##############ECHO OF PROBLEM#################
##############temp/subpostode.ode#################
diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ;
!
/* BEGIN FIRST INPUT BLOCK */
Digits=32;
max_terms=30;
!
/* END FIRST INPUT BLOCK */
/* BEGIN SECOND INPUT BLOCK */
x_start=0.0;
x_end=10.0;
array_y_init[0 + 1] = exact_soln_y(x_start);
glob_look_poles=true;
glob_max_iter=100;
/* END SECOND INPUT BLOCK */
/* BEGIN OVERRIDE BLOCK */
glob_desired_digits_correct=10;
glob_display_interval=0.01;
glob_look_poles=true;
glob_max_iter=1000000000;
glob_max_minutes=30.0;
glob_subiter_method=3;
/* END OVERRIDE BLOCK */
!
/* BEGIN USER DEF BLOCK */
double exact_soln_y (double x) {
return(2.0 - cos(x) - sin(x));
}
/* END USER DEF BLOCK */
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
glob_desired_digits_correct = 10
estimated_h = 1e-06
estimated_answer = 1
desired_abs_gbl_error = 1e-10
range = 10
estimated_steps = 10000000
step_error = 1e-17
est_needed_step_err = 1e-17
opt_iter = 1
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.479596309143244e-183
estimated_step_error = 2.479596309143244e-183
best_h = 2e-06
opt_iter = 2
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.664028945667307e-175
estimated_step_error = 1.664028945667307e-175
best_h = 4e-06
opt_iter = 3
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.116710963428165e-167
estimated_step_error = 1.116710963428165e-167
best_h = 8e-06
opt_iter = 4
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 7.494120972320839e-160
estimated_step_error = 7.494120972320839e-160
best_h = 1.6e-05
opt_iter = 5
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 5.029220196379388e-152
estimated_step_error = 5.029220196379388e-152
best_h = 3.2e-05
opt_iter = 6
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 3.375053541863191e-144
estimated_step_error = 3.375053541863191e-144
best_h = 6.4e-05
opt_iter = 7
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.264961433531628e-136
estimated_step_error = 2.264961433531628e-136
best_h = 0.000128
opt_iter = 8
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.519991689542376e-128
estimated_step_error = 1.519991689542376e-128
best_h = 0.000256
opt_iter = 9
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.02005157361828e-120
estimated_step_error = 1.02005157361828e-120
best_h = 0.000512
opt_iter = 10
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 6.845482684599404e-113
estimated_step_error = 6.845482684599404e-113
best_h = 0.001024
opt_iter = 11
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 4.593969220564778e-105
estimated_step_error = 4.593969220564778e-105
best_h = 0.002048
opt_iter = 12
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 3.083019014181819e-97
estimated_step_error = 3.083019014181819e-97
best_h = 0.004096
opt_iter = 13
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.069057493681944e-89
estimated_step_error = 2.069057493681944e-89
best_h = 0.008192
opt_iter = 14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.388626270304099e-81
estimated_step_error = 1.388626270304099e-81
best_h = 0.016384
opt_iter = 15
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 9.320326030775795e-74
estimated_step_error = 9.320326030775795e-74
best_h = 0.032768
opt_iter = 16
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 6.256660420644668e-66
estimated_step_error = 6.256660420644668e-66
best_h = 0.065536
opt_iter = 17
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 4.201315590689142e-58
estimated_step_error = 4.201315590689142e-58
best_h = 0.131072
opt_iter = 18
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.822860766965202e-50
estimated_step_error = 2.822860766965202e-50
best_h = 0.1
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0
y[1] (analytic) = 1
y[1] (numeric) = 1
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.5
Order of pole (three term test) = 22.5
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.01
y[1] (analytic) = 0.9900501662491681
y[1] (numeric) = 0.9900501662491681
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4999
Order of pole (three term test) = 22.49
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.02
y[1] (analytic) = 0.9802013266400892
y[1] (numeric) = 0.9802013266400892
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4996
Order of pole (three term test) = 22.48
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.03
y[1] (analytic) = 0.9704544660485168
y[1] (numeric) = 0.9704544660485168
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4991
Order of pole (three term test) = 22.47
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.04
y[1] (analytic) = 0.9608105591523879
y[1] (numeric) = 0.9608105591523879
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4984
Order of pole (three term test) = 22.46
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.05
y[1] (analytic) = 0.9512705703343554
y[1] (numeric) = 0.9512705703343554
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4975
Order of pole (three term test) = 22.45
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.06
y[1] (analytic) = 0.9418354535853511
y[1] (numeric) = 0.9418354535853511
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4964
Order of pole (three term test) = 22.44
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.07000000000000001
y[1] (analytic) = 0.9325061524091875
y[1] (numeric) = 0.9325061524091875
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4951
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.08
y[1] (analytic) = 0.9232835997282077
y[1] (numeric) = 0.9232835997282078
absolute error = 1.110223024625157e-16
relative error = 1.202472376799479e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4936
Order of pole (three term test) = 22.42
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.09
y[1] (analytic) = 0.9141687177899948
y[1] (numeric) = 0.9141687177899946
absolute error = 1.110223024625157e-16
relative error = 1.214461841692772e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4919
Order of pole (three term test) = 22.41
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.09999999999999999
y[1] (analytic) = 0.9051624180751462
y[1] (numeric) = 0.9051624180751461
absolute error = 1.110223024625157e-16
relative error = 1.226545648002132e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.49
Order of pole (three term test) = 22.4
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 0.8962656012061284
y[1] (numeric) = 0.8962656012061283
absolute error = 1.110223024625157e-16
relative error = 1.238721003161451e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4879
Order of pole (three term test) = 22.39
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 0.8874791568572145
y[1] (numeric) = 0.8874791568572143
absolute error = 1.110223024625157e-16
relative error = 1.250984900374149e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4857
Order of pole (three term test) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 0.8788039636655171
y[1] (numeric) = 0.8788039636655171
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4832
Order of pole (three term test) = 22.37
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 0.8702408891431261
y[1] (numeric) = 0.8702408891431263
absolute error = 1.110223024625157e-16
relative error = 1.275765180050694e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4805
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 0.8617907895903585
y[1] (numeric) = 0.8617907895903584
absolute error = 1.110223024625157e-16
relative error = 1.288274414203112e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4777
Order of pole (three term test) = 22.35
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 0.8534545100101272
y[1] (numeric) = 0.853454510010127
absolute error = 2.220446049250313e-16
relative error = 2.601715760133443e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4746
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 0.8452328840234432
y[1] (numeric) = 0.8452328840234431
absolute error = 1.110223024625157e-16
relative error = 1.313511395037446e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4714
Order of pole (three term test) = 22.33
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 0.8371267337860544
y[1] (numeric) = 0.8371267337860542
absolute error = 2.220446049250313e-16
relative error = 2.652461042795696e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4679
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 0.8291368699062289
y[1] (numeric) = 0.8291368699062289
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4643
Order of pole (three term test) = 22.31
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 0.8212640913636972
y[1] (numeric) = 0.8212640913636969
absolute error = 2.220446049250313e-16
relative error = 2.703693090444627e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4605
Order of pole (three term test) = 22.31
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 0.813509185429752
y[1] (numeric) = 0.8135091854297519
absolute error = 1.110223024625157e-16
relative error = 1.364733237816681e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4565
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2200000000000001
y[1] (analytic) = 0.8058729275885252
y[1] (numeric) = 0.8058729275885249
absolute error = 3.33066907387547e-16
relative error = 4.132995364222104e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4524
Order of pole (three term test) = 22.29
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2300000000000001
y[1] (analytic) = 0.7983560814594368
y[1] (numeric) = 0.7983560814594365
absolute error = 3.33066907387547e-16
relative error = 4.171909190929982e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.448
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2400000000000001
y[1] (analytic) = 0.7909593987208359
y[1] (numeric) = 0.7909593987208355
absolute error = 3.33066907387547e-16
relative error = 4.210922936451518e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4435
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2500000000000001
y[1] (analytic) = 0.7836836190348324
y[1] (numeric) = 0.783683619034832
absolute error = 4.440892098500626e-16
relative error = 5.6666899634446e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4388
Order of pole (three term test) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2600000000000001
y[1] (analytic) = 0.7765294699733315
y[1] (numeric) = 0.7765294699733314
absolute error = 1.110223024625157e-16
relative error = 1.429724263604941e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4339
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2700000000000001
y[1] (analytic) = 0.7694976669452782
y[1] (numeric) = 0.7694976669452781
absolute error = 1.110223024625157e-16
relative error = 1.442789331685015e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4289
Order of pole (three term test) = 22.24
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2800000000000001
y[1] (analytic) = 0.7625889131251153
y[1] (numeric) = 0.7625889131251151
absolute error = 2.220446049250313e-16
relative error = 2.911720864326298e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4236
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2900000000000001
y[1] (analytic) = 0.7558038993824672
y[1] (numeric) = 0.7558038993824671
absolute error = 1.110223024625157e-16
relative error = 1.468930003579326e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4182
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3000000000000001
y[1] (analytic) = 0.7491433042130544
y[1] (numeric) = 0.7491433042130542
absolute error = 2.220446049250313e-16
relative error = 2.963980371663075e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4127
Order of pole (three term test) = 22.22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3100000000000001
y[1] (analytic) = 0.7426077936708431
y[1] (numeric) = 0.7426077936708428
absolute error = 2.220446049250313e-16
relative error = 2.990065641883788e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4069
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3200000000000001
y[1] (analytic) = 0.7361980213014412
y[1] (numeric) = 0.7361980213014411
absolute error = 1.110223024625157e-16
relative error = 1.508049454768323e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.401
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3300000000000001
y[1] (analytic) = 0.7299146280767446
y[1] (numeric) = 0.7299146280767443
absolute error = 2.220446049250313e-16
relative error = 3.042062679440987e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.395
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3400000000000001
