pole (three term test) 6.350141152453271e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4700000000000584 y[1] (closed_form) 0.08025102520684967 y[1] (numeric) 0.08025102520684624 absolute error 3.427813588530171e-15 relative error 4.27136423453142e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5299999999999416 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5299999999999496 Order of pole (three term test) 3.2021730209598257e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4690000000000585 y[1] (closed_form) 0.08020557651728563 y[1] (numeric) 0.08020557651728219 absolute error 3.4416913763379853e-15 relative error 4.29108738542169e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5309999999999415 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5309999999999535 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4680000000000586 y[1] (closed_form) 0.08016016642533377 y[1] (numeric) 0.08016016642533033 absolute error 3.4416913763379853e-15 relative error 4.293518252040798e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5319999999999414 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.531999999999946 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4670000000000587 y[1] (closed_form) 0.08011479488730078 y[1] (numeric) 0.08011479488729732 absolute error 3.4555691641457997e-15 relative error 4.3132721852522044e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5329999999999413 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.532999999999951 Order of pole (three term test) 3.284828919717114e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.466000000000059 y[1] (closed_form) 0.08006946185955507 y[1] (numeric) 0.0800694618595516 absolute error 3.469446951953614e-15 relative error 4.333046421667174e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.533999999999941 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.53399999999994 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.465000000000059 y[1] (closed_form) 0.08002416729852682 y[1] (numeric) 0.08002416729852335 absolute error 3.469446951953614e-15 relative error 4.335498973717511e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.534999999999941 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5349999999999406 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.464000000000059 y[1] (closed_form) 0.07997891116070781 y[1] (numeric) 0.07997891116070434 absolute error 3.469446951953614e-15 relative error 4.337952219657237e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.535999999999941 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.535999999999948 Order of pole (three term test) 3.369545481461375e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.463000000000059 y[1] (closed_form) 0.07993369340265132 y[1] (numeric) 0.07993369340264783 absolute error 3.4833247397614286e-15 relative error 4.357767784124298e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.536999999999941 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5369999999999373 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4620000000000593 y[1] (closed_form) 0.07988851398097195 y[1] (numeric) 0.07988851398096847 absolute error 3.4833247397614286e-15 relative error 4.3602322363776795e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5379999999999407 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5379999999999545 Order of pole (three term test) 3.427192428956553e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4610000000000594 y[1] (closed_form) 0.0798433728523457 y[1] (numeric) 0.0798433728523422 absolute error 3.497202527569243e-15 relative error 4.380078649779259e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5389999999999406 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5389999999999593 Order of pole (three term test) 6.912744531577191e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4600000000000595 y[1] (closed_form) 0.07979826997350965 y[1] (numeric) 0.07979826997350617 absolute error 3.4833247397614286e-15 relative error 4.365163230879285e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5399999999999405 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5399999999999543 Order of pole (three term test) 3.4857921963533186e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4590000000000596 y[1] (closed_form) 0.07975320530126204 y[1] (numeric) 0.07975320530125855 absolute error 3.4833247397614286e-15 relative error 4.36762977312751e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5409999999999404 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5409999999999413 Order of pole (three term test) 3.515454127497116e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4580000000000597 y[1] (closed_form) 0.07970817879246204 y[1] (numeric) 0.07970817879245855 absolute error 3.497202527569243e-15 relative error 4.387507757108573e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5419999999999403 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5419999999999434 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.45700000000006 y[1] (closed_form) 0.0796631904040297 y[1] (numeric) 0.0796631904040262 absolute error 3.497202527569243e-15 relative error 4.389985525099356e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.54299999999994 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5429999999999557 Order of pole (three term test) 7.151023384023697e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.45600000000006 y[1] (closed_form) 0.07961824009294585 y[1] (numeric) 0.07961824009294234 absolute error 3.5110803153770576e-15 relative error 4.409894405199416e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.54399999999994 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5439999999999383 Order of pole (three term test) 3.60591121250341e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.45500000000006 y[1] (closed_form) 0.07957332781625197 y[1] (numeric) 0.07957332781624846 absolute error 3.5110803153770576e-15 relative error 4.412383410034987e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.54499999999994 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5449999999999378 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.45400000000006 y[1] (closed_form) 0.07952845353105012 y[1] (numeric) 0.07952845353104661 absolute error 3.5110803153770576e-15 relative error 4.414873117086621e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.54599999999994 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5459999999999527 Order of pole (three term test) 3.6674615595271415e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4530000000000602 y[1] (closed_form) 0.07948361719450285 y[1] (numeric) 0.07948361719449933 absolute error 3.524958103184872e-15 relative error 4.434823461241093e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5469999999999398 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.54699999999995 Order of pole (three term test) 3.698616363057933e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4520000000000604 y[1] (closed_form) 0.079438818763833 y[1] (numeric) 0.07943881876382948 absolute error 3.524958103184872e-15 relative error 4.437324419015302e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5479999999999396 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.547999999999937 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4510000000000605 y[1] (closed_form) 0.07939405819632372 y[1] (numeric) 0.0793940581963202 absolute error 3.524958103184872e-15 relative error 4.439826081781132e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5489999999999395 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.548999999999936 Order of pole (three term test) 3.7616952869114857e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4500000000000606 y[1] (closed_form) 0.07934933544931831 y[1] (numeric) 0.07934933544931479 absolute error 3.524958103184872e-15 relative error 4.442328449538584e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5499999999999394 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5499999999999603 Order of pole (three term test) 7.587246952220816e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4490000000000607 y[1] (closed_form) 0.07930465048022013 y[1] (numeric) 0.07930465048021659 absolute error 3.5388358909926865e-15 relative error 4.462330858989574e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5509999999999393 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.550999999999944 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.448000000000061 y[1] (closed_form) 0.07926000324649245 y[1] (numeric) 0.07926000324648891 absolute error 3.5388358909926865e-15 relative error 4.464844494122946e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.551999999999939 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5519999999999543 Order of pole (three term test) 7.716535196080772e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.447000000000061 y[1] (closed_form) 0.07921539370565843 y[1] (numeric) 0.07921539370565489 absolute error 3.5388358909926865e-15 relative error 4.4673588370234965e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.552999999999939 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.552999999999942 Order of pole (three term test) 3.8909876935672664e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.446000000000061 y[1] (closed_form) 0.079170821815301 y[1] (numeric) 0.07917082181529744 absolute error 3.552713678800501e-15 relative error 4.4874028048978564e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.553999999999939 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5539999999999545 Order of pole (three term test) 3.9239759471586165e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.445000000000061 y[1] (closed_form) 0.07912628753306267 y[1] (numeric) 0.07912628753305911 absolute error 3.552713678800501e-15 relative error 4.489928429052116e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.554999999999939 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5549999999999375 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4440000000000612 y[1] (closed_form) 0.07908179081664558 y[1] (numeric) 0.07908179081664202 absolute error 3.566591466608315e-15 relative error 4.510003415170005e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5559999999999388 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.555999999999954 Order of pole (three term test) 3.9907654299601265e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4430000000000613 y[1] (closed_form) 0.07903733162381127 y[1] (numeric) 0.0790373316238077 absolute error 3.566591466608315e-15 relative error 4.5125403316802035e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5569999999999387 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.556999999999956 Order of pole (three term test) 8.049141900889286e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4420000000000615 y[1] (closed_form) 0.07899290991238063 y[1] (numeric) 0.07899290991237706 absolute error 3.566591466608315e-15 relative error 4.515077961508695e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5579999999999385 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.557999999999938 Order of pole (three term test) 4.058653211780629e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4410000000000616 y[1] (closed_form) 0.07894852564023382 y[1] (numeric) 0.07894852564023025 absolute error 3.566591466608315e-15 relative error 4.5176163046554805e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5589999999999384 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5589999999999518 Order of pole (three term test) 4.093014400704687e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4400000000000617 y[1] (closed_form) 0.07890417876531014 y[1] (numeric) 0.07890417876530656 absolute error 3.58046925441613e-15 relative error 4.53774351427667e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5599999999999383 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.559999999999956 Order of pole (three term test) 8.25531344122111e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439000000000062 y[1] (closed_form) 0.07885986924560794 y[1] (numeric) 0.07885986924560434 absolute error 3.594347042223944e-15 relative error 4.557891201961547e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.560999999999938 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5609999999999293 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.438000000000062 y[1] (closed_form) 0.0788155970391845 y[1] (numeric) 0.0788155970391809 absolute error 3.608224830031759e-15 relative error 4.578059376036787e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.561999999999938 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.561999999999943 Order of pole (three term test) 4.1977936509628436e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.437000000000062 y[1] (closed_form) 0.07877136210415597 y[1] (numeric) 0.07877136210415236 absolute error 3.608224830031759e-15 relative error 4.580630236228185e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.562999999999938 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.562999999999943 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.436000000000062 y[1] (closed_form) 0.07872716439869726 y[1] (numeric) 0.07872716439869365 absolute error 3.608224830031759e-15 relative error 4.583201818064549e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.563999999999938 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5639999999999508 Order of pole (three term test) 4.269081967795865e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4350000000000622 y[1] (closed_form) 0.07868300388104191 y[1] (numeric) 0.0786830038810383 absolute error 3.608224830031759e-15 relative error 4.585774121545878e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5649999999999378 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5649999999999666 Order of pole (three term test) 8.610327170239751e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4340000000000623 y[1] (closed_form) 0.07863888050948203 y[1] (numeric) 0.07863888050947841 absolute error 3.622102617839573e-15 relative error 4.605994635697836e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5659999999999377 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5659999999999425 Order of pole (three term test) 4.341539910491388e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4330000000000624 y[1] (closed_form) 0.07859479424236819 y[1] (numeric) 0.07859479424236455 absolute error 3.635980405647388e-15 relative error 4.626235669546845e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5669999999999376 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.566999999999946 Order of pole (three term test) 4.37821326737377e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4320000000000626 y[1] (closed_form) 0.0785507450381093 y[1] (numeric) 0.07855074503810565 absolute error 3.649858193455202e-15 relative error 4.64649723141958e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5679999999999374 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.567999999999952 Order of pole (three term test) 4.4151859968891686e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4310000000000627 y[1] (closed_form) 0.07850673285517251 y[1] (numeric) 0.07850673285516886 absolute error 3.649858193455202e-15 relative error 4.64910213521225e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5689999999999373 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.568999999999938 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4300000000000628 y[1] (closed_form) 0.0784627576520832 y[1] (numeric) 0.07846275765207954 absolute error 3.6637359812630166e-15 relative error 4.669394870759737e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5699999999999372 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5699999999999514 Order of pole (three term test) 8.980078054756443e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429000000000063 y[1] (closed_form) 0.07841881938742475 y[1] (numeric) 0.07841881938742108 absolute error 3.6637359812630166e-15 relative error 4.672011144623957e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.570999999999937 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.570999999999937 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.428000000000063 y[1] (closed_form) 0.07837491801983851 y[1] (numeric) 0.07837491801983484 absolute error 3.6637359812630166e-15 relative error 4.674628151235374e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.571999999999937 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.571999999999951 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.427000000000063 y[1] (closed_form) 0.07833105350802375 y[1] (numeric) 0.07833105350802007 absolute error 3.677613769070831e-15 relative error 4.694962731088659e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.572999999999937 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5729999999999436 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.426000000000063 y[1] (closed_form) 0.07828722581073745 y[1] (numeric) 0.07828722581073376 absolute error 3.6914915568786455e-15 relative error 4.715317880599035e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.573999999999937 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5739999999999545 Order of pole (three term test) 4.643442559886636e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4250000000000633 y[1] (closed_form) 0.0782434348867943 y[1] (numeric) 0.0782434348867906 absolute error 3.70536934468646e-15 relative error 4.735693608093171e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5749999999999367 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5749999999999504 Order of pole (three term test) 2.3412889799816194e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4240000000000634 y[1] (closed_form) 0.07819968069506655 y[1] (numeric) 0.07819968069506285 absolute error 3.70536934468646e-15 relative error 4.738343317711556e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5759999999999366 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.575999999999958 Order of pole (three term test) 9.444064226133855e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4230000000000635 y[1] (closed_form) 0.07815596319448397 y[1] (numeric) 0.07815596319448025 absolute error 3.7192471324942744e-15 relative error 4.758750299371615e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5769999999999365 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.576999999999927 Order of pole (three term test) 4.76180752517429e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4220000000000637 y[1] (closed_form) 0.07811228234403364 y[1] (numeric) 0.07811228234402992 absolute error 3.7192471324942744e-15 relative error 4.761411420694914e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5779999999999363 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.577999999999943 Order of pole (three term test) 4.8019067212546603e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4210000000000638 y[1] (closed_form) 0.07806863810276 y[1] (numeric) 0.07806863810275627 absolute error 3.733124920302089e-15 relative error 4.781849678725354e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5789999999999362 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5789999999999447 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.420000000000064 y[1] (closed_form) 0.07802503042976465 y[1] (numeric) 0.07802503042976092 absolute error 3.733124920302089e-15 relative error 4.784522222855798e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.579999999999936 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.579999999999935 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.419000000000064 y[1] (closed_form) 0.07798145928420629 y[1] (numeric) 0.07798145928420255 absolute error 3.733124920302089e-15 relative error 4.7871955136112266e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.580999999999936 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5809999999999462 Order of pole (three term test) 4.924172550830976e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.418000000000064 y[1] (closed_form) 0.07793792462530062 y[1] (numeric) 0.07793792462529689 absolute error 3.733124920302089e-15 relative error 4.789869550991639e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.581999999999936 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.581999999999956 Order of pole (three term test) 4.965592517217184e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.417000000000064 y[1] (closed_form) 0.07789442641232028 y[1] (numeric) 0.07789442641231653 absolute error 3.747002708109903e-15 relative error 4.810360484941261e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.582999999999936 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5829999999999407 Order of pole (three term test) 2.503674591097552e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4160000000000643 y[1] (closed_form) 0.07785096460459463 y[1] (numeric) 0.07785096460459089 absolute error 3.747002708109903e-15 relative error 4.813045961782163e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5839999999999357 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5839999999999366 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4150000000000644 y[1] (closed_form) 0.07780753916150984 y[1] (numeric) 0.0778075391615061 absolute error 3.747002708109903e-15 relative error 4.8157321880236075e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5849999999999356 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.584999999999952 Order of pole (three term test) 7.637824793077552e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4140000000000645 y[1] (closed_form) 0.07776415004250868 y[1] (numeric) 0.07776415004250492 absolute error 3.760880495917718e-15 relative error 4.836265160568058e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5859999999999355 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5859999999999577 Order of pole (three term test) 5.134665887429949e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4130000000000646 y[1] (closed_form) 0.07772079720709041 y[1] (numeric) 0.07772079720708665 absolute error 3.760880495917718e-15 relative error 4.838962840147779e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5869999999999354 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5869999999999536 Order of pole (three term test) 5.1777959660245247e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4120000000000648 y[1] (closed_form) 0.07767748061481075 y[1] (numeric) 0.07767748061480698 absolute error 3.774758283725532e-15 relative error 4.8595271806560106e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5879999999999352 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.587999999999924 Order of pole (three term test) 2.6106380769238297e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.411000000000065 y[1] (closed_form) 