y[1] (analytic) = 0.7237582423308394
y[1] (numeric) = 0.7237582423308391
absolute error = 3.33066907387547e-16
relative error = 4.601908315612628e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3888
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3500000000000001
y[1] (analytic) = 0.7177294796971695
y[1] (numeric) = 0.7177294796971694
absolute error = 1.110223024625157e-16
relative error = 1.546854429183529e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3824
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3600000000000002
y[1] (analytic) = 0.7118289430469751
y[1] (numeric) = 0.7118289430469749
absolute error = 2.220446049250313e-16
relative error = 3.119353421828735e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3759
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3700000000000002
y[1] (analytic) = 0.7060572224290035
y[1] (numeric) = 0.7060572224290033
absolute error = 2.220446049250313e-16
relative error = 3.14485282313444e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3692
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3800000000000002
y[1] (analytic) = 0.7004148950105071
y[1] (numeric) = 0.7004148950105067
absolute error = 4.440892098500626e-16
relative error = 6.340373584479535e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3624
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3900000000000002
y[1] (analytic) = 0.6949025250195255
y[1] (numeric) = 0.6949025250195251
absolute error = 4.440892098500626e-16
relative error = 6.390669106254643e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3555
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4000000000000002
y[1] (analytic) = 0.6895206636884642
y[1] (numeric) = 0.689520663688464
absolute error = 2.220446049250313e-16
relative error = 3.220274846256883e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3484
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4100000000000002
y[1] (analytic) = 0.6842698491989719
y[1] (numeric) = 0.6842698491989716
absolute error = 3.33066907387547e-16
relative error = 4.867478930679844e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3411
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4200000000000002
y[1] (analytic) = 0.6791506066281214
y[1] (numeric) = 0.6791506066281211
absolute error = 3.33066907387547e-16
relative error = 4.90416859142883e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3337
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4300000000000002
y[1] (analytic) = 0.674163447895904
y[1] (numeric) = 0.6741634478959037
absolute error = 3.33066907387547e-16
relative error = 4.94044743047201e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3262
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4400000000000002
y[1] (analytic) = 0.6693088717140367
y[1] (numeric) = 0.6693088717140365
absolute error = 2.220446049250313e-16
relative error = 3.317520718893148e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3186
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4500000000000002
y[1] (analytic) = 0.6645873635360928
y[1] (numeric) = 0.6645873635360924
absolute error = 4.440892098500626e-16
relative error = 6.682179563077786e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3108
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4600000000000002
y[1] (analytic) = 0.6599993955089547
y[1] (numeric) = 0.6599993955089545
absolute error = 2.220446049250313e-16
relative error = 3.364315277195109e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3029
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4700000000000003
y[1] (analytic) = 0.6555454264256027
y[1] (numeric) = 0.6555454264256022
absolute error = 4.440892098500626e-16
relative error = 6.774346856044491e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2949
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4800000000000003
y[1] (analytic) = 0.6512259016792328
y[1] (numeric) = 0.6512259016792323
absolute error = 4.440892098500626e-16
relative error = 6.819280509343174e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2868
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4900000000000003
y[1] (analytic) = 0.6470412532187204
y[1] (numeric) = 0.6470412532187199
absolute error = 5.551115123125783e-16
relative error = 8.579229060761803e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2785
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5000000000000002
y[1] (analytic) = 0.642991899505424
y[1] (numeric) = 0.6429918995054237
absolute error = 3.33066907387547e-16
relative error = 5.179954951901184e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2702
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5100000000000002
y[1] (analytic) = 0.6390782454713411
y[1] (numeric) = 0.6390782454713406
absolute error = 4.440892098500626e-16
relative error = 6.948902000607647e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2617
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5200000000000002
y[1] (analytic) = 0.6353006824786134
y[1] (numeric) = 0.6353006824786128
absolute error = 5.551115123125783e-16
relative error = 8.737776105431232e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2531
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5300000000000002
y[1] (analytic) = 0.631659588280392
y[1] (numeric) = 0.6316595882803915
absolute error = 5.551115123125783e-16
relative error = 8.788143528760394e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2444
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5400000000000003
y[1] (analytic) = 0.6281553269830625
y[1] (numeric) = 0.6281553269830622
absolute error = 3.33066907387547e-16
relative error = 5.302301725072018e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2357
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5500000000000003
y[1] (analytic) = 0.6247882490098349
y[1] (numeric) = 0.6247882490098345
absolute error = 3.33066907387547e-16
relative error = 5.330876627647715e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2268
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5600000000000003
y[1] (analytic) = 0.6215586910657005
y[1] (numeric) = 0.6215586910656999
absolute error = 5.551115123125783e-16
relative error = 8.930958898841967e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2178
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5700000000000003
y[1] (analytic) = 0.6184669761037619
y[1] (numeric) = 0.6184669761037614
absolute error = 4.440892098500626e-16
relative error = 7.180483793132337e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2088
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5800000000000003
y[1] (analytic) = 0.6155134132929394
y[1] (numeric) = 0.615513413292939
absolute error = 4.440892098500626e-16
relative error = 7.214939597729101e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1997
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5900000000000003
y[1] (analytic) = 0.6126982979870528
y[1] (numeric) = 0.6126982979870522
absolute error = 5.551115123125783e-16
relative error = 9.060111871313026e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1905
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6000000000000003
y[1] (analytic) = 0.6100219116952862
y[1] (numeric) = 0.6100219116952859
absolute error = 3.33066907387547e-16
relative error = 5.459917111205641e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1812
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6100000000000003
y[1] (analytic) = 0.6074845220540392
y[1] (numeric) = 0.6074845220540387
absolute error = 5.551115123125783e-16
relative error = 9.137870878349686e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1718
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6200000000000003
y[1] (analytic) = 0.6050863828001608
y[1] (numeric) = 0.6050863828001605
absolute error = 3.33066907387547e-16
relative error = 5.50445220476144e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1624
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6300000000000003
y[1] (analytic) = 0.6028277337455786
y[1] (numeric) = 0.6028277337455781
absolute error = 5.551115123125783e-16
relative error = 9.208460083007082e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1529
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6400000000000003
y[1] (analytic) = 0.6007088007533152
y[1] (numeric) = 0.6007088007533148
absolute error = 4.440892098500626e-16
relative error = 7.392753515399729e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1434
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6500000000000004
y[1] (analytic) = 0.5987297957149045
y[1] (numeric) = 0.598729795714904
absolute error = 4.440892098500626e-16
relative error = 7.417189073074348e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1337
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6600000000000004
y[1] (analytic) = 0.596890916529201
y[1] (numeric) = 0.5968909165292006
absolute error = 4.440892098500626e-16
relative error = 7.440039671441992e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1241
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6700000000000004
y[1] (analytic) = 0.5951923470825911
y[1] (numeric) = 0.5951923470825905
absolute error = 5.551115123125783e-16
relative error = 9.3265902196748e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1144
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6800000000000004
y[1] (analytic) = 0.5936342572306034
y[1] (numeric) = 0.593634257230603
absolute error = 3.33066907387547e-16
relative error = 5.610641625389952e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1046
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6900000000000004
y[1] (analytic) = 0.5922168027809255
y[1] (numeric) = 0.5922168027809249
absolute error = 5.551115123125783e-16
relative error = 9.373450900175264e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09482
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7000000000000004
y[1] (analytic) = 0.5909401254778205
y[1] (numeric) = 0.59094012547782
absolute error = 4.440892098500626e-16
relative error = 7.514961172944254e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08498
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7100000000000004
y[1] (analytic) = 0.5898043529879551
y[1] (numeric) = 0.5898043529879546
absolute error = 4.440892098500626e-16
relative error = 7.529432558445898e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07511
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7200000000000004
y[1] (analytic) = 0.5888095988876317
y[1] (numeric) = 0.5888095988876314
absolute error = 3.33066907387547e-16
relative error = 5.656614770152708e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06521
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7300000000000004
y[1] (analytic) = 0.5879559626514317
y[1] (numeric) = 0.5879559626514312
absolute error = 4.440892098500626e-16
relative error = 7.553103260445032e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05528
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7400000000000004
y[1] (analytic) = 0.587243529642267
y[1] (numeric) = 0.5872435296422666
absolute error = 4.440892098500626e-16
relative error = 7.562266545884121e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04534
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7500000000000004
y[1] (analytic) = 0.586672371102845
y[1] (numeric) = 0.5866723711028445
absolute error = 4.440892098500626e-16
relative error = 7.569628837561412e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03537
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7600000000000005
y[1] (analytic) = 0.5862425441485435
y[1] (numeric) = 0.586242544148543
absolute error = 4.440892098500626e-16
relative error = 7.575178810931509e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02539
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7700000000000005
y[1] (analytic) = 0.5859540917617
y[1] (numeric) = 0.5859540917616994
absolute error = 5.551115123125783e-16
relative error = 9.473634882275641e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0154
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7800000000000005
y[1] (analytic) = 0.5858070427873124
y[1] (numeric) = 0.585807042787312
absolute error = 4.440892098500626e-16
relative error = 7.580810359278952e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.005398
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7900000000000005
y[1] (analytic) = 0.5858014119301561
y[1] (numeric) = 0.5858014119301557
absolute error = 4.440892098500626e-16
relative error = 7.580883227762012e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.004602
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8000000000000005