0.07763420022528174 y[1] (numeric) 0.07763420022527796 absolute error 3.774758283725532e-15 relative error 4.86223632467624e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.588999999999935 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.588999999999942 Order of pole (three term test) 2.6325545970748924e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.410000000000065 y[1] (closed_form) 0.07759095599817167 y[1] (numeric) 0.0775909559981679 absolute error 3.774758283725532e-15 relative error 4.864946223648126e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.589999999999935 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5899999999999426 Order of pole (three term test) 2.6546489254510966e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.409000000000065 y[1] (closed_form) 0.07754774789320498 y[1] (numeric) 0.07754774789320122 absolute error 3.760880495917718e-15 relative error 4.849761080227657e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.590999999999935 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5909999999999522 Order of pole (three term test) 2.676922454474007e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.408000000000065 y[1] (closed_form) 0.07750457587016218 y[1] (numeric) 0.07750457587015842 absolute error 3.760880495917718e-15 relative error 4.852462520687874e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.591999999999935 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.591999999999931 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4070000000000653 y[1] (closed_form) 0.07746143988887973 y[1] (numeric) 0.07746143988887597 absolute error 3.760880495917718e-15 relative error 4.855164713324191e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5929999999999347 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5929999999999476 Order of pole (three term test) 2.722012736781133e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4060000000000654 y[1] (closed_form) 0.07741833990924996 y[1] (numeric) 0.07741833990924617 absolute error 3.788636071533347e-15 relative error 4.893719079967872e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5939999999999346 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5939999999999386 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4050000000000655 y[1] (closed_form) 0.07737527589122092 y[1] (numeric) 0.07737527589121714 absolute error 3.788636071533347e-15 relative error 4.896442730439698e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5949999999999345 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5949999999999465 Order of pole (three term test) 5.5356735899640514e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4040000000000656 y[1] (closed_form) 0.07733224779479644 y[1] (numeric) 0.07733224779479266 absolute error 3.788636071533347e-15 relative error 4.899167138638737e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5959999999999344 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5959999999999432 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4030000000000658 y[1] (closed_form) 0.0772892555800359 y[1] (numeric) 0.07728925558003209 absolute error 3.802513859341161e-15 relative error 4.919847954032261e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5969999999999342 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5969999999999542 Order of pole (three term test) 5.6288123038940077e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.402000000000066 y[1] (closed_form) 0.07724629920705411 y[1] (numeric) 0.07724629920705031 absolute error 3.802513859341161e-15 relative error 4.9225838627540576e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.597999999999934 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5979999999999506 Order of pole (three term test) 5.675947931956838e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.401000000000066 y[1] (closed_form) 0.07720337863602139 y[1] (numeric) 0.07720337863601759 absolute error 3.802513859341161e-15 relative error 4.925320531978625e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.598999999999934 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5989999999999536 Order of pole (three term test) 5.723465009871859e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.400000000000066 y[1] (closed_form) 0.07716049382716333 y[1] (numeric) 0.0771604938271595 absolute error 3.83026943495679e-15 relative error 4.964029187703817e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.599999999999934 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5999999999999397 Order of pole (three term test) 2.8856832586420926e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399000000000066 y[1] (closed_form) 0.07711764474076069 y[1] (numeric) 0.07711764474075686 absolute error 3.83026943495679e-15 relative error 4.96678736472393e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.600999999999934 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6009999999999445 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3980000000000663 y[1] (closed_form) 0.07707483133714942 y[1] (numeric) 0.07707483133714559 absolute error 3.83026943495679e-15 relative error 4.969546307797929e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6019999999999337 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.601999999999947 Order of pole (three term test) 2.9341674257661207e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3970000000000664 y[1] (closed_form) 0.0770320535767205 y[1] (numeric) 0.07703205357671665 absolute error 3.8441472227646045e-15 relative error 4.990321618436415e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6029999999999336 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6029999999999447 Order of pole (three term test) 2.958703875249005e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3960000000000665 y[1] (closed_form) 0.0769893114199198 y[1] (numeric) 0.07698931141991595 absolute error 3.8441472227646045e-15 relative error 4.993092095339861e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6039999999999335 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6039999999999295 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3950000000000666 y[1] (closed_form) 0.0769466048272481 y[1] (numeric) 0.07694660482724426 absolute error 3.8441472227646045e-15 relative error 4.995863341072752e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6049999999999334 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.604999999999942 Order of pole (three term test) 3.008373182079674e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3940000000000667 y[1] (closed_form) 0.07690393375926093 y[1] (numeric) 0.07690393375925708 absolute error 3.8441472227646045e-15 relative error 4.9986353556350875e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6059999999999333 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6059999999999452 Order of pole (three term test) 6.067018289059444e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.393000000000067 y[1] (closed_form) 0.07686129817656848 y[1] (numeric) 0.07686129817656462 absolute error 3.858025010572419e-15 relative error 5.0194637640775056e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.606999999999933 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6069999999999487 Order of pole (three term test) 6.117696138414392e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.392000000000067 y[1] (closed_form) 0.0768186980398355 y[1] (numeric) 0.07681869803983164 absolute error 3.858025010572419e-15 relative error 5.0222473291226334e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.607999999999933 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6079999999999504 Order of pole (three term test) 6.168783075988579e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.391000000000067 y[1] (closed_form) 0.07677613330978128 y[1] (numeric) 0.07677613330977741 absolute error 3.8719027983802334e-15 relative error 5.043107319246765e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.608999999999933 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6089999999999507 Order of pole (three term test) 6.22028228931741e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390000000000067 y[1] (closed_form) 0.07673360394717946 y[1] (numeric) 0.07673360394717557 absolute error 3.885780586188048e-15 relative error 5.063988117725937e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.609999999999933 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6099999999999337 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3890000000000673 y[1] (closed_form) 0.07669110991285798 y[1] (numeric) 0.0766911099128541 absolute error 3.8719027983802334e-15 relative error 5.048698346887627e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6109999999999327 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6109999999999425 Order of pole (three term test) 3.162265206634332e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3880000000000674 y[1] (closed_form) 0.07664865116769908 y[1] (numeric) 0.07664865116769519 absolute error 3.885780586188048e-15 relative error 5.069600739204626e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6119999999999326 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6119999999999415 Order of pole (three term test) 3.1886429096852646e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3870000000000675 y[1] (closed_form) 0.07660622767263901 y[1] (numeric) 0.07660622767263513 absolute error 3.885780586188048e-15 relative error 5.072408215678147e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6129999999999325 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6129999999999427 Order of pole (three term test) 3.2152332462679136e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3860000000000676 y[1] (closed_form) 0.07656383938866818 y[1] (numeric) 0.07656383938866428 absolute error 3.899658373995862e-15 relative error 5.0933422424124555e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6139999999999324 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6139999999999364 Order of pole (three term test) 3.242037870879117e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3850000000000677 y[1] (closed_form) 0.07652148627683082 y[1] (numeric) 0.07652148627682692 absolute error 3.899658373995862e-15 relative error 5.096161305451016e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6149999999999323 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.614999999999945 Order of pole (three term test) 3.2690584504261417e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.384000000000068 y[1] (closed_form) 0.07647916829822513 y[1] (numeric) 0.07647916829822123 absolute error 3.899658373995862e-15 relative error 5.0989811484212535e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.615999999999932 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.615999999999945 Order of pole (three term test) 3.2962966643162135e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.383000000000068 y[1] (closed_form) 0.07643688541400301 y[1] (numeric) 0.0764368854139991 absolute error 3.913536161803677e-15 relative error 5.119957649512926e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.616999999999932 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6169999999999405 Order of pole (three term test) 3.3237542045468295e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.382000000000068 y[1] (closed_form) 0.07639463758537006 y[1] (numeric) 0.07639463758536615 absolute error 3.913536161803677e-15 relative error 5.122789092925991e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.617999999999932 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.617999999999943 Order of pole (three term test) 3.3514327757966005e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.381000000000068 y[1] (closed_form) 0.07635242477358549 y[1] (numeric) 0.07635242477358156 absolute error 3.927413949611491e-15 relative error 5.143797281170565e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.618999999999932 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6189999999999456 Order of pole (three term test) 6.758668191033456e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3800000000000683 y[1] (closed_form) 0.07631024693996198 y[1] (numeric) 0.07631024693995804 absolute error 3.941291737419306e-15 relative error 5.16482634438356e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6199999999999317 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6199999999999384 Order of pole (three term test) 3.407459894023142e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3790000000000684 y[1] (closed_form) 0.07626810404586563 y[1] (numeric) 0.07626810404586169 absolute error 3.941291737419306e-15 relative error 5.167680233730625e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6209999999999316 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.620999999999937 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3780000000000685 y[1] (closed_form) 0.0762259960527159 y[1] (numeric) 0.07622599605271195 absolute error 3.95516952522712e-15 relative error 5.1887410201787695e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6219999999999315 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6219999999999546 Order of pole (three term test) 3.4643919135396046e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3770000000000686 y[1] (closed_form) 0.07618392292198545 y[1] (numeric) 0.07618392292198149 absolute error 3.95516952522712e-15 relative error 5.191606540499796e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6229999999999314 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6229999999999447 Order of pole (three term test) 3.4932016603433456e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3760000000000687 y[1] (closed_form) 0.07614188461520008 y[1] (numeric) 0.07614188461519612 absolute error 3.95516952522712e-15 relative error 5.1944728518547286e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6239999999999313 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.623999999999933 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.375000000000069 y[1] (closed_form) 0.07609988109393867 y[1] (numeric) 0.07609988109393473 absolute error 3.941291737419306e-15 relative error 5.17910367370236e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.624999999999931 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6249999999999436 Order of pole (three term test) 7.103035083364897e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.374000000000069 y[1] (closed_form) 0.07605791231983311 y[1] (numeric) 0.07605791231982915 absolute error 3.95516952522712e-15 relative error 5.200207847666306e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.625999999999931 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6259999999999195 Order of pole (three term test) 3.581027281737071e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.373000000000069 y[1] (closed_form) 0.0760159782545681 y[1] (numeric) 0.07601597825456413 absolute error 3.969047313034935e-15 relative error 5.221332941007595e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.626999999999931 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6269999999999354 Order of pole (three term test) 3.6107739808764926e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.372000000000069 y[1] (closed_form) 0.07597407885988117 y[1] (numeric) 0.0759740788598772 absolute error 3.969047313034935e-15 relative error 5.224212484833203e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.627999999999931 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.627999999999948 Order of pole (three term test) 1.092227842718635e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3710000000000693 y[1] (closed_form) 0.07593221409756258 y[1] (numeric) 0.07593221409755861 absolute error 3.969047313034935e-15 relative error 5.227092822468272e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6289999999999307 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6289999999999525 Order of pole (three term test) 3.670985616645218e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3700000000000694 y[1] (closed_form) 0.0758903839294552 y[1] (numeric) 0.07589038392945123 absolute error 3.969047313034935e-15 relative error 5.229973953912803e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6299999999999306 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6299999999999333 Order of pole (three term test) 3.7014542677989743e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3690000000000695 y[1] (closed_form) 0.07584858831745442 y[1] (numeric) 0.07584858831745045 absolute error 3.969047313034935e-15 relative error 5.232855879166798e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6309999999999305 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6309999999999354 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3680000000000696 y[1] (closed_form) 0.07580682722350812 y[1] (numeric) 0.07580682722350414 absolute error 3.982925100842749e-15 relative error 5.254045376545744e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6319999999999304 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.63199999999994 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3670000000000697 y[1] (closed_form) 0.07576510060961647 y[1] (numeric) 0.0757651006096125 absolute error 3.969047313034935e-15 relative error 5.238622111103175e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6329999999999303 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.63299999999994 Order of pole (three term test) 3.794334133836663e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.36600000000007 y[1] (closed_form) 0.07572340843783203 y[1] (numeric) 0.07572340843782803 absolute error 3.9968028886505635e-15 relative error 5.278160308819021e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.63399999999993 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6339999999999315 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.36500000000007 y[1] (closed_form) 0.07568175067025942 y[1] (numeric) 0.07568175067025541 absolute error 4.010680676458378e-15 relative error 5.299402618119471e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.63499999999993 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6349999999999403 Order of pole (three term test) 3.857501403303516e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.36400000000007 y[1] (closed_form) 0.07564012726905545 y[1] (numeric) 0.07564012726905145 absolute error 3.9968028886505635e-15 relative error 5.283971660219119e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.63599999999993 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.635999999999923 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.36300000000007 y[1] (closed_form) 0.07559853819642894 y[1] (numeric) 0.07559853819642492 absolute error 4.010680676458378e-15 relative error 5.3052357520953116e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.63699999999993 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6369999999999343 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3620000000000703 y[1] (closed_form) 0.0755569834146406 y[1] (numeric) 0.07555698341463658 absolute error 4.010680676458378e-15 relative error 5.308153522287436e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6379999999999297 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6379999999999377 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3610000000000704 y[1] (closed_form) 0.07551546288600304 y[1] (numeric) 0.07551546288599902 absolute error 4.0245584642661925e-15 relative error 5.329449506707789e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6389999999999296 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.638999999999944 Order of pole (three term test) 3.986899648384589e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3600000000000705 y[1] (closed_form) 0.07547397657288059 y[1] (numeric) 0.07547397657287656 absolute error 4.0245584642661925e-15 relative error 5.332378982813928e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6399999999999295 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6399999999999575 Order of pole (three term test) 8.03979808842701e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3590000000000706 y[1] (closed_form) 0.07543252443768927 y[1] (numeric) 0.07543252443768525 absolute error 4.0245584642661925e-15 relative error 5.3353092638317606e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6409999999999294 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.64099999999995 Order of pole (three term test) 8.106324794708296e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3580000000000707 y[1] (closed_form) 0.07539110644289673 y[1] (numeric) 0.07539110644289268 absolute error 4.052314039881821e-15 relative error 5.375055800449293e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6419999999999293 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.641999999999926 Order of pole (three term test) 4.0866917457951256e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.357000000000071 y[1] (closed_form) 0.07534972255102204 y[1] (numeric) 0.07534972255101799 absolute error 4.052314039881821e-15 relative error 5.378007911227346e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.642999999999929 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6429999999999256 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.356000000000071 y[1] (closed_form) 0.07530837272463577 y[1] (numeric) 0.0753083727246317 absolute error 4.066191827689636e-15 relative error 5.399388780524606e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.643999999999929 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.643999999999931 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.355000000000071 y[1] (closed_form) 0.07526705692635977 y[1] (numeric) 0.0752670569263557 absolute error 4.066191827689636e-15 relative error 5.402352627747809e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.644999999999929 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6449999999999427 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.354000000000071 y[1] (closed_form) 0.07522577511886719 y[1] (numeric) 0.07522577511886311 absolute error 4.08006961549745e-15 relative error 5.423765470080398e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.645999999999929 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6459999999999297 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3530000000000713 y[1] (closed_form) 0.07518452726488233 y[1] (numeric) 0.07518452726487823 absolute error 4.093947403305265e-15 relative error 5.44519936779265e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6469999999999287 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.646999999999943 Order of pole (three term test) 4.258400815041892e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3520000000000714 y[1] (closed_form) 0.07514331332718054 y[1] (numeric) 0.07514331332717644 absolute error 4.093947403305265e-15 relative error 5.4481859024233606e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6479999999999286 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6479999999999393 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3510000000000715 y[1] (closed_form) 0.07510213326858822 y[1] (numeric) 0.07510213326858413 absolute error 4.093947403305265e-15 relative error 5.451173255843553e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6489999999999285 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6489999999999285 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3500000000000716 y[1] (closed_form) 0.07506098705198268 y[1] (numeric) 0.07506098705197858 absolute error 4.093947403305265e-15 relative error 5.454161428053225e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6499999999999284 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6499999999999506 Order of pole (three term test) 4.36475197908996e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3490000000000717 y[1] (closed_form) 0.07501987464029203 y[1] (numeric) 0.07501987464028792 absolute error 4.107825191113079e-15 relative error 5.475649234032216e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6509999999999283 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.650999999999939 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.348000000000072 y[1] (closed_form) 0.07497879599649515 y[1] (numeric) 0.07497879599649103 absolute error 4.121702978920894e-15 relative error 5.49715812869756e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.651999999999928 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6519999999999304 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.347000000000072 y[1] (closed_form) 0.07493775108362156 y[1] (numeric) 0.07493775108361744 absolute error 4.121702978920894e-15 relative error 5.500169032723662e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.652999999999928 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6529999999999303 Order of pole (three term test) 4.473668537210736e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.346000000000072 y[1] (closed_form) 0.07489673986475143 y[1] (numeric) 0.07489673986474729 absolute error 4.135580766728708e-15 relative error 5.5217099892421776e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.653999999999928 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6539999999999293 Order of pole (three term test) 4.510554424184869e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.345000000000072 y[1] (closed_form) 0.07485576230301533 y[1] (numeric) 0.0748557623030112 absolute error 4.121702978920894e-15 relative error 5.506193313797652e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.654999999999928 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6549999999999314 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3440000000000722 y[1] (closed_form) 0.07481481836159434 y[1] (numeric) 0.07481481836159021 absolute error 4.135580766728708e-15 relative error 5.5277562083231354e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6559999999999278 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6559999999999375 Order of pole (three term test) 4.585210188209956e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3430000000000724 y[1] (closed_form) 0.07477390800371983 y[1] (numeric) 0.07477390800371568 absolute error 4.1494585545365226e-15 relative error 5.549340224841661e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6569999999999276 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6569999999999374 Order of pole (three term test) 4.622984603066814e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3420000000000725 y[1] (closed_form) 0.07473303119267338 y[1] (numeric) 0.07473303119266925 absolute error 4.135580766728708e-15 relative error 5.533805735868705e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6579999999999275 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.657999999999948 Order of pole (three term test) 4.661059759744501e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3410000000000726 y[1] (closed_form) 0.07469218789178682 y[1] (numeric) 0.07469218789178268 absolute error 4.135580766728708e-15 relative error 5.536831740315721e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6589999999999274 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.658999999999928 Order of pole (three term test) 2.3497189847036102e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3400000000000727 y[1] (closed_form) 0.07465137806444203 y[1] (numeric) 0.07465137806443788 absolute error 4.1494585545365226e-15 relative error 5.558448701314724e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6599999999999273 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6599999999999535 Order of pole (three term test) 9.476243120682612e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339000000000073 y[1] (closed_form) 0.07461060167407088 y[1] (numeric) 0.07461060167406672 absolute error 4.163336342344337e-15 relative error 5.580086809286789e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.660999999999927 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6609999999999245 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.338000000000073 y[1] (closed_form) 0.07456985868415518 y[1] (numeric) 0.074569858684151 absolute error 4.1772141301521515e-15 relative error 5.601746072558587e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.661999999999927 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.661999999999936 Order of pole (three term test) 2.4082071427558767e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.337000000000073 y[1] (closed_form) 0.07452914905822657 y[1] (numeric) 0.07452914905822239 absolute error 4.1772141301521515e-15 relative error 5.604805881908923e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.662999999999927 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.662999999999946 Order of pole (three term test) 4.856028163033875e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.336000000000073 y[1] (closed_form) 0.07448847275986645 y[1] (numeric) 0.07448847275986227 absolute error 4.1772141301521515e-15 relative error 5.607866526702085e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.663999999999927 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6639999999999464 Order of pole (three term test) 4.895956908647104e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3350000000000732 y[1] (closed_form) 0.07444782975270589 y[1] (numeric) 0.07444782975270173 absolute error 4.163336342344337e-15 relative error 5.592287050104393e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6649999999999268 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6649999999999268 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3340000000000733 y[1] (closed_form) 0.0744072200004256 y[1] (numeric) 0.07440722000042144 absolute error 4.163336342344337e-15 relative error 5.595339191976966e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6659999999999267 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6659999999999364 Order of pole (three term test) 4.976768684993356e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3330000000000735 y[1] (closed_form) 0.07436664346675578 y[1] (numeric) 0.07436664346675159 absolute error 4.191091917959966e-15 relative error 5.63571478096025e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6669999999999265 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6669999999999248 Order of pole (three term test) 2.508828300472607e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3320000000000736 y[1] (closed_form) 0.07432610011547601 y[1] (numeric) 0.07432610011547182 absolute error 4.191091917959966e-15 relative error 5.638788946882074e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6679999999999264 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.667999999999928 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3310000000000737 y[1] (closed_form) 0.07428558991041531 y[1] (numeric) 0.0742855899104111 absolute error 4.2049697057677804e-15 relative error 5.6605456197342745e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6689999999999263 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6689999999999467 Order of pole (three term test) 7.650613255773506e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.330000000000074 y[1] (closed_form) 0.0742451128154519 y[1] (numeric) 0.07424511281544771 absolute error 4.191091917959966e-15 relative error 5.644939793380872e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.669999999999926 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.669999999999931 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.329000000000074 y[1] (closed_form) 0.07420466879451326 y[1] (numeric) 0.07420466879450907 absolute error 4.191091917959966e-15 relative error 5.648016473957846e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.670999999999926 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6709999999999336 Order of pole (three term test) 2.5922398122210753e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.328000000000074 y[1] (closed_form) 0.07416425781157594 y[1] (numeric) 0.07416425781157174 absolute error 4.2049697057677804e-15 relative error 5.669806224517286e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.671999999999926 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6719999999999318 Order of pole (three term test) 2.6135078992970958e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.327000000000074 y[1] (closed_form) 0.07412387983066551 y[1] (numeric) 0.07412387983066131 absolute error 4.2049697057677804e-15 relative error 5.672894774766172e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.672999999999926 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.672999999999944 Order of pole (three term test) 2.634944618281095e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3260000000000742 y[1] (closed_form) 0.07408353481585651 y[1] (numeric) 0.07408353481585231 absolute error 4.2049697057677804e-15 relative error 5.675984166008999e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6739999999999258 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.673999999999933 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3250000000000743 y[1] (closed_form) 0.07404322273127238 y[1] (numeric) 0.07404322273126816 absolute error 4.218847493575595e-15 relative error 5.697817218041958e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6749999999999257 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.674999999999937 Order of pole (three term test) 8.034987371714099e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3240000000000745 y[1] (closed_form) 0.07400294354108528 y[1] (numeric) 0.07400294354108107 absolute error 4.2049697057677804e-15 relative error 5.682165471476478e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6759999999999255 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.675999999999939 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3230000000000746 y[1] (closed_form) 0.07396269720951618 y[1] (numeric) 0.07396269720951194 absolute error 4.232725281383409e-15 relative error 5.722783837091895e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6769999999999254 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6769999999999303 Order of pole (three term test) 2.7224037685825168e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3220000000000747 y[1] (closed_form) 0.07392248370083457 y[1] (numeric) 0.07392248370083034 absolute error 4.232725281383409e-15 relative error 5.725897006536352e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6779999999999253 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6779999999999338 Order of pole (three term test) 5.4894063952031414e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.321000000000075 y[1] (closed_form) 0.07388230297935859 y[1] (numeric) 0.07388230297935434 absolute error 4.246603069191224e-15 relative error 5.747794665222671e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.678999999999925 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6789999999999274 Order of pole (three term test) 2.7671791463340125e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.320000000000075 y[1] (closed_form) 0.0738421550094548 y[1] (numeric) 0.07384215500945056 absolute error 4.246603069191224e-15 relative error 5.750919740421288e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.679999999999925 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6799999999999256 Order of pole (three term test) 2.7898329635385953e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.319000000000075 y[1] (closed_form) 0.07380203975553817 y[1] (numeric) 0.07380203975553393 absolute error 4.246603069191224e-15 relative error 5.754045664940521e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.680999999999925 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.680999999999935 Order of pole (three term test) 2.8126660079089457e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.318000000000075 y[1] (closed_form) 0.07376195718207201 y[1] (numeric) 0.07376195718206775 absolute error 4.260480856999038e-15 relative error 5.775986727795986e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.681999999999925 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.681999999999941 Order of pole (three term test) 5.6713592962880064e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.317000000000075 y[1] (closed_form) 0.07372190725356782 y[1] (numeric) 0.07372190725356356 absolute error 4.260480856999038e-15 relative error 5.779124571947166e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.682999999999925 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6829999999999274 Order of pole (three term test) 5.717750526037927e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3160000000000753 y[1] (closed_form) 0.07368188993458528 y[1] (numeric) 0.07368188993458102 absolute error 4.260480856999038e-15 relative error 5.782263268194518e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6839999999999247 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6839999999999318 Order of pole (three term test) 5.764508482913494e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3150000000000754 y[1] (closed_form) 0.07364190518973217 y[1] (numeric) 0.07364190518972791 absolute error 4.260480856999038e-15 relative error 5.785402816538041e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6849999999999246 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6849999999999214 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3140000000000756 y[1] (closed_form) 0.07360195298366427 y[1] (numeric) 0.07360195298365999 absolute error 4.288236432614667e-15 relative error 5.826253596241432e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6859999999999244 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.685999999999932 Order of pole (three term test) 2.929567895882534e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3130000000000757 y[1] (closed_form) 0.07356203328108524 y[1] (numeric) 0.07356203328108095 absolute error 4.288236432614667e-15 relative error 5.829415312963198e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6869999999999243 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.686999999999949 Order of pole (three term test) 8.86051620331279e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3120000000000758 y[1] (closed_form) 0.07352214604674663 y[1] (numeric) 0.07352214604674234 absolute error 4.288236432614667e-15 relative error 5.832577887332252e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6879999999999242 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6879999999999242 Order of pole (three term test) 2.9776319285024375e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.311000000000076 y[1] (closed_form) 0.07348229124544775 y[1] (numeric) 0.07348229124544346 absolute error 4.288236432614667e-15 relative error 5.835741319348591e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.688999999999924 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6889999999999405 Order of pole (three term test) 3.001948918826729e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.310000000000076 y[1] (closed_form) 0.07344246884203562 y[1] (numeric) 0.07344246884203132 absolute error 4.3021142204224816e-15 relative error 5.857801743669214e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.689999999999924 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6899999999999333 Order of pole (three term test) 6.052915646826353e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.309000000000076 y[1] (closed_form) 0.0734026788014048 y[1] (numeric) 0.0734026788014005 absolute error 4.3021142204224816e-15 relative error 5.8609771341753086e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.690999999999924 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6909999999999425 Order of pole (three term test) 6.10232020851859e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.308000000000076 y[1] (closed_form) 0.0733629210884975 y[1] (numeric) 0.07336292108849318 absolute error 4.315992008230296e-15 relative error 5.883070008927162e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.691999999999924 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6919999999999416 Order of pole (three term test) 6.15211446819858e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3070000000000763 y[1] (closed_form) 0.07332319566830327 y[1] (numeric) 0.07332319566829895 absolute error 4.315992008230296e-15 relative error 5.886257369025239e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6929999999999237 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.692999999999931 Order of pole (three term test) 3.1011506964800937e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3060000000000764 y[1] (closed_form) 0.07328350250585912 y[1] (numeric) 0.0732835025058548 absolute error 4.315992008230296e-15 relative error 5.8894455923217186e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6939999999999236 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.693999999999933 Order of pole (three term test) 6.25288397167549e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3050000000000765 y[1] (closed_form) 0.07324384156624934 y[1] (numeric) 0.07324384156624503 absolute error 4.315992008230296e-15 relative error 5.8926346788166e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6949999999999235 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.69499999999994 Order of pole (three term test) 3.1519326075743057e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3040000000000767 y[1] (closed_form) 0.07320421281460546 y[1] (numeric) 0.07320421281460114 absolute error 4.315992008230296e-15 relative error 5.895824628509882e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6959999999999233 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6959999999999398 Order of pole (three term test) 9.532872234406064e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3030000000000768 y[1] (closed_form) 0.07316461621610615 y[1] (numeric) 0.07316461621610182 absolute error 4.3298697960381105e-15 relative error 5.9179833367115395e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6969999999999232 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.69699999999993 Order of pole (three term test) 6.407035850175953e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.302000000000077 y[1] (closed_form) 0.07312505173597715 y[1] (numeric) 0.07312505173597281 absolute error 4.343747583845925e-15 relative error 5.940163433359765e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.697999999999923 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.697999999999936 Order of pole (three term test) 3.2296156871993266e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.301000000000077 y[1] (closed_form) 0.07308551933949119 y[1] (numeric) 0.07308551933948686 absolute error 4.3298697960381105e-15 relative error 5.924388080113839e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.698999999999923 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.69899999999992 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.300000000000077 y[1] (closed_form) 0.07304601899196798 y[1] (numeric) 0.07304601899196364 absolute error 4.343747583845925e-15 relative error 5.946590442284823e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.699999999999923 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6999999999999273 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299000000000077 y[1] (closed_form) 0.07300655065877401 y[1] (numeric) 0.07300655065876965 absolute error 4.3576253716537394e-15 relative error 5.968814212331281e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.700999999999923 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.70099999999992 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2980000000000773 y[1] (closed_form) 0.07296711430532256 y[1] (numeric) 0.0729671143053182 absolute error 4.3576253716537394e-15 relative error 5.972040162393915e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7019999999999227 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.701999999999939 Order of pole (three term test) 1.0008231177052235e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2970000000000774 y[1] (closed_form) 0.07292770989707362 y[1] (numeric) 0.07292770989706925 absolute error 4.371503159461554e-15 relative error 5.994296496669464e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7029999999999226 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.702999999999922 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2960000000000775 y[1] (closed_form) 0.07288833739953376 y[1] (numeric) 0.0728883373995294 absolute error 4.371503159461554e-15 relative error 5.997534469059677e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7039999999999225 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.703999999999921 Order of pole (three term test) 3.3905720803977744e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2950000000000776 y[1] (closed_form) 0.07284899677825617 y[1] (numeric) 0.0728489967782518 absolute error 4.371503159461554e-15 relative error 6.000773315750523e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7049999999999224 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.704999999999929 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2940000000000778 y[1] (closed_form) 0.07280968799884044 y[1] (numeric) 0.07280968799883605 absolute error 4.385380947269368e-15 relative error 6.023073395588798e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7059999999999222 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7059999999999347 Order of pole (three term test) 3.445927140978031e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.293000000000078 y[1] (closed_form) 0.07277041102693255 y[1] (numeric) 0.07277041102692816 absolute error 4.385380947269368e-15 relative error 