y[1] (analytic) = 0.5859371997533118
y[1] (numeric) = 0.5859371997533114
absolute error = 4.440892098500626e-16
relative error = 7.57912639847804e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0146
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8100000000000005
y[1] (analytic) = 0.5862143926781105
y[1] (numeric) = 0.58621439267811
absolute error = 4.440892098500626e-16
relative error = 7.575542589823641e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02459
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8200000000000005
y[1] (analytic) = 0.5866329629854907
y[1] (numeric) = 0.5866329629854902
absolute error = 5.551115123125783e-16
relative error = 9.462671676127888e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03457
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8300000000000005
y[1] (analytic) = 0.5871928688187702
y[1] (numeric) = 0.5871928688187698
absolute error = 4.440892098500626e-16
relative error = 7.562918990201927e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04454
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8400000000000005
y[1] (analytic) = 0.5878940541878326
y[1] (numeric) = 0.5878940541878321
absolute error = 4.440892098500626e-16
relative error = 7.5538986435841e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05449
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8500000000000005
y[1] (analytic) = 0.5887364489747251
y[1] (numeric) = 0.5887364489747247
absolute error = 4.440892098500626e-16
relative error = 7.543090131814273e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06442
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8600000000000005
y[1] (analytic) = 0.5897199689406712
y[1] (numeric) = 0.5897199689406707
absolute error = 5.551115123125783e-16
relative error = 9.413137447418289e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07433
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8700000000000006
y[1] (analytic) = 0.5908445157344938
y[1] (numeric) = 0.5908445157344933
absolute error = 5.551115123125783e-16
relative error = 9.395221543564724e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0842
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8800000000000006
y[1] (analytic) = 0.5921099769024506
y[1] (numeric) = 0.59210997690245
absolute error = 5.551115123125783e-16
relative error = 9.375142016970814e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09404
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8900000000000006
y[1] (analytic) = 0.5935162258994794
y[1] (numeric) = 0.5935162258994788
absolute error = 5.551115123125783e-16
relative error = 9.35292900326864e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1038
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9000000000000006
y[1] (analytic) = 0.5950631221018523
y[1] (numeric) = 0.5950631221018517
absolute error = 5.551115123125783e-16
relative error = 9.328615598826576e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1136
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9100000000000006
y[1] (analytic) = 0.596750510821238
y[1] (numeric) = 0.5967505108212376
absolute error = 3.33066907387547e-16
relative error = 5.581342644000185e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1233
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9200000000000006
y[1] (analytic) = 0.5985782233201714
y[1] (numeric) = 0.5985782233201707
absolute error = 6.661338147750939e-16
relative error = 1.112860088828838e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.133
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9300000000000006
y[1] (analytic) = 0.6005460768289247
y[1] (numeric) = 0.6005460768289242
absolute error = 4.440892098500626e-16
relative error = 7.394756655392633e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1426
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9400000000000006
y[1] (analytic) = 0.6026538745637877
y[1] (numeric) = 0.6026538745637872
absolute error = 5.551115123125783e-16
relative error = 9.211116625017611e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1522
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9500000000000006
y[1] (analytic) = 0.604901405746743
y[1] (numeric) = 0.6049014057467424
absolute error = 5.551115123125783e-16
relative error = 9.176892416497202e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1616
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9600000000000006
y[1] (analytic) = 0.6072884456265452
y[1] (numeric) = 0.6072884456265447
absolute error = 4.440892098500626e-16
relative error = 7.312656992706187e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1711
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9700000000000006
y[1] (analytic) = 0.6098147555011957
y[1] (numeric) = 0.6098147555011952
absolute error = 4.440892098500626e-16
relative error = 7.282362485392367e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1804
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9800000000000006
y[1] (analytic) = 0.6124800827418125
y[1] (numeric) = 0.6124800827418119
absolute error = 6.661338147750939e-16
relative error = 1.087600778449964e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1897
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9900000000000007
y[1] (analytic) = 0.6152841608178923
y[1] (numeric) = 0.6152841608178916
absolute error = 6.661338147750939e-16
relative error = 1.082644178406295e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1989
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.000000000000001
y[1] (analytic) = 0.6182267093239638
y[1] (numeric) = 0.6182267093239635
absolute error = 3.33066907387547e-16
relative error = 5.387455804873886e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2081
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.010000000000001
y[1] (analytic) = 0.6213074340076296
y[1] (numeric) = 0.6213074340076291
absolute error = 4.440892098500626e-16
relative error = 7.147656466711603e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2171
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.020000000000001
y[1] (analytic) = 0.6245260267989876
y[1] (numeric) = 0.6245260267989873
absolute error = 3.33066907387547e-16
relative error = 5.333114923883695e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2261
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.030000000000001
y[1] (analytic) = 0.6278821658414414
y[1] (numeric) = 0.6278821658414411
absolute error = 3.33066907387547e-16
relative error = 5.304608499927614e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.235
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.040000000000001
y[1] (analytic) = 0.6313755155238836
y[1] (numeric) = 0.631375515523883
absolute error = 5.551115123125783e-16
relative error = 8.792097549933888e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2437
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.050000000000001
y[1] (analytic) = 0.6350057265142564
y[1] (numeric) = 0.635005726514256
absolute error = 3.33066907387547e-16
relative error = 5.245100846819991e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2524
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.060000000000001
y[1] (analytic) = 0.6387724357944864
y[1] (numeric) = 0.6387724357944861
absolute error = 3.33066907387547e-16
relative error = 5.214171569148693e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.261
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.070000000000001
y[1] (analytic) = 0.6426752666967845
y[1] (numeric) = 0.6426752666967842
absolute error = 3.33066907387547e-16
relative error = 5.182507008546333e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2695
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.080000000000001
y[1] (analytic) = 0.6467138289413128
y[1] (numeric) = 0.6467138289413125
absolute error = 3.33066907387547e-16
relative error = 5.150143579468311e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2778
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.090000000000001
y[1] (analytic) = 0.6508877186752122
y[1] (numeric) = 0.6508877186752119
absolute error = 3.33066907387547e-16
relative error = 5.117117712183239e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2861
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.100000000000001
y[1] (analytic) = 0.6551965185129875
y[1] (numeric) = 0.6551965185129873
absolute error = 2.220446049250313e-16
relative error = 3.388977179380874e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2943
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.110000000000001
y[1] (analytic) = 0.6596397975782458
y[1] (numeric) = 0.6596397975782455
absolute error = 2.220446049250313e-16
relative error = 3.366149309672187e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3023
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.120000000000001
y[1] (analytic) = 0.6642171115467832
y[1] (numeric) = 0.6642171115467829
absolute error = 3.33066907387547e-16
relative error = 5.014428288544443e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3102
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.130000000000001
y[1] (analytic) = 0.668928002691017
y[1] (numeric) = 0.6689280026910168
absolute error = 2.220446049250313e-16
relative error = 3.319409623035252e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.318
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.140000000000001
y[1] (analytic) = 0.6737719999257589
y[1] (numeric) = 0.6737719999257586
absolute error = 2.220446049250313e-16
relative error = 3.295545153991229e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3256
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.150000000000001
y[1] (analytic) = 0.678748618855322
y[1] (numeric) = 0.6787486188553217
absolute error = 3.33066907387547e-16
relative error = 4.90707307735298e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3331
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.160000000000001
y[1] (analytic) = 0.6838573618219602
y[1] (numeric) = 0.68385736182196
absolute error = 2.220446049250313e-16
relative error = 3.246943256316656e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3405
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.170000000000001
y[1] (analytic) = 0.6890977179556345
y[1] (numeric) = 0.6890977179556342
absolute error = 2.220446049250313e-16
relative error = 3.2222513460613e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3478
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.180000000000001
y[1] (analytic) = 0.6944691632250983
y[1] (numeric) = 0.694469163225098
absolute error = 3.33066907387547e-16
relative error = 4.795992752806937e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3549
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.190000000000001
y[1] (analytic) = 0.6999711604903008
y[1] (numeric) = 0.6999711604903005
absolute error = 3.33066907387547e-16
relative error = 4.758294715374379e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3619
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.200000000000001
y[1] (analytic) = 0.7056031595561006
y[1] (numeric) = 0.7056031595561002
absolute error = 4.440892098500626e-16
relative error = 6.293753136386775e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3687
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.210000000000001
y[1] (analytic) = 0.7113645972272843
y[1] (numeric) = 0.7113645972272838
absolute error = 4.440892098500626e-16
relative error = 6.24277918216633e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3754
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.220000000000001
y[1] (analytic) = 0.7172548973648859
y[1] (numeric) = 0.7172548973648856
absolute error = 3.33066907387547e-16
relative error = 4.643633785021161e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3819
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.230000000000001
y[1] (analytic) = 0.7232734709438003
y[1] (numeric) = 0.7232734709438001
absolute error = 2.220446049250313e-16
relative error = 3.069995151837728e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3883
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.240000000000001
y[1] (analytic) = 0.7294197161116854
y[1] (numeric) = 0.729419716111685
absolute error = 4.440892098500626e-16
relative error = 6.088253443673926e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3945
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.250000000000001
y[1] (analytic) = 0.7356930182491456
y[1] (numeric) = 0.7356930182491453
absolute error = 2.220446049250313e-16
relative error = 3.018169255615186e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4006
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.260000000000001