6.026324278485009e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.706999999999922 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7069999999999275 Order of pole (three term test) 3.473931271603448e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.292000000000078 y[1] (closed_form) 0.07273116582822484 y[1] (numeric) 0.07273116582822045 absolute error 4.385380947269368e-15 relative error 6.0295760384574094e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.707999999999922 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7079999999999496 Order of pole (three term test) 7.004310677441723e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.291000000000078 y[1] (closed_form) 0.0726919523684559 y[1] (numeric) 0.07269195236845148 absolute error 4.413136522884997e-15 relative error 6.071011135477555e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.708999999999922 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7089999999999437 Order of pole (three term test) 7.061202019270117e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.290000000000078 y[1] (closed_form) 0.07265277061341041 y[1] (numeric) 0.072652770613406 absolute error 4.413136522884997e-15 relative error 6.074285241463883e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.709999999999922 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.70999999999993 Order of pole (three term test) 7.1185399276715e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2890000000000783 y[1] (closed_form) 0.07261362052891923 y[1] (numeric) 0.07261362052891482 absolute error 4.413136522884997e-15 relative error 6.0775602300775144e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7109999999999217 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.710999999999938 Order of pole (three term test) 3.5881638930832886e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2880000000000784 y[1] (closed_form) 0.0725745020808592 y[1] (numeric) 0.07257450208085478 absolute error 4.413136522884997e-15 relative error 6.080836101318452e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7119999999999216 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.711999999999916 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2870000000000785 y[1] (closed_form) 0.0725354152351531 y[1] (numeric) 0.07253541523514868 absolute error 4.413136522884997e-15 relative error 6.084112855186694e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7129999999999215 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7129999999999406 Order of pole (three term test) 7.293267011262913e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2860000000000786 y[1] (closed_form) 0.07249635995776958 y[1] (numeric) 0.07249635995776518 absolute error 4.399258735077183e-15 relative error 6.068247754287015e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7139999999999214 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.713999999999946 Order of pole (three term test) 1.1028637903756185e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2850000000000787 y[1] (closed_form) 0.07245733621472314 y[1] (numeric) 0.07245733621471873 absolute error 4.413136522884997e-15 relative error 6.090669010805091e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7149999999999213 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.714999999999955 Order of pole (three term test) 7.412047260136574e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.284000000000079 y[1] (closed_form) 0.07241834397207393 y[1] (numeric) 0.0724183439720695 absolute error 4.427014310692812e-15 relative error 6.113111772343157e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.715999999999921 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7159999999999407 Order of pole (three term test) 7.472136492999502e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.283000000000079 y[1] (closed_form) 0.07237938319592777 y[1] (numeric) 0.07237938319592334 absolute error 4.427014310692812e-15 relative error 6.116402372080294e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.716999999999921 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7169999999999255 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.282000000000079 y[1] (closed_form) 0.07234045385243608 y[1] (numeric) 0.07234045385243164 absolute error 4.440892098500626e-15 relative error 6.138877850503116e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.717999999999921 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7179999999999125 Order of pole (three term test) 3.796865423963223e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.281000000000079 y[1] (closed_form) 0.07230155590779576 y[1] (numeric) 0.0723015559077913 absolute error 4.454769886308441e-15 relative error 6.161374856150384e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.718999999999921 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.718999999999936 Order of pole (three term test) 7.655243116361929e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2800000000000793 y[1] (closed_form) 0.07226268932824913 y[1] (numeric) 0.07226268932824467 absolute error 4.454769886308441e-15 relative error 6.1646887594688085e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7199999999999207 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7199999999999296 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2790000000000794 y[1] (closed_form) 0.07222385408008387 y[1] (numeric) 0.07222385408007943 absolute error 4.440892098500626e-15 relative error 6.148788589399339e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7209999999999206 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7209999999999503 Order of pole (three term test) 1.1669573845295385e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2780000000000795 y[1] (closed_form) 0.072185050129633 y[1] (numeric) 0.07218505012962854 absolute error 4.454769886308441e-15 relative error 6.17131923896759e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7219999999999205 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.721999999999926 Order of pole (three term test) 3.9213418563390285e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2770000000000796 y[1] (closed_form) 0.07214627744327465 y[1] (numeric) 0.0721462774432702 absolute error 4.454769886308441e-15 relative error 6.174635815147947e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7229999999999204 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.722999999999931 Order of pole (three term test) 3.9530720295310944e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2760000000000797 y[1] (closed_form) 0.07210753598743214 y[1] (numeric) 0.0721075359874277 absolute error 4.440892098500626e-15 relative error 6.158707321901339e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7239999999999203 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.723999999999923 Order of pole (three term test) 3.985050327356239e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27500000000008 y[1] (closed_form) 0.07206882572857388 y[1] (numeric) 0.07206882572856942 absolute error 4.468647674116255e-15 relative error 6.20052793831567e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.72499999999992 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7249999999999193 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27400000000008 y[1] (closed_form) 0.0720301466332132 y[1] (numeric) 0.07203014663320874 absolute error 4.454769886308441e-15 relative error 6.184590889412879e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.72599999999992 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7259999999999462 Order of pole (three term test) 4.0497588020608546e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27300000000008 y[1] (closed_form) 0.0719914986679084 y[1] (numeric) 0.07199149866790394 absolute error 4.454769886308441e-15 relative error 6.187911029409144e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.72699999999992 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7269999999999257 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27200000000008 y[1] (closed_form) 0.07195288179926261 y[1] (numeric) 0.07195288179925816 absolute error 4.454769886308441e-15 relative error 6.191232060359387e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.72799999999992 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7279999999999105 Order of pole (three term test) 4.11548242761858e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2710000000000803 y[1] (closed_form) 0.07191429599392375 y[1] (numeric) 0.07191429599391928 absolute error 4.468647674116255e-15 relative error 6.2138516582208125e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7289999999999197 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7289999999999264 Order of pole (three term test) 4.148729715835173e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2700000000000804 y[1] (closed_form) 0.07187574121858442 y[1] (numeric) 0.07187574121857994 absolute error 4.4825254619240695e-15 relative error 6.2364928499200695e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7299999999999196 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.729999999999935 Order of pole (three term test) 8.364473144635103e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2690000000000805 y[1] (closed_form) 0.07183721743998184 y[1] (numeric) 0.07183721743997737 absolute error 4.468647674116255e-15 relative error 6.220518880550595e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7309999999999195 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7309999999999457 Order of pole (three term test) 8.432009906323572e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2680000000000806 y[1] (closed_form) 0.07179872462489784 y[1] (numeric) 0.07179872462489337 absolute error 4.468647674116255e-15 relative error 6.223853832309787e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7319999999999194 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7319999999999274 Order of pole (three term test) 8.500073657349281e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2670000000000807 y[1] (closed_form) 0.07176026274015869 y[1] (numeric) 0.07176026274015421 absolute error 4.4825254619240695e-15 relative error 6.246528776176771e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7329999999999193 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7329999999999353 Order of pole (three term test) 4.2843341834731736e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.266000000000081 y[1] (closed_form) 0.07172183175263508 y[1] (numeric) 0.0717218317526306 absolute error 4.4825254619240695e-15 relative error 6.24987587793919e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.733999999999919 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7339999999999374 Order of pole (three term test) 4.3188990165845436e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.265000000000081 y[1] (closed_form) 0.07168343162924207 y[1] (numeric) 0.07168343162923757 absolute error 4.496403249731884e-15 relative error 6.272583702448825e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.734999999999919 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.734999999999934 Order of pole (three term test) 4.353733341546898e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.264000000000081 y[1] (closed_form) 0.07164506233693894 y[1] (numeric) 0.07164506233693445 absolute error 4.496403249731884e-15 relative error 6.2759429653166995e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.735999999999919 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.735999999999937 Order of pole (three term test) 4.388839186510757e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.263000000000081 y[1] (closed_form) 0.07160672384272926 y[1] (numeric) 0.07160672384272475 absolute error 4.5102810375396984e-15 relative error 6.2986836926734486e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.736999999999919 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7369999999999357 Order of pole (three term test) 4.4242185943410495e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2620000000000813 y[1] (closed_form) 0.07156841611366062 y[1] (numeric) 0.07156841611365612 absolute error 4.496403249731884e-15 relative error 6.282664188894399e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7379999999999187 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7379999999999334 Order of pole (three term test) 8.919747245439895e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2610000000000814 y[1] (closed_form) 0.07153013911682476 y[1] (numeric) 0.07153013911682027 absolute error 4.496403249731884e-15 relative error 6.286026149604223e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7389999999999186 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7389999999999355 Order of pole (three term test) 4.4958063442502904e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2600000000000815 y[1] (closed_form) 0.0714918928193574 y[1] (numeric) 0.07149189281935289 absolute error 4.5102810375396984e-15 relative error 6.308800704068754e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7399999999999185 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7399999999999207 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2590000000000816 y[1] (closed_form) 0.0714536771884381 y[1] (numeric) 0.0714536771884336 absolute error 4.5102810375396984e-15 relative error 6.312174845312937e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7409999999999184 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.740999999999915 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2580000000000817 y[1] (closed_form) 0.07141549219129038 y[1] (numeric) 0.07141549219128585 absolute error 4.538036613155327e-15 relative error 6.3544148110047924e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7419999999999183 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.741999999999917 Order of pole (three term test) 4.605291619780789e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.257000000000082 y[1] (closed_form) 0.07137733779518142 y[1] (numeric) 0.0713773377951769 absolute error 4.524158825347513e-15 relative error 6.338368682689834e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.742999999999918 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7429999999999364 Order of pole (three term test) 6.96353421302878e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.256000000000082 y[1] (closed_form) 0.07133921396742221 y[1] (numeric) 0.07133921396741769 absolute error 4.524158825347513e-15 relative error 6.34175592040237e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.743999999999918 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7439999999999363 Order of pole (three term test) 7.019563421855224e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.255000000000082 y[1] (closed_form) 0.07130112067536734 y[1] (numeric) 0.0713011206753628 absolute error 4.538036613155327e-15 relative error 6.364607695041601e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.744999999999918 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7449999999999255 Order of pole (three term test) 2.3586761008862748e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.254000000000082 y[1] (closed_form) 0.07126305788641495 y[1] (numeric) 0.07126305788641041 absolute error 4.538036613155327e-15 relative error 6.368007138268514e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.745999999999918 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7459999999999445 Order of pole (three term test) 9.51057616725983e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2530000000000823 y[1] (closed_form) 0.07122502556800668 y[1] (numeric) 0.07122502556800214 absolute error 4.538036613155327e-15 relative error 6.371407489102752e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7469999999999177 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7469999999999164 Order of pole (three term test) 2.3967593946263643e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2520000000000824 y[1] (closed_form) 0.07118702368762764 y[1] (numeric) 0.0711870236876231 absolute error 4.538036613155327e-15 relative error 6.374808747544312e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7479999999999176 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7479999999999336 Order of pole (three term test) 2.4160232651509904e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2510000000000825 y[1] (closed_form) 0.07114905221280624 y[1] (numeric) 0.07114905221280171 absolute error 4.524158825347513e-15 relative error 6.358705681441533e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7489999999999175 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7489999999999286 Order of pole (three term test) 4.8708735344327425e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2500000000000826 y[1] (closed_form) 0.07111111111111425 y[1] (numeric) 0.07111111111110971 absolute error 4.538036613155327e-15 relative error 6.381613987249398e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7499999999999174 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7499999999999325 Order of pole (three term test) 4.910002045405801e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2490000000000827 y[1] (closed_form) 0.07107320035016658 y[1] (numeric) 0.07107320035016204 absolute error 4.538036613155327e-15 relative error 6.3850179685129255e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7509999999999173 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.750999999999929 Order of pole (three term test) 2.4747171615997967e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.248000000000083 y[1] (closed_form) 0.07103531989762135 y[1] (numeric) 0.07103531989761681 absolute error 4.538036613155327e-15 relative error 6.388422857383775e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.751999999999917 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7519999999999185 Order of pole (three term test) 2.4945863220615706e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.247000000000083 y[1] (closed_form) 0.07099746972117975 y[1] (numeric) 0.07099746972117521 absolute error 4.538036613155327e-15 relative error 6.391828653861947e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.752999999999917 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7529999999999353 Order of pole (three term test) 5.02921930092967e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.246000000000083 y[1] (closed_form) 0.07095964978858596 y[1] (numeric) 0.07095964978858142 absolute error 4.538036613155327e-15 relative error 6.395235357947443e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.753999999999917 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7539999999999396 Order of pole (three term test) 1.0139153205861664e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.245000000000083 y[1] (closed_form) 0.07092186006762714 y[1] (numeric) 0.07092186006762259 absolute error 4.551914400963142e-15 relative error 6.418210685143747e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.754999999999917 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.754999999999917 Order of pole (three term test) 2.5551234380559792e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2440000000000833 y[1] (closed_form) 0.07088410052613328 y[1] (numeric) 0.07088410052612874 absolute error 4.538036613155327e-15 relative error 6.402051488940402e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7559999999999167 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7559999999999305 Order of pole (three term test) 2.5756162316240143e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2430000000000834 y[1] (closed_form) 0.07084637113197725 y[1] (numeric) 0.0708463711319727 absolute error 4.551914400963142e-15 relative error 6.425049481339754e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7569999999999166 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7569999999999353 Order of pole (three term test) 7.788803586030164e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2420000000000835 y[1] (closed_form) 0.07080867185307457 y[1] (numeric) 0.07080867185307003 absolute error 4.538036613155327e-15 relative error 6.408871250362652e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7579999999999165 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7579999999999107 Order of pole (three term test) 2.617079517566481e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2410000000000836 y[1] (closed_form) 0.07077100265738352 y[1] (numeric) 0.07077100265737897 absolute error 4.551914400963142e-15 relative error 6.431891919067281e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7589999999999164 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7589999999999213 Order of pole (three term test) 2.6380523952166807e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2400000000000837 y[1] (closed_form) 0.07073336351290492 y[1] (numeric) 0.07073336351290035 absolute error 4.565792188770956e-15 relative error 6.45493436479654e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7599999999999163 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.759999999999914 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239000000000084 y[1] (closed_form) 0.07069575438768212 y[1] (numeric) 0.07069575438767756 absolute error 4.565792188770956e-15 relative error 6.458368297101714e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.760999999999916 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7609999999999264 Order of pole (three term test) 2.6804866477039636e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.238000000000084 y[1] (closed_form) 0.070658175249801 y[1] (numeric) 0.07065817524979642 absolute error 4.579669976578771e-15 relative error 6.4814438816004785e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.761999999999916 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7619999999999303 Order of pole (three term test) 5.4039009195602206e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.237000000000084 y[1] (closed_form) 0.07062062606738978 y[1] (numeric) 0.0706206260673852 absolute error 4.579669976578771e-15 relative error 6.484890083257853e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.762999999999916 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7629999999999377 Order of pole (three term test) 8.170741105647424e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.236000000000084 y[1] (closed_form) 0.07058310680861903 y[1] (numeric) 0.07058310680861446 absolute error 4.565792188770956e-15 relative error 6.468675572967864e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.763999999999916 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7639999999999243 Order of pole (three term test) 2.745377614689838e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2350000000000843 y[1] (closed_form) 0.07054561744170161 y[1] (numeric) 0.07054561744169703 absolute error 4.579669976578771e-15 relative error 6.4917852343745896e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7649999999999157 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7649999999999233 Order of pole (three term test) 5.534686895630039e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2340000000000844 y[1] (closed_form) 0.07050815793489254 y[1] (numeric) 0.07050815793488796 absolute error 4.579669976578771e-15 relative error 6.495234183833952e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7659999999999156 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7659999999999205 Order of pole (three term test) 2.789479126533474e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2330000000000845 y[1] (closed_form) 0.070470728256489 y[1] (numeric) 0.0704707282564844 absolute error 4.593547764386585e-15 relative error 6.5183770311946625e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7669999999999155 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7669999999999315 Order of pole (three term test) 5.62357183702461e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2320000000000846 y[1] (closed_form) 0.07043332837483017 y[1] (numeric) 0.07043332837482559 absolute error 4.579669976578771e-15 relative error 6.50213483055466e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7679999999999154 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.767999999999914 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2310000000000847 y[1] (closed_form) 0.07039595825829735 y[1] (numeric) 0.07039595825829274 absolute error 4.6074255521944e-15 relative error 6.545014324954284e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7689999999999153 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7689999999999224 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.230000000000085 y[1] (closed_form) 0.07035861787531363 y[1] (numeric) 0.07035861787530902 absolute error 4.6074255521944e-15 relative error 6.548487863078084e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.769999999999915 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.769999999999929 Order of pole (three term test) 5.759491575755383e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.229000000000085 y[1] (closed_form) 0.07032130719434405 y[1] (numeric) 0.07032130719433943 absolute error 4.621303340002214e-15 relative error 6.5716971489601454e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.770999999999915 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7709999999999293 Order of pole (three term test) 5.805499785881633e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.228000000000085 y[1] (closed_form) 0.07028402618389543 y[1] (numeric) 0.0702840261838908 absolute error 4.621303340002214e-15 relative error 6.5751829980695095e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.771999999999915 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.771999999999929 Order of pole (three term test) 2.925931587685933e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.227000000000085 y[1] (closed_form) 0.07024677481251627 y[1] (numeric) 0.07024677481251167 absolute error 4.6074255521944e-15 relative error 6.558914006360144e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.772999999999915 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.772999999999908 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2260000000000852 y[1] (closed_form) 0.07020955304879685 y[1] (numeric) 0.07020955304879223 absolute error 4.621303340002214e-15 relative error 6.58215746907024e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7739999999999148 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7739999999999223 Order of pole (three term test) 5.945666098255193e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2250000000000854 y[1] (closed_form) 0.07017236086136891 y[1] (numeric) 0.07017236086136429 absolute error 4.621303340002214e-15 relative error 6.585646090961606e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7749999999999146 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7749999999999235 Order of pole (three term test) 2.99655549110893e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2240000000000855 y[1] (closed_form) 0.07013519821890579 y[1] (numeric) 0.07013519821890117 absolute error 4.621303340002214e-15 relative error 6.589135637113642e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7759999999999145 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7759999999999194 Order of pole (three term test) 6.040921746947504e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2230000000000856 y[1] (closed_form) 0.0700980650901223 y[1] (numeric) 0.07009806509011768 absolute error 4.621303340002214e-15 relative error 6.5926261075263465e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7769999999999144 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7769999999999224 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2220000000000857 y[1] (closed_form) 0.07006096144377463 y[1] (numeric) 0.07006096144377001 absolute error 4.621303340002214e-15 relative error 6.596117502199717e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7779999999999143 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.777999999999916 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.221000000000086 y[1] (closed_form) 0.07002388724866032 y[1] (numeric) 0.07002388724865569 absolute error 4.6351811278100286e-15 relative error 6.619428469245268e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.778999999999914 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7789999999999297 Order of pole (three term test) 6.186576659035842e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.220000000000086 y[1] (closed_form) 0.06998684247361815 y[1] (numeric) 0.0699868424736135 absolute error 4.649058915617843e-15 relative error 6.642761340991095e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.779999999999914 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.779999999999921 Order of pole (three term test) 3.1179391891966226e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.219000000000086 y[1] (closed_form) 0.06994982708752812 y[1] (numeric) 0.06994982708752347 absolute error 4.649058915617843e-15 relative error 6.646276494437195e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.780999999999914 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.780999999999919 Order of pole (three term test) 3.1427798965178194e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.218000000000086 y[1] (closed_form) 0.06991284105931138 y[1] (numeric) 0.06991284105930672 absolute error 4.6629367034256575e-15 relative error 6.6696427047926725e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.781999999999914 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.781999999999922 Order of pole (three term test) 3.167811862793858e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2170000000000862 y[1] (closed_form) 0.0698758843579301 y[1] (numeric) 0.06987588435792545 absolute error 4.649058915617843e-15 relative error 6.653309590764742e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7829999999999138 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.782999999999919 Order of pole (three term test) 3.193036509451276e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2160000000000863 y[1] (closed_form) 0.06983895695238755 y[1] (numeric) 0.06983895695238289 absolute error 4.6629367034256575e-15 relative error 6.6766986606122955e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7839999999999137 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.783999999999919 Order of pole (three term test) 3.218455268100609e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2150000000000865 y[1] (closed_form) 0.06980205881172784 y[1] (numeric) 0.06980205881172317 absolute error 4.6629367034256575e-15 relative error 6.680228037403119e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7849999999999135 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7849999999999144 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2140000000000866 y[1] (closed_form) 0.06976518990503602 y[1] (numeric) 0.06976518990503135 absolute error 4.676814491233472e-15 relative error 6.703650484718131e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7859999999999134 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7859999999999223 Order of pole (three term test) 3.269880899158975e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2130000000000867 y[1] (closed_form) 0.06972835020143794 y[1] (numeric) 0.06972835020143325 absolute error 4.690692279041286e-15 relative error 6.727094883917897e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7869999999999133 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.786999999999934 Order of pole (three term test) 3.2958906863435026e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.212000000000087 y[1] (closed_form) 0.06969153967010017 y[1] (numeric) 0.06969153967009549 absolute error 4.676814491233472e-15 relative error 6.710734923309451e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.787999999999913 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7879999999999336 Order of pole (three term test) 3.322100415213742e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.211000000000087 y[1] (closed_form) 0.06965475828022999 y[1] (numeric) 0.06965475828022531 absolute error 4.676814491233472e-15 relative error 6.714278545649459e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.788999999999913 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7889999999999353 Order of pole (three term test) 6.697023138726307e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.210000000000087 y[1] (closed_form) 0.06961800600107532 y[1] (numeric) 0.06961800600107063 absolute error 4.690692279041286e-15 relative error 6.737757296537384e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.789999999999913 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.789999999999924 Order of pole (three term test) 6.750251285995314e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209000000000087 y[1] (closed_form) 0.06958128280192456 y[1] (numeric) 0.06958128280191987 absolute error 4.690692279041286e-15 relative error 6.741313310354125e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.790999999999913 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7909999999999258 Order of pole (three term test) 3.401944141008788e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2080000000000872 y[1] (closed_form) 0.06954458865210666 y[1] (numeric) 0.06954458865210199 absolute error 4.676814491233472e-15 relative error 6.72491502484687e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7919999999999128 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.791999999999925 Order of pole (three term test) 3.4289685790471694e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2070000000000873 y[1] (closed_form) 0.06950792352099101 y[1] (numeric) 0.06950792352098632 absolute error 4.690692279041286e-15 relative error 6.748428152402975e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7929999999999127 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7929999999999215 Order of pole (three term test) 3.4562004835966395e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2060000000000874 y[1] (closed_form) 0.0694712873779873 y[1] (numeric) 0.06947128737798261 absolute error 4.690692279041286e-15 relative error 6.751986980635082e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7939999999999126 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7939999999999303 Order of pole (three term test) 6.967282784097564e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2050000000000876 y[1] (closed_form) 0.06943468019254556 y[1] (numeric) 0.06943468019254087 absolute error 4.690692279041286e-15 relative error 6.755546747005647e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7949999999999124 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.794999999999911 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2040000000000877 y[1] (closed_form) 0.06939810193415608 y[1] (numeric) 0.06939810193415136 absolute error 4.718447854656915e-15 relative error 6.7991021701626805e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7959999999999123 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.795999999999907 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2030000000000878 y[1] (closed_form) 0.06936155257234922 y[1] (numeric) 0.0693615525723445 absolute error 4.718447854656915e-15 relative error 6.8026848876187225e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7969999999999122 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.796999999999921 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.202000000000088 y[1] (closed_form) 0.06932503207669555 y[1] (numeric) 0.06932503207669083 absolute error 4.718447854656915e-15 relative error 6.806268548764335e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.797999999999912 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7979999999999268 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.201000000000088 y[1] (closed_form) 0.06928854041680566 y[1] (numeric) 0.06928854041680092 absolute error 4.73232564246473e-15 relative error 6.829882133463044e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.798999999999912 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7989999999999275 Order of pole (three term test) 3.624035574591834e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.200000000000088 y[1] (closed_form) 0.06925207756233008 y[1] (numeric) 0.06925207756232535 absolute error 4.73232564246473e-15 relative error 6.833478227718753e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.799999999999912 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7999999999999194 Order of pole (three term test) 3.6527634120332306e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199000000000088 y[1] (closed_form) 0.0692156434829593 y[1] (numeric) 0.06921564348295457 absolute error 4.73232564246473e-15 relative error 6.83707526843959e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.800999999999912 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8009999999999224 Order of pole (three term test) 3.6817113269007725e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1980000000000883 y[1] (closed_form) 0.06917923814842367 y[1] (numeric) 0.06917923814841893 absolute error 4.73232564246473e-15 relative error 6.840673255625557e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8019999999999117 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8019999999999303 Order of pole (three term test) 3.710880946591265e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1970000000000884 y[1] (closed_form) 0.06914286152849329 y[1] (numeric) 0.06914286152848854 absolute error 4.746203430272544e-15 relative error 6.864343368717344e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8029999999999116 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8029999999999267 Order of pole (three term test) 7.480547820205427e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1960000000000885 y[1] (closed_form) 0.06910651359297802 y[1] (numeric) 0.06910651359297326 absolute error 4.760081218080359e-15 relative error 6.888035541940629e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8039999999999115 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.803999999999905 Order of pole (three term test) 3.7698918681139234e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1950000000000887 y[1] (closed_form) 0.06907019431172737 y[1] (numeric) 0.06907019431172261 absolute error 4.760081218080359e-15 relative error 6.891657487739467e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8049999999999113 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8049999999999202 Order of pole (three term test) 3.799736483064718e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1940000000000888 y[1] (closed_form) 0.06903390365463047 y[1] (numeric) 0.06903390365462571 absolute error 4.760081218080359e-15 relative error 6.895280385554548e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8059999999999112 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8059999999999095 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.193000000000089 y[1] (closed_form) 0.06899764159161598 y[1] (numeric) 0.06899764159161122 absolute error 4.760081218080359e-15 relative error 6.898904235385871e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.806999999999911 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.806999999999906 Order of pole (three term test) 3.860112392833316e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.192000000000089 y[1] (closed_form) 0.06896140809265204 y[1] (numeric) 0.06896140809264728 absolute error 4.760081218080359e-15 relative error 6.902529037233441e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.807999999999911 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8079999999999274 Order of pole (three term test) 3.890647072064159e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.191000000000089 y[1] (closed_form) 0.06892520312774623 y[1] (numeric) 0.06892520312774146 absolute error 4.773959005888173e-15 relative error 6.926289353170421e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.808999999999911 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.808999999999915 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.190000000000089 y[1] (closed_form) 0.06888902666694545 y[1] (numeric) 0.06888902666694068 absolute error 4.773959005888173e-15 relative error 6.929926632537006e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.809999999999911 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8099999999999175 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1890000000000893 y[1] (closed_form) 0.0688528786803359 y[1] (numeric) 0.06885287868033113 absolute error 4.773959005888173e-15 relative error 6.933564866695394e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8109999999999107 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.810999999999918 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1880000000000894 y[1] (closed_form) 0.06881675913804304 y[1] (numeric) 0.06881675913803827 absolute error 4.773959005888173e-15 relative error 6.937204055645582e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8119999999999106 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.811999999999927 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1870000000000895 y[1] (closed_form) 0.06878066801023147 y[1] (numeric) 0.06878066801022668 absolute error 4.7878367936959876e-15 relative error 6.961021072060209e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8129999999999105 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8129999999999136 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1860000000000896 y[1] (closed_form) 0.0687446052671049 y[1] (numeric) 0.0687446052671001 absolute error 4.7878367936959876e-15 relative error 6.96467275518276e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8139999999999104 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8139999999999206 Order of pole (three term test) 4.078817808876049e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1850000000000898 y[1] (closed_form) 0.0687085708789061 y[1] (numeric) 0.0687085708789013 absolute error 4.801714581503802e-15 relative error 6.988523440498388e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8149999999999102 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8149999999999324 Order of pole (three term test) 8.222046146377722e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18400000000009 y[1] (closed_form) 0.06867256481591681 y[1] (numeric) 0.06867256481591201 absolute error 4.801714581503802e-15 relative error 6.992187628895533e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.81599999999991 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8159999999999092 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18300000000009 y[1] (closed_form) 0.06863658704845771 y[1] (numeric) 0.06863658704845291 absolute error 4.801714581503802e-15 relative error 6.995852777635595e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.81699999999991 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.816999999999915 Order of pole (three term test) 8.352345284402903e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18200000000009 y[1] (closed_form) 0.06860063754688835 y[1] (numeric) 0.06860063754688353 absolute error 4.8155923693116165e-15 relative error 7.019748710090591e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.81799999999991 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8179999999999263 Order of pole (three term test) 4.209120579789554e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18100000000009 y[1] (closed_form) 0.06856471628160703 y[1] (numeric) 0.06856471628160221 absolute error 4.8155923693116165e-15 relative error 7.023426377983035e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.81899999999991 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8189999999999276 Order of pole (three term test) 4.2423197295324414e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1800000000000903 y[1] (closed_form) 0.06852882322305086 y[1] (numeric) 0.06852882322304603 absolute error 4.829470157119431e-15 relative error 7.047356032074624e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8199999999999097 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8199999999999092 Order of pole (three term test) 4.275771940268721e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1790000000000904 y[1] (closed_form) 0.06849295834169557 y[1] (numeric) 0.06849295834169074 absolute error 4.829470157119431e-15 relative error 7.05104623022168e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8209999999999096 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.820999999999916 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1780000000000905 y[1] (closed_form) 0.06845712160805555 y[1] (numeric) 0.06845712160805072 absolute error 4.829470157119431e-15 relative error 7.054737394262767e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8219999999999095 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.821999999999924 Order of pole (three term test) 4.3434430057529204e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1770000000000906 y[1] (closed_form) 0.06842131299268372 y[1] (numeric) 0.0684213129926789 absolute error 4.829470157119431e-15 relative error 7.058429524197884e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8229999999999094 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.822999999999921 Order of pole (three term test) 4.377665624124224e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1760000000000908 y[1] (closed_form) 0.06838553246617156 y[1] (numeric) 0.06838553246616672 absolute error 4.8433479449272454e-15 relative error 7.082416075831706e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8239999999999092 