y[1] (analytic) = 0.7420927500311955
y[1] (numeric) = 0.7420927500311951
absolute error = 3.33066907387547e-16
relative error = 4.488211310156928e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4065
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.270000000000001
y[1] (analytic) = 0.7486182714899896
y[1] (numeric) = 0.7486182714899893
absolute error = 3.33066907387547e-16
relative error = 4.449088675389092e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4122
Order of pole (three term test) = 22.22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.280000000000001
y[1] (analytic) = 0.7552689300788202
y[1] (numeric) = 0.7552689300788198
absolute error = 4.440892098500626e-16
relative error = 5.879881882652279e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4178
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.290000000000001
y[1] (analytic) = 0.7620440607373703
y[1] (numeric) = 0.76204406073737
absolute error = 3.33066907387547e-16
relative error = 4.370704064870793e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4232
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.300000000000001
y[1] (analytic) = 0.7689429859582203
y[1] (numeric) = 0.7689429859582199
absolute error = 4.440892098500626e-16
relative error = 5.775320380829792e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4284
Order of pole (three term test) = 22.24
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.310000000000001
y[1] (analytic) = 0.775965015854597
y[1] (numeric) = 0.7759650158545965
absolute error = 4.440892098500626e-16
relative error = 5.723057106652829e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4335
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.320000000000001
y[1] (analytic) = 0.7831094482293626
y[1] (numeric) = 0.783109448229362
absolute error = 5.551115123125783e-16
relative error = 7.088555930051726e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4384
Order of pole (three term test) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.330000000000001
y[1] (analytic) = 0.790375568645233
y[1] (numeric) = 0.7903755686452325
absolute error = 4.440892098500626e-16
relative error = 5.618711249023892e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4431
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.340000000000001
y[1] (analytic) = 0.797762650496222
y[1] (numeric) = 0.7977626504962214
absolute error = 5.551115123125783e-16
relative error = 6.958354241920068e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4477
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.350000000000001
y[1] (analytic) = 0.8052699550803
y[1] (numeric) = 0.8052699550802996
absolute error = 3.33066907387547e-16
relative error = 4.136090081174507e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.452
Order of pole (three term test) = 22.29
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.360000000000001
y[1] (analytic) = 0.8128967316732651
y[1] (numeric) = 0.8128967316732647
absolute error = 4.440892098500626e-16
relative error = 5.463045827923926e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4562
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.370000000000001
y[1] (analytic) = 0.8206422176038135
y[1] (numeric) = 0.8206422176038131
absolute error = 4.440892098500626e-16
relative error = 5.411483839410006e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4602
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.380000000000001
y[1] (analytic) = 0.8285056383298066
y[1] (numeric) = 0.8285056383298062
absolute error = 4.440892098500626e-16
relative error = 5.360122964827455e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.464
Order of pole (three term test) = 22.31
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.390000000000001
y[1] (analytic) = 0.8364862075157249
y[1] (numeric) = 0.8364862075157242
absolute error = 6.661338147750939e-16
relative error = 7.96347637044059e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4677
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.400000000000001
y[1] (analytic) = 0.8445831271112998
y[1] (numeric) = 0.8445831271112991
absolute error = 6.661338147750939e-16
relative error = 7.887131454466178e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4711
Order of pole (three term test) = 22.33
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.410000000000001
y[1] (analytic) = 0.8527955874313193
y[1] (numeric) = 0.8527955874313187
absolute error = 6.661338147750939e-16
relative error = 7.811178019594779e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4744
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.420000000000001
y[1] (analytic) = 0.8611227672365953
y[1] (numeric) = 0.8611227672365946
absolute error = 6.661338147750939e-16
relative error = 7.735642815632027e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4774
Order of pole (three term test) = 22.35
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.430000000000001
y[1] (analytic) = 0.8695638338160864
y[1] (numeric) = 0.8695638338160858
absolute error = 5.551115123125783e-16
relative error = 6.383792548920392e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4803
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.440000000000001
y[1] (analytic) = 0.878117943070169
y[1] (numeric) = 0.8781179430701683
absolute error = 6.661338147750939e-16
relative error = 7.58592646958205e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.483
Order of pole (three term test) = 22.37
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.450000000000001
y[1] (analytic) = 0.8867842395950459
y[1] (numeric) = 0.8867842395950453
absolute error = 6.661338147750939e-16
relative error = 7.511791313288191e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4855
Order of pole (three term test) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.460000000000001
y[1] (analytic) = 0.8955618567682866
y[1] (numeric) = 0.8955618567682859
absolute error = 6.661338147750939e-16
relative error = 7.438166439768841e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4878
Order of pole (three term test) = 22.39
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.470000000000001
y[1] (analytic) = 0.9044499168354883
y[1] (numeric) = 0.9044499168354877
absolute error = 5.551115123125783e-16
relative error = 6.137559437838373e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4899
Order of pole (three term test) = 22.4
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.480000000000001
y[1] (analytic) = 0.9134475309980512
y[1] (numeric) = 0.9134475309980506
absolute error = 5.551115123125783e-16
relative error = 6.077103429313036e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4918
Order of pole (three term test) = 22.41
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.490000000000001
y[1] (analytic) = 0.922553799502057
y[1] (numeric) = 0.9225537995020564
absolute error = 5.551115123125783e-16
relative error = 6.017118054385516e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4935
Order of pole (three term test) = 22.42
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.500000000000001
y[1] (analytic) = 0.9317678117282437
y[1] (numeric) = 0.9317678117282431
absolute error = 6.661338147750939e-16
relative error = 7.149139585961317e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.495
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.510000000000001
y[1] (analytic) = 0.9410886462830669
y[1] (numeric) = 0.9410886462830664
absolute error = 4.440892098500626e-16
relative error = 4.718888189800629e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4963
Order of pole (three term test) = 22.44
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.520000000000001
y[1] (analytic) = 0.9505153710908388
y[1] (numeric) = 0.9505153710908383
absolute error = 5.551115123125783e-16
relative error = 5.840110840874844e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4974
Order of pole (three term test) = 22.45
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.530000000000001
y[1] (analytic) = 0.960047043486934
y[1] (numeric) = 0.9600470434869334
absolute error = 6.661338147750939e-16
relative error = 6.938553889564265e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4983
Order of pole (three term test) = 22.46
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.540000000000001
y[1] (analytic) = 0.969682710312056
y[1] (numeric) = 0.9696827103120552
absolute error = 7.771561172376096e-16
relative error = 8.01454031275355e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4991
Order of pole (three term test) = 22.47
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.550000000000001
y[1] (analytic) = 0.9794214080075516
y[1] (numeric) = 0.979421408007551
absolute error = 6.661338147750939e-16
relative error = 6.801299311296632e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4996
Order of pole (three term test) = 22.48
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.560000000000001
y[1] (analytic) = 0.9892621627117675
y[1] (numeric) = 0.9892621627117667
absolute error = 7.771561172376096e-16
relative error = 7.855916727950735e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4999
Order of pole (three term test) = 22.49
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.570000000000001
y[1] (analytic) = 0.9992039903574333
y[1] (numeric) = 0.9992039903574325
absolute error = 8.881784197001252e-16
relative error = 8.888859815125516e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.5
Order of pole (three term test) = 22.5
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.580000000000001
y[1] (analytic) = 1.009245896770069
y[1] (numeric) = 1.009245896770069
absolute error = 6.661338147750939e-16
relative error = 6.600312341194045e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4999
Order of pole (three term test) = 22.51
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.590000000000001
y[1] (analytic) = 1.019386877767403
y[1] (numeric) = 1.019386877767402
absolute error = 6.661338147750939e-16
relative error = 6.534651654865506e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4996
Order of pole (three term test) = 22.52
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.600000000000001
y[1] (analytic) = 1.029625919259785
y[1] (numeric) = 1.029625919259784
absolute error = 1.110223024625157e-15
relative error = 1.078278046286281e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4991
Order of pole (three term test) = 22.53
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.610000000000001
y[1] (analytic) = 1.039961997351598
y[1] (numeric) = 1.039961997351597
absolute error = 6.661338147750939e-16
relative error = 6.405366892939285e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4985
Order of pole (three term test) = 22.54
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.620000000000001
y[1] (analytic) = 1.050394078443648
y[1] (numeric) = 1.050394078443647
absolute error = 8.881784197001252e-16
relative error = 8.455668571705252e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4976
Order of pole (three term test) = 22.55
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.630000000000001
y[1] (analytic) = 1.060921119336517
y[1] (numeric) = 1.060921119336516
absolute error = 1.110223024625157e-15
relative error = 1.046470849142368e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4965
Order of pole (three term test) = 22.56
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.640000000000001
y[1] (analytic) = 1.07154206733489
y[1] (numeric) = 1.071542067334889
absolute error = 1.332267629550188e-15
relative error = 1.243318083501628e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4952
Order of pole (three term test) = 22.57
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.650000000000001
y[1] (analytic) = 1.082255860352817
y[1] (numeric) = 1.082255860352815
absolute error = 1.332267629550188e-15
relative error = 1.231009854837716e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4937
Order of pole (three term test) = 22.58
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.660000000000001
y[1] (analytic) = 1.093061427019924
y[1] (numeric) = 1.093061427019922
absolute error = 1.332267629550188e-15
relative error = 1.218840585366209e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4921
Order of pole (three term test) = 22.59
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.670000000000001
y[1] (analytic) = 1.103957686788549
y[1] (numeric) = 1.103957686788548
absolute error = 1.554312234475219e-15
relative error = 1.407945479320649e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4902
Order of pole (three term test) = 22.6
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.680000000000001
y[1] (analytic) = 1.114943550041797
y[1] (numeric) = 1.114943550041795
absolute error = 1.332267629550188e-15
relative error = 1.194919356679757e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4881
Order of pole (three term test) = 22.61
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.690000000000001
y[1] (analytic) = 1.126017918202495
y[1] (numeric) = 1.126017918202494
absolute error = 1.554312234475219e-15
relative error = 1.380361901306532e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4859
Order of pole (three term test) = 22.62
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.700000000000001
y[1] (analytic) = 1.137179683843057
y[1] (numeric) = 1.137179683843056
absolute error = 1.332267629550188e-15
relative error = 1.17155419541777e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4834
Order of pole (three term test) = 22.63
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.710000000000001
y[1] (analytic) = 1.148427730796221
y[1] (numeric) = 1.14842773079622
absolute error = 1.332267629550188e-15
relative error = 1.160079640907407e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4807
Order of pole (three term test) = 22.64
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.720000000000001
y[1] (analytic) = 1.159760934266663
y[1] (numeric) = 1.159760934266662
absolute error = 1.110223024625157e-15
relative error = 9.572861025252325e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4779
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.730000000000001
y[1] (analytic) = 1.171178160943483
y[1] (numeric) = 1.171178160943481
absolute error = 1.332267629550188e-15
relative error = 1.137544802301414e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4749
Order of pole (three term test) = 22.66
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.740000000000001
y[1] (analytic) = 1.182678269113525
y[1] (numeric) = 1.182678269113524
absolute error = 1.554312234475219e-15
relative error = 1.314230822589014e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4716
Order of pole (three term test) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.750000000000001
y[1] (analytic) = 1.194260108775557
y[1] (numeric) = 1.194260108775555
absolute error = 1.554312234475219e-15
relative error = 1.301485516474978e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4682
Order of pole (three term test) = 22.68
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.760000000000001
y[1] (analytic) = 1.205922521755263
y[1] (numeric) = 1.205922521755262
absolute error = 1.332267629550188e-15
relative error = 1.10477050184868e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4646
Order of pole (three term test) = 22.68
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.770000000000001
y[1] (analytic) = 1.217664341821065
y[1] (numeric) = 1.217664341821064
absolute error = 1.110223024625157e-15
relative error = 9.11764421847793e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4608
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.780000000000001
y[1] (analytic) = 1.229484394800741
y[1] (numeric) = 1.229484394800739
absolute error = 1.332267629550188e-15
relative error = 1.083598649307058e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4569
Order of pole (three term test) = 22.7
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.790000000000001
y[1] (analytic) = 1.241381498698842
y[1] (numeric) = 1.241381498698841
absolute error = 1.332267629550188e-15
relative error = 1.073213698566161e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4527
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.800000000000001
y[1] (analytic) = 1.253354463814893
y[1] (numeric) = 1.253354463814892
absolute error = 1.110223024625157e-15
relative error = 8.858013089496799e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4484
Order of pole (three term test) = 22.72
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.810000000000001
y[1] (analytic) = 1.265402092862361
y[1] (numeric) = 1.265402092862359
absolute error = 1.332267629550188e-15
relative error = 1.052841335623664e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4439
Order of pole (three term test) = 22.73
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.820000000000001
y[1] (analytic) = 1.277523181088379
y[1] (numeric) = 1.277523181088378
absolute error = 1.554312234475219e-15
relative error = 1.21666068959393e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4392
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.830000000000001
y[1] (analytic) = 1.289716516394227
y[1] (numeric) = 1.289716516394225
absolute error = 1.554312234475219e-15
relative error = 1.205158044203966e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4343
Order of pole (three term test) = 22.75
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.840000000000001
y[1] (analytic) = 1.301980879456534
y[1] (numeric) = 1.301980879456532
absolute error = 1.332267629550188e-15
relative error = 1.023262054436849e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4293
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.850000000000001
y[1] (analytic) = 1.314315043849215
y[1] (numeric) = 1.314315043849213
absolute error = 1.554312234475219e-15
relative error = 1.182602483133061e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4241
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.860000000000001
y[1] (analytic) = 1.326717776166108
y[1] (numeric) = 1.326717776166107
absolute error = 1.332267629550188e-15
relative error = 1.00418314541629e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4187
Order of pole (three term test) = 22.77
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.870000000000001
y[1] (analytic) = 1.339187836144319
y[1] (numeric) = 1.339187836144317
absolute error = 1.332267629550188e-15
relative error = 9.948325347592353e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4131
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.880000000000001
y[1] (analytic) = 1.35172397678824
y[1] (numeric) = 1.351723976788238
absolute error = 1.554312234475219e-15
relative error = 1.149873984012874e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4074
Order of pole (three term test) = 22.79
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.890000000000001
y[1] (analytic) = 1.364324944494254
y[1] (numeric) = 1.364324944494252
absolute error = 1.554312234475219e-15
relative error = 1.139253695204842e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4015
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.900000000000001
y[1] (analytic) = 1.376989479176091
y[1] (numeric) = 1.376989479176089
absolute error = 1.554312234475219e-15
relative error = 1.128775679103393e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3955
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.910000000000001
y[1] (analytic) = 1.389716314390836
y[1] (numeric) = 1.389716314390835
absolute error = 1.332267629550188e-15
relative error = 9.586615741315303e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3893
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.920000000000001
y[1] (analytic) = 1.402504177465575
y[1] (numeric) = 1.402504177465574
absolute error = 1.332267629550188e-15
relative error = 9.499206141101771e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3829
Order of pole (three term test) = 22.82
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.930000000000001
y[1] (analytic) = 1.415351789624656
y[1] (numeric) = 1.415351789624654
absolute error = 1.554312234475219e-15
relative error = 1.098180852187579e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3764
Order of pole (three term test) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.940000000000002
y[1] (analytic) = 1.428257866117569
y[1] (numeric) = 1.428257866117567
absolute error = 1.332267629550188e-15
relative error = 9.327920826872034e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3698
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.950000000000002
y[1] (analytic) = 1.441221116347419
y[1] (numeric) = 1.441221116347418
absolute error = 1.110223024625157e-15
relative error = 7.703349694451238e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.363
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.960000000000002
y[1] (analytic) = 1.454240243999988
y[1] (numeric) = 1.454240243999987
absolute error = 1.332267629550188e-15
relative error = 9.161262281434969e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.356
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.970000000000002
y[1] (analytic) = 1.467313947173359
y[1] (numeric) = 1.467313947173357
absolute error = 1.332267629550188e-15
relative error = 9.079635834694242e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3489
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.980000000000002
y[1] (analytic) = 1.480440918508108
y[1] (numeric) = 1.480440918508107
absolute error = 1.332267629550188e-15
relative error = 8.999127306564591e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3417
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.990000000000002
y[1] (analytic) = 1.493619845318042
y[1] (numeric) = 1.493619845318041
absolute error = 1.332267629550188e-15
relative error = 8.91972367484514e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3343
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.000000000000001
y[1] (analytic) = 1.506849409721462
y[1] (numeric) = 1.506849409721461
absolute error = 1.110223024625157e-15
relative error = 7.367843246063842e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3268
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.010000000000001
y[1] (analytic) = 1.520128288772953
y[1] (numeric) = 1.520128288772952
absolute error = 8.881784197001252e-16
relative error = 5.842785942869746e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3192
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.020000000000001
y[1] (analytic) = 1.533455154595674
y[1] (numeric) = 1.533455154595674
absolute error = 6.661338147750939e-16
relative error = 4.344005840527714e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3114
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.030000000000001
y[1] (analytic) = 1.54682867451415
y[1] (numeric) = 1.54682867451415
absolute error = 2.220446049250313e-16
relative error = 1.435482859759981e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3035
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 1.560247511187533
y[1] (numeric) = 1.560247511187533
absolute error = 0
relative error = 0 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2955
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 1.573710322743338
y[1] (numeric) = 1.573710322743338
absolute error = 6.661338147750939e-16
relative error = 4.232887114916233e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2874
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 1.587215762911628
y[1] (numeric) = 1.587215762911629
absolute error = 6.661338147750939e-16
relative error = 4.196869955179386e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2792
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 1.600762481159642
y[1] (numeric) = 1.600762481159643
absolute error = 8.881784197001252e-16
relative error = 5.548470995251597e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2708
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 1.614349122826843
y[1] (numeric) = 1.614349122826844
absolute error = 1.110223024625157e-15
relative error = 6.877217628619734e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2624
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.089999999999999
y[1] (analytic) = 1.627974329260386
y[1] (numeric) = 1.627974329260387
absolute error = 1.554312234475219e-15
relative error = 9.547522995533766e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2538
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.099999999999999
y[1] (analytic) = 1.641636737950983
y[1] (numeric) = 1.641636737950984
absolute error = 1.77635683940025e-15
relative error = 1.082064502051422e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2451
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.109999999999999
y[1] (analytic) = 1.655334982669149
y[1] (numeric) = 1.655334982669151
absolute error = 1.998401444325282e-15
relative error = 1.207248964860849e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2364
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.119999999999999
y[1] (analytic) = 1.669067693601829
y[1] (numeric) = 1.669067693601832
absolute error = 2.442490654175344e-15
relative error = 1.463386214674419e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2275