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8239999999999332 Order of pole (three term test) 4.412148830916778e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.175000000000091 y[1] (closed_form) 0.06834977999914887 y[1] (numeric) 0.06834977999914403 absolute error 4.8433479449272454e-15 relative error 7.086120752674781e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.824999999999909 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.824999999999907 Order of pole (three term test) 4.446894541458223e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.174000000000091 y[1] (closed_form) 0.06831405556228395 y[1] (numeric) 0.0683140555622791 absolute error 4.85722573273506e-15 relative error 7.1101410870074645e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.825999999999909 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.825999999999911 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.173000000000091 y[1] (closed_form) 0.06827835912628333 y[1] (numeric) 0.06827835912627847 absolute error 4.85722573273506e-15 relative error 7.113858321860727e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.826999999999909 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.82699999999991 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.172000000000091 y[1] (closed_form) 0.06824269066189183 y[1] (numeric) 0.06824269066188698 absolute error 4.8433479449272454e-15 relative error 7.097240595221539e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.827999999999909 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8279999999999275 Order of pole (three term test) 9.105452105958966e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1710000000000913 y[1] (closed_form) 0.0682070501398925 y[1] (numeric) 0.06820705013988765 absolute error 4.85722573273506e-15 relative error 7.12129570590269e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8289999999999087 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.828999999999903 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1700000000000914 y[1] (closed_form) 0.06817143753110648 y[1] (numeric) 0.06817143753110161 absolute error 4.871103520542874e-15 relative error 7.1453730432487954e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8299999999999086 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8299999999999104 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1690000000000915 y[1] (closed_form) 0.06813585280639298 y[1] (numeric) 0.06813585280638812 absolute error 4.85722573273506e-15 relative error 7.12873697572524e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8309999999999085 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.830999999999925 Order of pole (three term test) 4.660990363490829e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1680000000000916 y[1] (closed_form) 0.06810029593664928 y[1] (numeric) 0.06810029593664442 absolute error 4.85722573273506e-15 relative error 7.132459067804235e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8319999999999084 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8319999999999292 Order of pole (three term test) 9.395256762369337e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1670000000000917 y[1] (closed_form) 0.06806476689281057 y[1] (numeric) 0.06806476689280572 absolute error 4.85722573273506e-15 relative error 7.1361821313283756e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8329999999999083 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.832999999999924 Order of pole (three term test) 4.734544721670767e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.166000000000092 y[1] (closed_form) 0.06802926564584998 y[1] (numeric) 0.06802926564584512 absolute error 4.85722573273506e-15 relative error 7.139906166297663e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.833999999999908 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.833999999999937 Order of pole (three term test) 7.157612138704734e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.165000000000092 y[1] (closed_form) 0.06799379216677842 y[1] (numeric) 0.06799379216677358 absolute error 4.8433479449272454e-15 relative error 7.12322079793292e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.834999999999908 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8349999999999245 Order of pole (three term test) 2.4046102744312532e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.164000000000092 y[1] (closed_form) 0.06795834642664467 y[1] (numeric) 0.06795834642663981 absolute error 4.85722573273506e-15 relative error 7.147357150571678e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.835999999999908 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8359999999999177 Order of pole (three term test) 2.4234920803272307e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.163000000000092 y[1] (closed_form) 0.06792292839653515 y[1] (numeric) 0.06792292839653027 absolute error 4.871103520542874e-15 relative error 7.171515768733194e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.836999999999908 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8369999999999216 Order of pole (three term test) 2.4425171728041687e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1620000000000923 y[1] (closed_form) 0.06788753804757397 y[1] (numeric) 0.06788753804756908 absolute error 4.884981308350689e-15 relative error 7.195696660744142e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8379999999999077 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8379999999999024 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1610000000000924 y[1] (closed_form) 0.06785217535092285 y[1] (numeric) 0.06785217535091796 absolute error 4.884981308350689e-15 relative error 7.199446860894562e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8389999999999076 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.838999999999918 Order of pole (three term test) 2.4810014232175066e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1600000000000925 y[1] (closed_form) 0.06781684027778105 y[1] (numeric) 0.06781684027777617 absolute error 4.884981308350689e-15 relative error 7.203198038041244e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8399999999999075 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8399999999999177 Order of pole (three term test) 2.5004627025917218e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1590000000000926 y[1] (closed_form) 0.06778153279938533 y[1] (numeric) 0.06778153279938044 absolute error 4.884981308350689e-15 relative error 7.2069501921841875e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8409999999999074 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.840999999999909 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1580000000000927 y[1] (closed_form) 0.06774625288700983 y[1] (numeric) 0.06774625288700496 absolute error 4.871103520542874e-15 relative error 7.190218370700316e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8419999999999073 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.841999999999921 Order of pole (three term test) 5.079657859079255e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.157000000000093 y[1] (closed_form) 0.06771100051196614 y[1] (numeric) 0.06771100051196127 absolute error 4.871103520542874e-15 relative error 7.193961813755852e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.842999999999907 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8429999999999334 Order of pole (three term test) 1.2798680218907128e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.156000000000093 y[1] (closed_form) 0.0676757756456031 y[1] (numeric) 0.06767577564559822 absolute error 4.884981308350689e-15 relative error 7.218212516590589e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.843999999999907 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8439999999999213 Order of pole (three term test) 5.1595878981150124e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.155000000000093 y[1] (closed_form) 0.06764057825930682 y[1] (numeric) 0.06764057825930193 absolute error 4.884981308350689e-15 relative error 7.2219685787185785e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.844999999999907 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.84499999999992 Order of pole (three term test) 7.800011243686086e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.154000000000093 y[1] (closed_form) 0.06760540832450057 y[1] (numeric) 0.0676054083244957 absolute error 4.871103520542874e-15 relative error 7.205197988246688e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.845999999999907 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.845999999999927 Order of pole (three term test) 5.240733101187608e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1530000000000933 y[1] (closed_form) 0.06757026581264484 y[1] (numeric) 0.06757026581263996 absolute error 4.884981308350689e-15 relative error 7.229483633963346e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8469999999999067 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.846999999999915 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1520000000000934 y[1] (closed_form) 0.06753515069523713 y[1] (numeric) 0.06753515069523224 absolute error 4.898859096158503e-15 relative error 7.253791611816144e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8479999999999066 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8479999999999173 Order of pole (three term test) 2.6615556479410758e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1510000000000935 y[1] (closed_form) 0.06750006294381199 y[1] (numeric) 0.06750006294380707 absolute error 4.912736883966318e-15 relative error 7.278121930131753e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8489999999999065 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8489999999999243 Order of pole (three term test) 5.364768405041114e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1500000000000936 y[1] (closed_form) 0.06746500252994088 y[1] (numeric) 0.06746500252993597 absolute error 4.912736883966318e-15 relative error 7.281904246258719e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8499999999999064 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8499999999999166 Order of pole (three term test) 2.7033702809290868e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1490000000000937 y[1] (closed_form) 0.06742996942523224 y[1] (numeric) 0.06742996942522733 absolute error 4.912736883966318e-15 relative error 7.285687544933062e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8509999999999063 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8509999999999205 Order of pole (three term test) 5.4490300662401996e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.148000000000094 y[1] (closed_form) 0.06739496360133133 y[1] (numeric) 0.06739496360132642 absolute error 4.912736883966318e-15 relative error 7.289471826154782e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.851999999999906 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8519999999999186 Order of pole (three term test) 5.491639234279939e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.147000000000094 y[1] (closed_form) 0.0673599850299202 y[1] (numeric) 0.06735998502991529 absolute error 4.912736883966318e-15 relative error 7.293257089923878e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.852999999999906 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8529999999999247 Order of pole (three term test) 5.5345703983657386e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.146000000000094 y[1] (closed_form) 0.06732503368271764 y[1] (numeric) 0.06732503368271271 absolute error 4.926614671774132e-15 relative error 7.31765645300939e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.853999999999906 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.853999999999925 Order of pole (three term test) 5.577825907291821e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.145000000000094 y[1] (closed_form) 0.06729010953147908 y[1] (numeric) 0.06729010953147414 absolute error 4.9404924595819466e-15 relative error 7.342078195415521e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.854999999999906 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.854999999999944 Order of pole (three term test) 1.1242816252739049e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1440000000000943 y[1] (closed_form) 0.06725521254799662 y[1] (numeric) 0.06725521254799167 absolute error 4.9404924595819466e-15 relative error 7.345887809151103e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8559999999999057 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8559999999999066 Order of pole (three term test) 5.6653194375388956e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1430000000000944 y[1] (closed_form) 0.06722034270409886 y[1] (numeric) 0.06722034270409394 absolute error 4.926614671774132e-15 relative error 7.329053190729603e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8569999999999056 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.856999999999936 Order of pole (three term test) 8.564343359222476e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1420000000000945 y[1] (closed_form) 0.067185499971651 y[1] (numeric) 0.06718549997164608 absolute error 4.926614671774132e-15 relative error 7.332854073948876e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8579999999999055 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8579999999999015 Order of pole (three term test) 2.877069473866916e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1410000000000946 y[1] (closed_form) 0.06715068432255462 y[1] (numeric) 0.06715068432254968 absolute error 4.9404924595819466e-15 relative error 7.357322578948804e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8589999999999054 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8589999999999174 Order of pole (three term test) 2.8995259974002695e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1400000000000947 y[1] (closed_form) 0.0671158957287477 y[1] (numeric) 0.06711589572874274 absolute error 4.954370247389761e-15 relative error 7.381813493800486e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8599999999999053 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.859999999999915 Order of pole (three term test) 5.844303830270049e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.139000000000095 y[1] (closed_form) 0.06708113416220454 y[1] (numeric) 0.06708113416219959 absolute error 4.954370247389761e-15 relative error 7.385638763068495e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.860999999999905 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8609999999999194 Order of pole (three term test) 5.889896920929723e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.138000000000095 y[1] (closed_form) 0.06704639959493577 y[1] (numeric) 0.06704639959493082 absolute error 4.954370247389761e-15 relative error 7.389465023210553e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.861999999999905 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.861999999999902 Order of pole (three term test) 2.967916875441039e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.137000000000095 y[1] (closed_form) 0.06701169199898821 y[1] (numeric) 0.06701169199898326 absolute error 4.954370247389761e-15 relative error 7.393292274226662e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.862999999999905 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.862999999999905 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.136000000000095 y[1] (closed_form) 0.06697701134644485 y[1] (numeric) 0.06697701134643988 absolute error 4.9682480351975755e-15 relative error 7.417840741652159e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.863999999999905 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8639999999999195 Order of pole (three term test) 3.0143743261770263e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1350000000000953 y[1] (closed_form) 0.06694235760942477 y[1] (numeric) 0.0669423576094198 absolute error 4.9682480351975755e-15 relative error 7.421680700558565e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8649999999999047 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.864999999999919 Order of pole (three term test) 3.037865889855822e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1340000000000954 y[1] (closed_form) 0.06690773076008315 y[1] (numeric) 0.06690773076007818 absolute error 4.9682480351975755e-15 relative error 7.425521653114576e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8659999999999046 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8659999999999015 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1330000000000955 y[1] (closed_form) 0.06687313077061113 y[1] (numeric) 0.06687313077060617 absolute error 4.9682480351975755e-15 relative error 7.429363599320195e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8669999999999045 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.866999999999926 Order of pole (three term test) 6.170762160495702e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1320000000000956 y[1] (closed_form) 0.06683855761323584 y[1] (numeric) 0.06683855761323086 absolute error 4.98212582300539e-15 relative error 7.45396968593289e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8679999999999044 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8679999999999097 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1310000000000957 y[1] (closed_form) 0.06680401126022022 y[1] (numeric) 0.06680401126021525 absolute error 4.9682480351975755e-15 relative error 7.437050472680251e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8689999999999043 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8689999999999074 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.130000000000096 y[1] (closed_form) 0.06676949168386312 y[1] (numeric) 0.06676949168385814 absolute error 4.98212582300539e-15 relative error 7.461680023856572e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.869999999999904 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.869999999999912 Order of pole (three term test) 6.31600690474112e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.129000000000096 y[1] (closed_form) 0.0667349988564991 y[1] (numeric) 0.06673499885649412 absolute error 4.98212582300539e-15 relative error 7.465536687456161e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.870999999999904 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8709999999999196 Order of pole (three term test) 6.365152088478205e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.128000000000096 y[1] (closed_form) 0.06670053275049849 y[1] (numeric) 0.06670053275049351 absolute error 4.98212582300539e-15 relative error 7.469394347480914e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.871999999999904 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.871999999999907 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.127000000000096 y[1] (closed_form) 0.06666609333826727 y[1] (numeric) 0.06666609333826228 absolute error 4.9960036108132044e-15 relative error 7.494069864666014e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.872999999999904 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8729999999999154 Order of pole (three term test) 6.46455381474487e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1260000000000963 y[1] (closed_form) 0.06663168059224701 y[1] (numeric) 0.06663168059224202 absolute error 4.9960036108132044e-15 relative error 7.49794026866331e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8739999999999037 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8739999999999166 Order of pole (three term test) 6.514815740969168e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1250000000000964 y[1] (closed_form) 0.06659729448491487 y[1] (numeric) 0.06659729448490986 absolute error 5.009881398621019e-15 relative error 7.522650037616499e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8749999999999036 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.874999999999918 Order of pole (three term test) 3.282727664897288e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1240000000000965 y[1] (closed_form) 0.06656293498878346 y[1] (numeric) 0.06656293498877847 absolute error 4.9960036108132044e-15 relative error 7.50568407426007e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8759999999999035 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8759999999999137 Order of pole (three term test) 6.616475320374956e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1230000000000966 y[1] (closed_form) 0.0665286020764009 y[1] (numeric) 0.0665286020763959 absolute error 5.009881398621019e-15 relative error 7.530417357736921e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8769999999999034 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8769999999999287 Order of pole (three term test) 6.667878471016571e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1220000000000967 y[1] (closed_form) 0.06649429572035065 y[1] (numeric) 0.06649429572034564 absolute error 5.009881398621019e-15 relative error 7.534302520761551e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8779999999999033 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8779999999999073 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.121000000000097 y[1] (closed_form) 0.06646001589325151 y[1] (numeric) 0.0664600158932465 absolute error 5.009881398621019e-15 relative error 7.538188685762461e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.878999999999903 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8789999999999236 Order of pole (three term test) 3.3859226911222194e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.120000000000097 y[1] (closed_form) 0.06642576256775759 y[1] (numeric) 0.06642576256775258 absolute error 5.009881398621019e-15 relative error 7.54207585273965e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.879999999999903 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8799999999999084 Order of pole (three term test) 3.412207378184697e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.119000000000097 y[1] (closed_form) 0.0663915357165582 y[1] (numeric) 0.06639153571655318 absolute error 5.023759186428833e-15 relative error 7.566866969121632e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.880999999999903 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8809999999999216 Order of pole (three term test) 3.438689258947526e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.118000000000097 y[1] (closed_form) 0.06635733531237784 y[1] (numeric) 0.0663573353123728 absolute error 5.037636974236648e-15 relative error 7.591680634133243e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.881999999999903 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.881999999999905 Order of pole (three term test) 3.465369761419944e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1170000000000972 y[1] (closed_form) 0.06632316132797607 y[1] (numeric) 