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.129999999999999
y[1] (analytic) = 1.682833497489373
y[1] (numeric) = 1.682833497489376
absolute error = 2.886579864025407e-15
relative error = 1.715309249745687e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2186
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.139999999999998
y[1] (analytic) = 1.696631017762864
y[1] (numeric) = 1.696631017762867
absolute error = 2.886579864025407e-15
relative error = 1.701359832399847e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2095
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.149999999999998
y[1] (analytic) = 1.710458874681771
y[1] (numeric) = 1.710458874681774
absolute error = 3.552713678800501e-15
relative error = 2.077052965954227e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2004
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.159999999999998
y[1] (analytic) = 1.724315685471927
y[1] (numeric) = 1.72431568547193
absolute error = 3.552713678800501e-15
relative error = 2.060361515431069e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1912
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.169999999999998
y[1] (analytic) = 1.738200064463799
y[1] (numeric) = 1.738200064463803
absolute error = 3.996802888650564e-15
relative error = 2.299391750329672e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1819
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.179999999999997
y[1] (analytic) = 1.752110623231059
y[1] (numeric) = 1.752110623231063
absolute error = 4.218847493575595e-15
relative error = 2.407865940448234e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1726
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.189999999999997
y[1] (analytic) = 1.766045970729422
y[1] (numeric) = 1.766045970729426
absolute error = 4.440892098500626e-15
relative error = 2.514595980005223e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1632
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.199999999999997
y[1] (analytic) = 1.780004713435751
y[1] (numeric) = 1.780004713435756
absolute error = 4.662936703425657e-15
relative error = 2.619620424726457e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1537
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.209999999999997
y[1] (analytic) = 1.793985455487408
y[1] (numeric) = 1.793985455487413
absolute error = 4.884981308350689e-15
relative error = 2.722977097394297e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1441
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.219999999999997
y[1] (analytic) = 1.807986798821838
y[1] (numeric) = 1.807986798821843
absolute error = 5.10702591327572e-15
relative error = 2.824703098829968e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1345
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.229999999999996
y[1] (analytic) = 1.822007343316375
y[1] (numeric) = 1.822007343316381
absolute error = 5.773159728050814e-15
relative error = 3.16857105391389e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1249
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.239999999999996
y[1] (analytic) = 1.836045686928255
y[1] (numeric) = 1.83604568692826
absolute error = 5.329070518200751e-15
relative error = 2.90247163027648e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1152
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.249999999999996
y[1] (analytic) = 1.850100425834812
y[1] (numeric) = 1.850100425834818
absolute error = 5.995204332975845e-15
relative error = 3.240475084086669e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1054
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.259999999999996
y[1] (analytic) = 1.864170154573871
y[1] (numeric) = 1.864170154573877
absolute error = 5.995204332975845e-15
relative error = 3.216017764401063e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0956
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.269999999999996
y[1] (analytic) = 1.878253466184281
y[1] (numeric) = 1.878253466184287
absolute error = 6.217248937900877e-15
relative error = 3.310122435462012e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08577
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.279999999999995
y[1] (analytic) = 1.892348952346617
y[1] (numeric) = 1.892348952346624
absolute error = 6.661338147750939e-15
relative error = 3.52014259288199e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0759
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.289999999999995
y[1] (analytic) = 1.90645520352401
y[1] (numeric) = 1.906455203524017
absolute error = 6.883382752675971e-15
relative error = 3.610566217319084e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.066
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.299999999999995
y[1] (analytic) = 1.920570809103097
y[1] (numeric) = 1.920570809103104
absolute error = 7.327471962526033e-15
relative error = 3.815257384833392e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05608
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.309999999999995
y[1] (analytic) = 1.934694357535083
y[1] (numeric) = 1.93469435753509
absolute error = 7.549516567451064e-15
relative error = 3.902175316761457e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04613
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.319999999999995
y[1] (analytic) = 1.948824436476894
y[1] (numeric) = 1.948824436476901
absolute error = 7.771561172376096e-15
relative error = 3.987820055471806e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03616
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.329999999999994
y[1] (analytic) = 1.962959632932411
y[1] (numeric) = 1.962959632932419
absolute error = 8.215650382226158e-15
relative error = 4.185338426930883e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02618
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.339999999999994
y[1] (analytic) = 1.977098533393768
y[1] (numeric) = 1.977098533393776
absolute error = 8.43769498715119e-15
relative error = 4.267715970972652e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01619
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.349999999999994
y[1] (analytic) = 1.991239723982701
y[1] (numeric) = 1.99123972398271
absolute error = 8.881784197001252e-15
relative error = 4.46042939482781e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.006194
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.359999999999994
y[1] (analytic) = 2.005381790591936
y[1] (numeric) = 2.005381790591945
absolute error = 8.881784197001252e-15
relative error = 4.428974192679581e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.003805
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.369999999999993
y[1] (analytic) = 2.019523319026596
y[1] (numeric) = 2.019523319026605
absolute error = 9.325873406851315e-15
relative error = 4.617858738737594e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0138
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.379999999999993
y[1] (analytic) = 2.033662895145623
y[1] (numeric) = 2.033662895145632
absolute error = 9.769962616701378e-15
relative error = 4.804120997645378e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0238
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.389999999999993
y[1] (analytic) = 2.047799105003187
y[1] (numeric) = 2.047799105003198
absolute error = 1.021405182655144e-14
relative error = 4.987819264886114e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03378
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.399999999999993
y[1] (analytic) = 2.061930534990084
y[1] (numeric) = 2.061930534990095
absolute error = 1.06581410364015e-14
relative error = 5.169010718614126e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04375
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.409999999999993
y[1] (analytic) = 2.076055771975091
y[1] (numeric) = 2.076055771975101
absolute error = 1.06581410364015e-14
relative error = 5.133841383394869e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0537
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.419999999999992
y[1] (analytic) = 2.09017340344628
y[1] (numeric) = 2.09017340344629
absolute error = 1.06581410364015e-14
relative error = 5.099165944236182e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06363
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.429999999999992
y[1] (analytic) = 2.104282017652268
y[1] (numeric) = 2.104282017652279
absolute error = 1.110223024625157e-14
relative error = 5.276018211018238e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07354
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.439999999999992
y[1] (analytic) = 2.118380203743392
y[1] (numeric) = 2.118380203743404
absolute error = 1.154631945610163e-14
relative error = 5.450541614625228e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08341
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.449999999999992
y[1] (analytic) = 2.132466551912792
y[1] (numeric) = 2.132466551912804
absolute error = 1.199040866595169e-14
relative error = 5.622788622497486e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09326
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.459999999999992
y[1] (analytic) = 2.146539653537389
y[1] (numeric) = 2.146539653537401
absolute error = 1.199040866595169e-14
relative error = 5.585924604836487e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1031
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.469999999999991
y[1] (analytic) = 2.160598101318748
y[1] (numeric) = 2.160598101318761
absolute error = 1.243449787580175e-14
relative error = 5.755118394398385e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1128
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.479999999999991
y[1] (analytic) = 2.174640489423807
y[1] (numeric) = 2.17464048942382
absolute error = 1.287858708565182e-14
relative error = 5.922168353015504e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1225
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.489999999999991
y[1] (analytic) = 2.188665413625456
y[1] (numeric) = 2.18866541362547
absolute error = 1.332267629550188e-14
relative error = 6.087123327559363e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1322
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.499999999999991
y[1] (analytic) = 2.202671471442964
y[1] (numeric) = 2.202671471442978
absolute error = 1.332267629550188e-14
relative error = 6.048417327879689e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1418
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.50999999999999
y[1] (analytic) = 2.21665726228222
y[1] (numeric) = 2.216657262282234
absolute error = 1.376676550535194e-14
relative error = 6.210597253622326e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1514
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.51999999999999
y[1] (analytic) = 2.230621387575794
y[1] (numeric) = 2.230621387575809
absolute error = 1.4210854715202e-14
relative error = 6.370805370357426e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1609
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.52999999999999
y[1] (analytic) = 2.244562450922796
y[1] (numeric) = 2.244562450922809
absolute error = 1.376676550535194e-14
relative error = 6.133384927513191e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1703
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.53999999999999
y[1] (analytic) = 2.258479058228505
y[1] (numeric) = 2.25847905822852
absolute error = 1.4210854715202e-14
relative error = 6.29222337193095e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1797
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.54999999999999
y[1] (analytic) = 2.272369817843791
y[1] (numeric) = 2.272369817843805
absolute error = 1.4210854715202e-14
relative error = 6.253759666939431e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.189
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.559999999999989
y[1] (analytic) = 2.286233340704266
y[1] (numeric) = 2.286233340704281
absolute error = 1.465494392505207e-14
relative error = 6.410082323678151e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1982
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.569999999999989
y[1] (analytic) = 2.300068240469198
y[1] (numeric) = 2.300068240469213
absolute error = 1.509903313490213e-14
relative error = 6.564602244941234e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2073
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.579999999999989
y[1] (analytic) = 2.313873133660139
y[1] (numeric) = 2.313873133660154
absolute error = 1.509903313490213e-14
relative error = 6.525436902851335e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2164
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.589999999999989
y[1] (analytic) = 2.327646639799274
y[1] (numeric) = 2.32764663979929
absolute error = 1.554312234475219e-14
relative error = 6.677612520297566e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2254
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.599999999999989
y[1] (analytic) = 2.341387381547467
y[1] (numeric) = 2.341387381547483
absolute error = 1.598721155460225e-14
relative error = 6.828093326460145e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2343
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.609999999999988
y[1] (analytic) = 2.355093984841994
y[1] (numeric) = 2.35509398484201
absolute error = 1.598721155460225e-14
relative error = 6.788353949991024e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.243
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.619999999999988
y[1] (analytic) = 2.368765079033948
y[1] (numeric) = 2.368765079033964
absolute error = 1.643130076445232e-14
relative error = 6.93665273516844e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2517
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.629999999999988
y[1] (analytic) = 2.382399297025301
y[1] (numeric) = 2.382399297025318
absolute error = 1.687538997430238e-14
relative error = 7.083359198171877e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2603
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.639999999999988
y[1] (analytic) = 2.395995275405617
y[1] (numeric) = 2.395995275405634
absolute error = 1.687538997430238e-14
relative error = 7.043164962604342e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2688
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.649999999999987
y[1] (analytic) = 2.409551654588387
y[1] (numeric) = 2.409551654588404
absolute error = 1.731947918415244e-14
relative error = 7.187843079093921e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2772
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.659999999999987
y[1] (analytic) = 2.423067078946989
y[1] (numeric) = 2.423067078947007
absolute error = 1.77635683940025e-14
relative error = 7.331026263508212e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2855
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.669999999999987
y[1] (analytic) = 2.436540196950252
y[1] (numeric) = 2.436540196950271
absolute error = 1.820765760385257e-14
relative error = 7.472750758080072e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2936
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.679999999999987
y[1] (analytic) = 2.449969661297603
y[1] (numeric) = 2.449969661297621
absolute error = 1.865174681370263e-14
relative error = 7.613052156663814e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3016
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.689999999999987
y[1] (analytic) = 2.463354129053797
y[1] (numeric) = 2.463354129053816
absolute error = 1.865174681370263e-14
relative error = 7.571687153591262e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3096
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.699999999999986
y[1] (analytic) = 2.476692261783213
y[1] (numeric) = 2.476692261783232
absolute error = 1.909583602355269e-14
relative error = 7.71021750187233e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3173
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.709999999999986
y[1] (analytic) = 2.489982725683693
y[1] (numeric) = 2.489982725683712
absolute error = 1.953992523340276e-14
relative error = 7.847413972736512e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.325
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.719999999999986
y[1] (analytic) = 2.503224191719922
y[1] (numeric) = 2.503224191719942
absolute error = 1.953992523340276e-14
relative error = 7.805903002230579e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3325
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.729999999999986
y[1] (analytic) = 2.516415335756331
y[1] (numeric) = 2.516415335756351
absolute error = 1.998401444325282e-14
relative error = 7.941461077309181e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3399
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.739999999999986
y[1] (analytic) = 2.529554838689509
y[1] (numeric) = 2.529554838689529
absolute error = 1.998401444325282e-14
relative error = 7.900210004383999e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3472
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.749999999999985
y[1] (analytic) = 2.542641386580113
y[1] (numeric) = 2.542641386580133
absolute error = 2.087219286295294e-14
relative error = 8.208862237952607e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3543
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.759999999999985
y[1] (analytic) = 2.555673670784258
y[1] (numeric) = 2.555673670784279
absolute error = 2.087219286295294e-14
relative error = 8.167002345236005e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3613
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.769999999999985
y[1] (analytic) = 2.568650388084384
y[1] (numeric) = 2.568650388084406
absolute error = 2.176037128265307e-14
relative error = 8.471519278604998e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3682
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.779999999999985
y[1] (analytic) = 2.581570240819576
y[1] (numeric) = 2.581570240819598
absolute error = 2.176037128265307e-14
relative error = 8.429122298738911e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3749
Order of pole (three term test) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.789999999999984
y[1] (analytic) = 2.594431937015326
y[1] (numeric) = 2.594431937015348
absolute error = 2.176037128265307e-14
relative error = 8.387335575157361e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3814
Order of pole (three term test) = 22.82
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.799999999999984
y[1] (analytic) = 2.607234190512733
y[1] (numeric) = 2.607234190512755
absolute error = 2.220446049250313e-14
relative error = 8.516481017816221e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3878
Order of pole (three term test) = 22.82
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.809999999999984
y[1] (analytic) = 2.619975721097116
y[1] (numeric) = 2.619975721097138
absolute error = 2.264854970235319e-14
relative error = 8.644564726297963e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.394
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.819999999999984
y[1] (analytic) = 2.632655254626033
y[1] (numeric) = 2.632655254626056
absolute error = 2.264854970235319e-14
relative error = 8.602930316286476e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4001
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.829999999999984
y[1] (analytic) = 2.645271523156699
y[1] (numeric) = 2.645271523156722
absolute error = 2.353672812205332e-14
relative error = 8.897660567549636e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.406
Order of pole (three term test) = 22.79
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.839999999999983
y[1] (analytic) = 2.657823265072774
y[1] (numeric) = 2.657823265072797
absolute error = 2.353672812205332e-14
relative error = 8.855640791228028e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4118
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.849999999999983
y[1] (analytic) = 2.670309225210525
y[1] (numeric) = 2.670309225210549
absolute error = 2.398081733190338e-14
relative error = 8.980539446704999e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4174
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.859999999999983
y[1] (analytic) = 2.682728154984345
y[1] (numeric) = 2.682728154984369
absolute error = 2.398081733190338e-14
relative error = 8.938966584202163e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4228
Order of pole (three term test) = 22.77
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.869999999999983
y[1] (analytic) = 2.695078812511604
y[1] (numeric) = 2.695078812511629
absolute error = 2.442490654175344e-14
relative error = 9.062780067270585e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.428
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.879999999999983
y[1] (analytic) = 2.707359962736843
y[1] (numeric) = 2.707359962736868
absolute error = 2.486899575160351e-14
relative error = 9.185699756918798e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4331
Order of pole (three term test) = 22.75
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.889999999999982
y[1] (analytic) = 2.719570377555272
y[1] (numeric) = 2.719570377555298
absolute error = 2.531308496145357e-14
relative error = 9.307751389838451e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.438
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.899999999999982
y[1] (analytic) = 2.731708835935586
y[1] (numeric) = 2.731708835935612
absolute error = 2.575717417130363e-14
relative error = 9.428960302235881e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4428
Order of pole (three term test) = 22.73
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.909999999999982
y[1] (analytic) = 2.743774124042063
y[1] (numeric) = 2.743774124042088
absolute error = 2.575717417130363e-14
relative error = 9.387498025296186e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4473
Order of pole (three term test) = 22.72
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.919999999999982
y[1] (analytic) = 2.755765035355944
y[1] (numeric) = 2.75576503535597
absolute error = 2.620126338115369e-14
relative error = 9.507800209740832e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4517
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.929999999999982
y[1] (analytic) = 2.767680370796092
y[1] (numeric) = 2.767680370796118
absolute error = 2.664535259100376e-14
relative error = 9.627322891819161e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4559
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.939999999999981
y[1] (analytic) = 2.779518938838892
y[1] (numeric) = 2.779518938838918
absolute error = 2.620126338115369e-14
relative error = 9.426546088618822e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4599
Order of pole (three term test) = 22.7
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.949999999999981
y[1] (analytic) = 2.791279555637404
y[1] (numeric) = 2.791279555637431
absolute error = 2.708944180085382e-14
relative error = 9.705026408459396e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4637
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.959999999999981
y[1] (analytic) = 2.802961045139751
y[1] (numeric) = 2.802961045139778
absolute error = 2.708944180085382e-14
relative error = 9.664580193801153e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4674
Order of pole (three term test) = 22.68
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.969999999999981
y[1] (analytic) = 2.814562239206716
y[1] (numeric) = 2.814562239206743
absolute error = 2.753353101070388e-14
relative error = 9.782526968905903e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4708
Order of pole (three term test) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.97999999999998
y[1] (analytic) = 2.826081977728559
y[1] (numeric) = 2.826081977728587
absolute error = 2.797762022055394e-14
relative error = 9.899790749538248e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4741
Order of pole (three term test) = 22.66
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.98999999999998
y[1] (analytic) = 2.837519108741029
y[1] (numeric) = 2.837519108741057
absolute error = 2.842170943040401e-14
relative error = 1.001639401928622e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4772
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.99999999999998
y[1] (analytic) = 2.848872488540556
y[1] (numeric) = 2.848872488540584
absolute error = 2.842170943040401e-14
relative error = 9.976476498940857e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4801
Order of pole (three term test) = 22.64
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.00999999999998
y[1] (analytic) = 2.860140981798619
y[1] (numeric) = 2.860140981798648
absolute error = 2.842170943040401e-14
relative error = 9.937170793773536e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4828
Order of pole (three term test) = 22.63
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.01999999999998
y[1] (analytic) = 2.871323461675285
y[1] (numeric) = 2.871323461675313
absolute error = 2.886579864025407e-14
relative error = 1.005313369445747e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4853
Order of pole (three term test) = 22.62
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.029999999999979
y[1] (analytic) = 2.882418809931883
y[1] (numeric) = 2.882418809931912
absolute error = 2.930988785010413e-14