0.06632316132797103 absolute error 5.037636974236648e-15 relative error 7.595592359243737e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8829999999999028 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8829999999999134 Order of pole (three term test) 6.984500647161124e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1160000000000974 y[1] (closed_form) 0.0662890137361476 y[1] (numeric) 0.06628901373614256 absolute error 5.037636974236648e-15 relative error 7.599505091881628e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8839999999999026 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.883999999999914 Order of pole (three term test) 3.5193323934441374e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1150000000000975 y[1] (closed_form) 0.06625489250972208 y[1] (numeric) 0.06625489250971704 absolute error 5.037636974236648e-15 relative error 7.603418832046912e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8849999999999025 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8849999999999185 Order of pole (three term test) 3.546617429129174e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1140000000000976 y[1] (closed_form) 0.06622079762156417 y[1] (numeric) 0.06622079762155914 absolute error 5.037636974236648e-15 relative error 7.607333579739591e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8859999999999024 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8859999999999157 Order of pole (three term test) 3.574106898925712e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1130000000000977 y[1] (closed_form) 0.0661867290445734 y[1] (numeric) 0.06618672904456835 absolute error 5.051514762044462e-15 relative error 7.632216963981592e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8869999999999023 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8869999999999254 Order of pole (three term test) 7.203604562727377e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.112000000000098 y[1] (closed_form) 0.06615268675168413 y[1] (numeric) 0.06615268675167908 absolute error 5.051514762044462e-15 relative error 7.63614451670908e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.887999999999902 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.887999999999898 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.111000000000098 y[1] (closed_form) 0.06611867071586554 y[1] (numeric) 0.06611867071586049 absolute error 5.051514762044462e-15 relative error 7.640073079739524e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.888999999999902 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.888999999999939 Order of pole (three term test) 1.4631266999583521e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.110000000000098 y[1] (closed_form) 0.06608468091012155 y[1] (numeric) 0.06608468091011649 absolute error 5.065392549852277e-15 relative error 7.665002660361578e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.889999999999902 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8899999999999033 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109000000000098 y[1] (closed_form) 0.06605071730749075 y[1] (numeric) 0.06605071730748568 absolute error 5.065392549852277e-15 relative error 7.668944042304617e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.890999999999902 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8909999999999094 Order of pole (three term test) 3.714672870386068e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1080000000000982 y[1] (closed_form) 0.06601677988104637 y[1] (numeric) 0.06601677988104131 absolute error 5.065392549852277e-15 relative error 7.672886437326168e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8919999999999018 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8919999999999195 Order of pole (three term test) 3.7434203572128274e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1070000000000983 y[1] (closed_form) 0.06598286860389624 y[1] (numeric) 0.06598286860389116 absolute error 5.079270337660091e-15 relative error 7.69786225596164e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8929999999999017 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8929999999999185 Order of pole (three term test) 3.772382846779006e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1060000000000985 y[1] (closed_form) 0.06594898344918265 y[1] (numeric) 0.06594898344917757 absolute error 5.079270337660091e-15 relative error 7.701817483773577e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8939999999999015 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8939999999999158 Order of pole (three term test) 3.801561891243662e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1050000000000986 y[1] (closed_form) 0.06591512439008244 y[1] (numeric) 0.06591512439007736 absolute error 5.079270337660091e-15 relative error 7.70577372743958e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8949999999999014 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8949999999999068 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1040000000000987 y[1] (closed_form) 0.06588129139980686 y[1] (numeric) 0.06588129139980177 absolute error 5.093148125467906e-15 relative error 7.730795825721833e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8959999999999013 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8959999999999084 Order of pole (three term test) 3.8605759075892615e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.103000000000099 y[1] (closed_form) 0.06584748445160145 y[1] (numeric) 0.06584748445159637 absolute error 5.079270337660091e-15 relative error 7.713689262333787e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.896999999999901 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.896999999999901 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.102000000000099 y[1] (closed_form) 0.06581370351874616 y[1] (numeric) 0.06581370351874108 absolute error 5.079270337660091e-15 relative error 7.717648553561993e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.897999999999901 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8979999999999073 Order of pole (three term test) 3.920475040877154e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.101000000000099 y[1] (closed_form) 0.06577994857455514 y[1] (numeric) 0.06577994857455007 absolute error 5.079270337660091e-15 relative error 7.721608860644265e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.898999999999901 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8989999999999205 Order of pole (three term test) 7.901521045697716e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100000000000099 y[1] (closed_form) 0.06574621959237678 y[1] (numeric) 0.0657462195923717 absolute error 5.079270337660091e-15 relative error 7.725570183580606e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.899999999999901 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8999999999999124 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0990000000000992 y[1] (closed_form) 0.0657125165455936 y[1] (numeric) 0.06571251654558852 absolute error 5.079270337660091e-15 relative error 7.729532522371014e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9009999999999008 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.900999999999903 Order of pole (three term test) 4.0120114078664056e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0980000000000993 y[1] (closed_form) 0.06567883940762224 y[1] (numeric) 0.06567883940761716 absolute error 5.079270337660091e-15 relative error 7.73349587701549e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9019999999999007 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9019999999999135 Order of pole (three term test) 8.085960161712814e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0970000000000995 y[1] (closed_form) 0.06564518815191339 y[1] (numeric) 0.06564518815190831 absolute error 5.079270337660091e-15 relative error 7.737460247514033e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9029999999999005 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.902999999999911 Order of pole (three term test) 8.148359546141253e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0960000000000996 y[1] (closed_form) 0.06561156275195175 y[1] (numeric) 0.06561156275194666 absolute error 5.093148125467906e-15 relative error 7.762577070024749e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9039999999999004 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9039999999999093 Order of pole (three term test) 4.1056121480061956e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0950000000000997 y[1] (closed_form) 0.06557796318125592 y[1] (numeric) 0.06557796318125082 absolute error 5.093148125467906e-15 relative error 7.766554309395926e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9049999999999003 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.904999999999896 Order of pole (three term test) 4.137278880707775e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0940000000001 y[1] (closed_form) 0.06554438941337844 y[1] (numeric) 0.06554438941337334 absolute error 5.093148125467906e-15 relative error 7.77053256739673e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9059999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.905999999999918 Order of pole (three term test) 4.16918165784482e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0930000000001 y[1] (closed_form) 0.06551084142190568 y[1] (numeric) 0.06551084142190058 absolute error 5.093148125467906e-15 relative error 7.774511844027156e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9069999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9069999999999037 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0920000000001 y[1] (closed_form) 0.0654773191804578 y[1] (numeric) 0.0654773191804527 absolute error 5.093148125467906e-15 relative error 7.77849213928721e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9079999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.907999999999905 Order of pole (three term test) 4.23370215069291e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0910000000001 y[1] (closed_form) 0.06544382266268867 y[1] (numeric) 0.06544382266268357 absolute error 5.093148125467906e-15 relative error 7.782473453176888e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9089999999999 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.908999999999914 Order of pole (three term test) 4.2663232985679514e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0900000000001002 y[1] (closed_form) 0.06541035184228591 y[1] (numeric) 0.0654103518422808 absolute error 5.10702591327572e-15 relative error 7.807672286474654e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9099999999998998 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.909999999999909 Order of pole (three term test) 4.2991873553641445e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0890000000001003 y[1] (closed_form) 0.06537690669297071 y[1] (numeric) 0.0653769066929656 absolute error 5.10702591327572e-15 relative error 7.811666491441428e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9109999999998997 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.910999999999923 Order of pole (three term test) 4.3322960670496203e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0880000000001004 y[1] (closed_form) 0.06534348718849788 y[1] (numeric) 0.06534348718849277 absolute error 5.10702591327572e-15 relative error 7.815661717813381e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9119999999998996 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9119999999999115 Order of pole (three term test) 4.3656511916906646e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0870000000001006 y[1] (closed_form) 0.06531009330265575 y[1] (numeric) 0.06531009330265063 absolute error 5.1209037010835345e-15 relative error 7.840907036149188e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9129999999998994 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.912999999999905 Order of pole (three term test) 4.399254499532663e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0860000000001007 y[1] (closed_form) 0.06527672500926612 y[1] (numeric) 0.065276725009261 absolute error 5.1209037010835345e-15 relative error 7.844915167476025e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9139999999998993 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9139999999998927 Order of pole (three term test) 4.433107773081128e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0850000000001008 y[1] (closed_form) 0.06524338228218425 y[1] (numeric) 0.06524338228217913 absolute error 5.1209037010835345e-15 relative error 7.848924322983603e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9149999999998992 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9149999999999077 Order of pole (three term test) 4.4672128071835974e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.084000000000101 y[1] (closed_form) 0.06521006509529874 y[1] (numeric) 0.06521006509529362 absolute error 5.1209037010835345e-15 relative error 7.852934502671921e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.915999999999899 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9159999999999178 Order of pole (three term test) 1.3504714227335213e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.083000000000101 y[1] (closed_form) 0.06517677342253153 y[1] (numeric) 0.06517677342252641 absolute error 5.1209037010835345e-15 relative error 7.856945706540981e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.916999999999899 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9169999999999265 Order of pole (three term test) 4.536185398644287e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.082000000000101 y[1] (closed_form) 0.06514350723783788 y[1] (numeric) 0.06514350723783274 absolute error 5.134781488891349e-15 relative error 7.882261343627609e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.917999999999899 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9179999999999042 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.081000000000101 y[1] (closed_form) 0.0651102665152062 y[1] (numeric) 0.06511026651520105 absolute error 5.1486592766991635e-15 relative error 7.907599756939589e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.918999999999899 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.918999999999913 Order of pole (three term test) 4.606186882673049e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0800000000001013 y[1] (closed_form) 0.06507705122865809 y[1] (numeric) 0.06507705122865295 absolute error 5.134781488891349e-15 relative error 7.890310627089594e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9199999999998987 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9199999999999156 Order of pole (three term test) 6.962367120021647e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0790000000001014 y[1] (closed_form) 0.06504386135224834 y[1] (numeric) 0.06504386135224319 absolute error 5.1486592766991635e-15 relative error 7.915672854685451e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9209999999998986 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9209999999999225 Order of pole (three term test) 4.677232070819847e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0780000000001015 y[1] (closed_form) 0.06501069686006472 y[1] (numeric) 0.06501069686005957 absolute error 5.1486592766991635e-15 relative error 7.919710948156167e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9219999999998985 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.921999999999913 Order of pole (three term test) 2.3565753693318397e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0770000000001017 y[1] (closed_form) 0.0649775577262281 y[1] (numeric) 0.06497755772622295 absolute error 5.1486592766991635e-15 relative error 7.923750071358737e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9229999999998983 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.922999999999899 Order of pole (three term test) 4.7493359801354237e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0760000000001018 y[1] (closed_form) 0.06494444392489225 y[1] (numeric) 0.06494444392488712 absolute error 5.134781488891349e-15 relative error 7.90642151748914e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9239999999998982 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.923999999999921 Order of pole (three term test) 4.785789704926212e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.075000000000102 y[1] (closed_form) 0.06491135543024394 y[1] (numeric) 0.06491135543023879 absolute error 5.1486592766991635e-15 relative error 7.931831406959445e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.924999999999898 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9249999999999057 Order of pole (three term test) 4.822513835915798e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.074000000000102 y[1] (closed_form) 0.06487829221650275 y[1] (numeric) 0.06487829221649759 absolute error 5.162537064506978e-15 relative error 7.957264114288463e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.925999999999898 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9259999999999233 Order of pole (three term test) 9.719020618521114e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.073000000000102 y[1] (closed_form) 0.06484525425792109 y[1] (numeric) 0.06484525425791593 absolute error 5.162537064506978e-15 relative error 7.96131825464522e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.926999999999898 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9269999999999015 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.072000000000102 y[1] (closed_form) 0.06481224152878416 y[1] (numeric) 0.06481224152877899 absolute error 5.176414852314792e-15 relative error 7.98678572166936e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.927999999999898 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.927999999999913 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0710000000001023 y[1] (closed_form) 0.06477925400340985 y[1] (numeric) 0.06477925400340469 absolute error 5.162537064506978e-15 relative error 7.969429632880972e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9289999999998977 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.928999999999901 Order of pole (three term test) 2.486076672996106e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0700000000001024 y[1] (closed_form) 0.06474629165614876 y[1] (numeric) 0.0647462916561436 absolute error 5.162537064506978e-15 relative error 7.973486870759969e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9299999999998976 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9299999999999016 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0690000000001025 y[1] (closed_form) 0.06471335446138408 y[1] (numeric) 0.06471335446137892 absolute error 5.162537064506978e-15 relative error 7.977545141146377e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9309999999998975 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9309999999999174 Order of pole (three term test) 5.048646517299067e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0680000000001026 y[1] (closed_form) 0.0646804423935316 y[1] (numeric) 0.06468044239352642 absolute error 5.176414852314792e-15 relative error 8.003060369965037e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9319999999998974 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.931999999999907 Order of pole (three term test) 2.5436592293640416e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0670000000001028 y[1] (closed_form) 0.0646475554270396 y[1] (numeric) 0.0646475554270344 absolute error 5.190292640122607e-15 relative error 8.02859846105133e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9329999999998972 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9329999999999004 Order of pole (three term test) 2.5631383374155188e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.066000000000103 y[1] (closed_form) 0.06461469353638882 y[1] (numeric) 0.06461469353638362 absolute error 5.204170427930421e-15 relative error 8.054159422731932e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.933999999999897 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9339999999999073 Order of pole (three term test) 2.582761605600265e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.065000000000103 y[1] (closed_form) 0.06458185669609247 y[1] (numeric) 0.06458185669608726 absolute error 5.204170427930421e-15 relative error 8.058254584441671e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.934999999999897 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.93499999999991 Order of pole (three term test) 5.205060127520419e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.064000000000103 y[1] (closed_form) 0.06454904488069609 y[1] (numeric) 0.06454904488069088 absolute error 5.204170427930421e-15 relative error 8.062350786985495e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.935999999999897 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9359999999999147 Order of pole (three term test) 5.24488949765931e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.063000000000103 y[1] (closed_form) 0.06451625806477757 y[1] (numeric) 0.06451625806477236 absolute error 5.204170427930421e-15 relative error 8.066448030363405e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.936999999999897 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9369999999998955 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0620000000001033 y[1] (closed_form) 0.06448349622294706 y[1] (numeric) 0.06448349622294186 absolute error 5.204170427930421e-15 relative error 8.0705463145754e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9379999999998967 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.937999999999916 Order of pole (three term test) 5.325433966356992e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0610000000001034 y[1] (closed_form) 0.06445075932984697 y[1] (numeric) 0.06445075932984175 absolute error 5.218048215738236e-15 relative error 8.096178027993804e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9389999999998966 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9389999999999104 Order of pole (three term test) 5.366153284426018e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0600000000001035 y[1] (closed_form) 0.0644180473601518 y[1] (numeric) 0.06441804736014659 absolute error 5.218048215738236e-15 relative error 8.100289328182983e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9399999999998965 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.939999999999903 Order of pole (three term test) 2.703586747762828e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0590000000001036 y[1] (closed_form) 0.06438536028856827 y[1] (numeric) 0.06438536028856305 absolute error 5.218048215738236e-15 relative error 8.104401671981804e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9409999999998964 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9409999999999052 Order of pole (three term test) 5.448496745870862e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0580000000001037 y[1] (closed_form) 0.06435269808983513 y[1] (numeric) 0.0643526980898299 absolute error 5.23192600354605e-15 relative error 8.130080259016307e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9419999999998963 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.941999999999915 Order of pole (three term test) 8.235187794652051e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.057000000000104 y[1] (closed_form) 0.06432006073872315 y[1] (numeric) 0.06432006073871792 absolute error 5.23192600354605e-15 relative error 8.134205632670104e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.942999999999896 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.942999999999917 Order of pole (three term test) 5.532061023045925e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.056000000000104 y[1] (closed_form) 0.06428744821003511 y[1] (numeric) 0.06428744821002988 absolute error 5.23192600354605e-15 relative error 8.138332052709101e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.943999999999896 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.94399999999991 Order of pole (three term test) 2.7871532082437168e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.055000000000104 y[1] (closed_form) 0.06425486047860572 y[1] (numeric) 0.06425486047860049 absolute error 5.23192600354605e-15 relative error 8.142459519133297e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.944999999999896 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9449999999999177 Order of pole (three term test) 5.6168635825951664e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.054000000000104 y[1] (closed_form) 0.06422229751930154 y[1] (numeric) 0.06422229751929631 absolute error 5.23192600354605e-15 relative error 8.146588031942696e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.945999999999896 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.945999999999918 Order of pole (three term test) 5.659734742357625e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0530000000001043 y[1] (closed_form) 0.06418975930702102 y[1] (numeric) 0.06418975930701579 absolute error 5.23192600354605e-15 relative error 8.150717591137293e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9469999999998957 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.946999999999892 Order of pole (three term test) 2.8514610660080523e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0520000000001044 y[1] (closed_form) 0.06415724581669434 y[1] (numeric) 0.06415724581668909 absolute error 5.245803791353865e-15 relative error 8.176479093790611e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9479999999998956 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9479999999999 Order of pole (three term test) 5.746428003165696e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0510000000001045 y[1] (closed_form) 0.06412475702328344 y[1] (numeric) 0.06412475702327819 absolute error 5.245803791353865e-15 relative error 8.180621705044645e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9489999999998955 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.948999999999887 Order of pole (three term test) 2.895127311428211e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000001046 y[1] (closed_form) 0.06409229290178195 y[1] (numeric) 0.0640922929017767 absolute error 5.245803791353865e-15 relative error 8.184765365459434e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9499999999998954 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9499999999999234 Order of pole (three term test) 5.83440427369582e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0490000000001047 y[1] (closed_form) 0.06405985342721517 y[1] (numeric) 0.0640598534272099 absolute error 5.259681579161679e-15 relative error 8.21057385830227e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9509999999998953 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9509999999998993 Order of pole (three term test) 2.939439626975589e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.048000000000105 y[1] (closed_form) 0.06402743857463992 y[1] (numeric) 0.06402743857463467 absolute error 5.259681579161679e-15 relative error 8.214730584654281e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.951999999999895 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.951999999999899 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.047000000000105 y[1] (closed_form) 0.06399504831914465 y[1] (numeric) 0.0639950483191394 absolute error 5.259681579161679e-15 relative error 8.218888362942607e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.952999999999895 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.95299999999989 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.046000000000105 y[1] (closed_form) 0.06396268263584927 y[1] (numeric) 0.063962682635844 absolute error 5.2735593669694936e-15 relative error 8.244743887608324e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.953999999999895 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9539999999999047 Order of pole (three term test) 3.007139695482801e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.045000000000105 y[1] (closed_form) 0.06393034149990512 y[1] (numeric) 0.06393034149989983 absolute error 5.287437154777308e-15 relative error 8.27062241609511e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.954999999999895 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.954999999999904 Order of pole (three term test) 3.030039494197341e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0440000000001053 y[1] (closed_form) 0.06389802488649494 y[1] (numeric) 0.06389802488648967 absolute error 5.2735593669694936e-15 relative error 8.25308665852687e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9559999999998947 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9559999999999067 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0430000000001054 y[1] (closed_form) 0.06386573277083292 y[1] (numeric) 0.06386573277082762 absolute error 5.3013149425851225e-15 relative error 8.300718887243708e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9569999999998946 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.956999999999908 Order of pole (three term test) 3.076345877783833e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0420000000001055 y[1] (closed_form) 0.0638334651281644 y[1] (numeric) 0.06383346512815911 absolute error 5.287437154777308e-15 relative error 8.283174263156836e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9579999999998945 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9579999999998994 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0410000000001056 y[1] (closed_form) 0.06380122193376613 y[1] (numeric) 0.06380122193376082 absolute error 5.3013149425851225e-15 relative error 8.309111929060809e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9589999999998944 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.95899999999991 Order of pole (three term test) 3.12333599870581e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000001057 y[1] (closed_form) 0.06376900316294595 y[1] (numeric) 0.06376900316294065 absolute error 5.3013149425851225e-15 relative error 8.313310040363843e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9599999999998943 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9599999999998965 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.039000000000106 y[1] (closed_form) 0.06373680879104297 y[1] (numeric) 0.06373680879103767 absolute error 5.3013149425851225e-15 relative error 8.317509211929864e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.960999999999894 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.960999999999915 Order of pole (three term test) 6.342039199221219e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.038000000000106 y[1] (closed_form) 0.06370463879342736 y[1] (numeric) 0.06370463879342204 absolute error 5.315192730392937e-15 relative error 8.343494023454577e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.961999999999894 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9619999999999007 Order of pole (three term test) 3.195124536171034e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.037000000000106 y[1] (closed_form) 0.06367249314550034 y[1] (numeric) 0.06367249314549503 absolute error 5.315192730392937e-15 relative error 8.347706313693412e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.962999999999894 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9629999999998944 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.036000000000106 y[1] (closed_form) 0.0636403718226942 y[1] (numeric) 0.06364037182268889 absolute error 5.315192730392937e-15 relative error 8.351919666970795e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.963999999999894 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9639999999999134 Order of pole (three term test) 3.2438669176800016e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0350000000001063 y[1] (closed_form) 0.06360827480047221 y[1] (numeric) 0.06360827480046688 absolute error 5.329070518200751e-15 relative error 8.37795166574961e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9649999999998937 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9649999999999026 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0340000000001064 y[1] (closed_form) 0.06357620205432851 y[1] (numeric) 0.06357620205432318 absolute error 5.329070518200751e-15 relative error 8.382178151577595e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9659999999998936 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9659999999999065 Order of pole (three term test) 3.293327725031296e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0330000000001065 y[1] (closed_form) 0.0635441535597882 y[1] (numeric) 0.06354415355978286 absolute error 5.329070518200751e-15 relative error 8.386405703219685e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9669999999998935 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.966999999999904 Order of pole (three term test) 6.63666145259884e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0320000000001066 y[1] (closed_form) 0.06351212929240715 y[1] (numeric) 0.06351212929240183 absolute error 5.329070518200751e-15 relative error 8.390634320675876e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9679999999998934 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9679999999998974 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0310000000001067 y[1] (closed_form) 0.06348012922777209 y[1] (numeric) 0.06348012922776675 absolute error 5.342948306008566e-15 relative error 8.416725628956446e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9689999999998933 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9689999999998973 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.030000000000107 y[1] (closed_form) 0.0634481533415004 y[1] (numeric) 0.06344815334149506 absolute error 5.342948306008566e-15 relative error 8.420967395616589e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.969999999999893 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.969999999999906 Order of pole (three term test) 3.394445632255653e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.029000000000107 y[1] (closed_form) 0.06341620160924026 y[1] (numeric) 0.06341620160923492 absolute error 5.342948306008566e-15 relative error 8.425210230866388e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.970999999999893 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.970999999999898 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.028000000000107 y[1] (closed_form) 0.06338427400667042 y[1] (numeric) 0.06338427400666508 absolute error 5.342948306008566e-15 relative error 8.429454134705852e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.971999999999893 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.971999999999906 Order of pole (three term test) 6.892247183382653e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.027000000000107 y[1] (closed_form) 0.0633523705095003 y[1] (numeric) 0.06335237050949492 absolute error 5.370703881624195e-15 relative error 8.47751053106814e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.972999999999893 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.972999999999897 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0260000000001073 y[1] (closed_form) 0.06332049109346978 y[1] (numeric) 0.06332049109346441 absolute error 5.370703881624195e-15 relative error 8.481778629442869e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9739999999998927 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9739999999999136 Order of pole (three term test) 3.4985616998147544e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0250000000001074 y[1] (closed_form) 0.06328863573434937 y[1] (numeric) 0.063288635734344 absolute error 5.370703881624195e-15 relative error 8.48604780195837e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9749999999998926 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.974999999999903 Order of pole (three term test) 7.05013835169249e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0240000000001075 y[1] (closed_form) 0.06325680440793997 y[1] (numeric) 0.0632568044079346 absolute error 5.370703881624195e-15 relative error 8.490318048614649e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9759999999998925 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.97599999999991 Order of pole (three term test) 7.103541493768345e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0230000000001076 y[1] (closed_form) 0.06322499709007293 y[1] (numeric) 0.06322499709006756 absolute error 5.370703881624195e-15 relative error 8.494589369411705e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9769999999998924 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.976999999999911 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0220000000001077 y[1] (closed_form) 0.06319321375660997 y[1] (numeric) 0.06319321375660458 absolute error 5.384581669432009e-15 relative error 8.520822647461549e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9779999999998923 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.977999999999911 Order of pole (three term test) 3.605761670779825e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.021000000000108 y[1] (closed_form) 0.0631614543834431 y[1] (numeric) 0.06316145438343772 absolute error 5.384581669432009e-15 relative error 8.525107159095917e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.978999999999892 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.978999999999901 Order of pole (three term test) 3.633053795468297e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000108 y[1] (closed_form) 0.06312971894649468 y[1] (numeric) 0.06312971894648929 absolute error 5.384581669432009e-15 relative error 8.529392747646616e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.979999999999892 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9799999999998894 Order of pole (three term test) 3.660545558947733e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.019000000000108 y[1] (closed_form) 0.06309800742171726 y[1] (numeric) 0.06309800742171187 absolute error 5.384581669432009e-15 relative error 8.533679413113651e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.980999999999892 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9809999999999026 Order of pole (three term test) 7.376476741683033e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.018000000000108 y[1] (closed_form) 0.0630663197850936 y[1] (numeric) 0.0630663197850882 absolute error 5.398459457239824e-15 relative error 8.559972225485413e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.981999999999892 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9819999999998985 Order of pole (three term test) 3.716133650368251e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0170000000001083 y[1] (closed_form) 0.06303465601263658 y[1] (numeric) 0.06303465601263118 absolute error 5.398459457239824e-15 relative error 8.564272098443105e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9829999999998917 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9829999999998913 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0160000000001084 y[1] (closed_form) 0.06300301608038923 y[1] (numeric) 0.06300301608038382 absolute error 5.412337245047638e-15 relative error 8.590600231172617e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9839999999998916 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9839999999999076 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0150000000001085 y[1] (closed_form) 0.0629713999644246 y[1] (numeric) 0.06297139996441918 absolute error 5.412337245047638e-15 relative error 8.594913322723195e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9849999999998915 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9849999999998964 Order of pole (three term test) 3.801048632185071e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0140000000001086 y[1] (closed_form) 0.06293980764084572 y[1] (numeric) 0.06293980764084031 absolute error 5.412337245047638e-15 relative error 8.599227496741221e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9859999999998914 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9859999999998896 Order of pole (three term test) 3.829768168544749e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0130000000001087 y[1] (closed_form) 0.06290823908578567 y[1] (numeric) 0.06290823908578025 absolute error 5.4262150328554526e-15 relative error 8.625603119260613e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9869999999998913 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.986999999999901 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.012000000000109 y[1] (closed_form) 0.06287669427540737 y[1] (numeric) 0.06287669427540195 absolute error 5.4262150328554526e-15 relative error 8.629930525749314e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.987999999999891 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.987999999999904 Order of pole (three term test) 3.887837848998971e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.011000000000109 y[1] (closed_form) 0.06284517318590366 y[1] (numeric) 0.06284517318589823 absolute error 5.4262150328554526e-15 relative error 8.634259017481023e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.988999999999891 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9889999999998884 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000109 y[1] (closed_form) 0.0628136757934972 y[1] (numeric) 0.06281367579349176 absolute error 5.440092820663267e-15 relative error 8.660682171423653e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.989999999999891 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9899999999998816 Order of pole (three term test) 3.946758244216077e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.009000000000109 y[1] (closed_form) 0.06278220207444041 y[1] (numeric) 0.06278220207443495 absolute error 5.4539706084710815e-15 relative error 8.687128562334191e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.990999999999891 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9909999999999006 Order of pole (three term test) 3.9765412119406275e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0080000000001093 y[1] (closed_form) 0.06275075200501547 y[1] (numeric) 0.06275075200501001 absolute error 5.4539706084710815e-15 relative error 8.691482467070932e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9919999999998907 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.991999999999891 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0070000000001094 y[1] (closed_form) 0.06271932556153426 y[1] (numeric) 0.0627193255615288 absolute error 5.4539706084710815e-15 relative error 8.695837462601799e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9929999999998906 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9929999999999057 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0060000000001095 y[1] (closed_form) 0.06268792272033831 y[1] (numeric) 0.06268792272033286 absolute error 5.4539706084710815e-15 relative error 8.700193548926785e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9939999999998905 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.993999999999916 Order of pole (three term test) 8.134398902116887e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0050000000001096 y[1] (closed_form) 0.06265654345779877 y[1] (numeric) 0.0626565434577933 absolute error 5.467848396278896e-15 relative error 8.72669971008163e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9949999999998904 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9949999999998913 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0040000000001097 y[1] (closed_form) 0.06262518775031631 y[1] (numeric) 0.06262518775031084 absolute error 5.467848396278896e-15 relative error 8.731069067735097e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9959999999998903 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.995999999999901 Order of pole (three term test) 4.128744810588543e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.00300000000011 y[1] (closed_form) 0.06259385557432115 y[1] (numeric) 0.06259385557431568 absolute error 5.467848396278896e-15 relative error 8.735439518958242e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.99699999999989 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.996999999999899 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.00200000000011 y[1] (closed_form) 0.06256254690627298 y[1] (numeric) 0.0625625469062675 absolute error 5.4817261840867104e-15 relative error 8.76199332533419e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.99799999999989 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.997999999999901 Order of pole (three term test) 8.382379970033745e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.00100000000011 y[1] (closed_form) 0.06253126172266092 y[1] (numeric) 0.06253126172265543 absolute error 5.495603971894525e-15 relative error 8.788570421413636e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.99899999999989 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9989999999998944 Order of pole (three term test) 4.222753963468544e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.00000000000011 y[1] (closed_form) 0.06250000000000344 y[1] (numeric) 0.06249999999999795 absolute error 5.488665077990618e-15 relative error 8.781864124784505e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.99999999999989 Order of pole (given) 3.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9999999999999027 Order of pole (three term test) 4.254547669921194e-14 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations 1001 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 0.0%