relative error = 1.016850422607282e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4876
Order of pole (three term test) = 22.61
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.039999999999979
y[1] (analytic) = 2.893425917042835
y[1] (numeric) = 2.893425917042864
absolute error = 2.930988785010413e-14
relative error = 1.012982142638015e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4897
Order of pole (three term test) = 22.6
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.049999999999979
y[1] (analytic) = 2.904343682306601
y[1] (numeric) = 2.904343682306631
absolute error = 2.930988785010413e-14
relative error = 1.00917422509813e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4916
Order of pole (three term test) = 22.59
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.059999999999979
y[1] (analytic) = 2.915171013955754
y[1] (numeric) = 2.915171013955784
absolute error = 2.97539770599542e-14
relative error = 1.020659745775237e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4934
Order of pole (three term test) = 22.58
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.069999999999979
y[1] (analytic) = 2.925906829266152
y[1] (numeric) = 2.925906829266182
absolute error = 2.97539770599542e-14
relative error = 1.016914713836489e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4949
Order of pole (three term test) = 22.57
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.079999999999978
y[1] (analytic) = 2.936550054665209
y[1] (numeric) = 2.936550054665239
absolute error = 3.019806626980426e-14
relative error = 1.028351831491157e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4962
Order of pole (three term test) = 22.56
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.089999999999978
y[1] (analytic) = 2.947099625839256
y[1] (numeric) = 2.947099625839286
absolute error = 3.019806626980426e-14
relative error = 1.024670696743231e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4973
Order of pole (three term test) = 22.55
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.099999999999978
y[1] (analytic) = 2.957554487839966
y[1] (numeric) = 2.957554487839996
absolute error = 3.064215547965432e-14
relative error = 1.03606393747402e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4983
Order of pole (three term test) = 22.54
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.109999999999978
y[1] (analytic) = 2.967913595189851
y[1] (numeric) = 2.967913595189882
absolute error = 3.064215547965432e-14
relative error = 1.032447694209043e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.499
Order of pole (three term test) = 22.53
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.119999999999977
y[1] (analytic) = 2.978175911986809
y[1] (numeric) = 2.97817591198684
absolute error = 3.108624468950438e-14
relative error = 1.043801494881007e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4995
Order of pole (three term test) = 22.52
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.129999999999977
y[1] (analytic) = 2.988340412007713
y[1] (numeric) = 2.988340412007743
absolute error = 3.064215547965432e-14
relative error = 1.025390392491042e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4999
Order of pole (three term test) = 22.51
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.139999999999977
y[1] (analytic) = 2.99840607881103
y[1] (numeric) = 2.99840607881106
absolute error = 3.064215547965432e-14
relative error = 1.021948150925741e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.5
Order of pole (three term test) = 22.5
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.149999999999977
y[1] (analytic) = 3.008371905838468
y[1] (numeric) = 3.008371905838499
absolute error = 3.108624468950438e-14
relative error = 1.033324524443739e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4999
Order of pole (three term test) = 22.49
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.159999999999977
y[1] (analytic) = 3.018236896515629
y[1] (numeric) = 3.01823689651566
absolute error = 3.108624468950438e-14
relative error = 1.029947143161346e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4997
Order of pole (three term test) = 22.48
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.169999999999976
y[1] (analytic) = 3.028000064351667
y[1] (numeric) = 3.028000064351698
absolute error = 3.153033389935445e-14
relative error = 1.041292378773628e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4992
Order of pole (three term test) = 22.47
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.179999999999976
y[1] (analytic) = 3.037660433037933
y[1] (numeric) = 3.037660433037965
absolute error = 3.153033389935445e-14
relative error = 1.037980860415701e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4985
Order of pole (three term test) = 22.46
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.189999999999976
y[1] (analytic) = 3.04721703654561
y[1] (numeric) = 3.047217036545642
absolute error = 3.197442310920451e-14
relative error = 1.049299171202173e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4977
Order of pole (three term test) = 22.45
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.199999999999976
y[1] (analytic) = 3.05666891922231
y[1] (numeric) = 3.056668919222342
absolute error = 3.241851231905457e-14
relative error = 1.060583045654242e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4966
Order of pole (three term test) = 22.44
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.209999999999976
y[1] (analytic) = 3.066015135887643
y[1] (numeric) = 3.066015135887675
absolute error = 3.241851231905457e-14
relative error = 1.057350041739735e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4953
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.219999999999975
y[1] (analytic) = 3.07525475192773
y[1] (numeric) = 3.075254751927762
absolute error = 3.241851231905457e-14
relative error = 1.05417322902218e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4939
Order of pole (three term test) = 22.42
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.229999999999975
y[1] (analytic) = 3.084386843388666
y[1] (numeric) = 3.084386843388699
absolute error = 3.286260152890463e-14
relative error = 1.065450061795754e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4922
Order of pole (three term test) = 22.41
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.239999999999975
y[1] (analytic) = 3.093410497068917
y[1] (numeric) = 3.093410497068949
absolute error = 3.241851231905457e-14
relative error = 1.047986109498623e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4903
Order of pole (three term test) = 22.4
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.249999999999975
y[1] (analytic) = 3.102324810610632
y[1] (numeric) = 3.102324810610665
absolute error = 3.286260152890463e-14
relative error = 1.059289517864387e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4883
Order of pole (three term test) = 22.39
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.259999999999974
y[1] (analytic) = 3.111128892589888
y[1] (numeric) = 3.111128892589921
absolute error = 3.286260152890463e-14
relative error = 1.056291869076111e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.486
Order of pole (three term test) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.269999999999974
y[1] (analytic) = 3.119821862605823
y[1] (numeric) = 3.119821862605856
absolute error = 3.286260152890463e-14
relative error = 1.053348651818737e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4836
Order of pole (three term test) = 22.37
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.279999999999974
y[1] (analytic) = 3.128402851368678
y[1] (numeric) = 3.128402851368711
absolute error = 3.33066907387547e-14
relative error = 1.064654787799564e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.481
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.289999999999974
y[1] (analytic) = 3.136871000786729
y[1] (numeric) = 3.136871000786763
absolute error = 3.375077994860476e-14
relative error = 1.075937771752171e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4781
Order of pole (three term test) = 22.35
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.299999999999974
y[1] (analytic) = 3.145225464052091
y[1] (numeric) = 3.145225464052125
absolute error = 3.375077994860476e-14
relative error = 1.073079826370304e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4751
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.309999999999973
y[1] (analytic) = 3.153465405725399
y[1] (numeric) = 3.153465405725433
absolute error = 3.419486915845482e-14
relative error = 1.084358467873818e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4719
Order of pole (three term test) = 22.33
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.319999999999973
y[1] (analytic) = 3.161590001819353
y[1] (numeric) = 3.161590001819387
absolute error = 3.419486915845482e-14
relative error = 1.081571903339054e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4685
Order of pole (three term test) = 22.33
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.329999999999973
y[1] (analytic) = 3.169598439881113
y[1] (numeric) = 3.169598439881148
absolute error = 3.419486915845482e-14
relative error = 1.078839159188172e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4649
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.339999999999973
y[1] (analytic) = 3.177489919073547
y[1] (numeric) = 3.177489919073582
absolute error = 3.508304757815495e-14
relative error = 1.104112002608147e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4611
Order of pole (three term test) = 22.31
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.349999999999973
y[1] (analytic) = 3.185263650255312
y[1] (numeric) = 3.185263650255347
absolute error = 3.508304757815495e-14
relative error = 1.10141738425147e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4572
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.359999999999972
y[1] (analytic) = 3.192918856059769
y[1] (numeric) = 3.192918856059804
absolute error = 3.508304757815495e-14
relative error = 1.098776672998489e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4531
Order of pole (three term test) = 22.29
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.369999999999972
y[1] (analytic) = 3.200454770972714
y[1] (numeric) = 3.20045477097275
absolute error = 3.552713678800501e-14
relative error = 1.110065266668563e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4487
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.379999999999972
y[1] (analytic) = 3.207870641408938
y[1] (numeric) = 3.207870641408974
absolute error = 3.597122599785507e-14
relative error = 1.1213427852582e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4442
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.389999999999972
y[1] (analytic) = 3.215165725787577
y[1] (numeric) = 3.215165725787613
absolute error = 3.552713678800501e-14
relative error = 1.104986175457639e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4396
Order of pole (three term test) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.399999999999971
y[1] (analytic) = 3.222339294606272
y[1] (numeric) = 3.222339294606308
absolute error = 3.552713678800501e-14
relative error = 1.102526256234788e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4347
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.409999999999971
y[1] (analytic) = 3.229390630514119
y[1] (numeric) = 3.229390630514155
absolute error = 3.597122599785507e-14
relative error = 1.113870389601287e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4297
Order of pole (three term test) = 22.24
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.419999999999971
y[1] (analytic) = 3.236319028383403
y[1] (numeric) = 3.236319028383439
absolute error = 3.597122599785507e-14
relative error = 1.111485786239786e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4245
Order of pole (three term test) = 22.24
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.429999999999971
y[1] (analytic) = 3.243123795380111
y[1] (numeric) = 3.243123795380148
absolute error = 3.641531520770513e-14
relative error = 1.122846906417184e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4191
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.439999999999971
y[1] (analytic) = 3.249804251033214
y[1] (numeric) = 3.249804251033251
absolute error = 3.68594044175552e-14
relative error = 1.134203834148978e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4136
Order of pole (three term test) = 22.22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.44999999999997
y[1] (analytic) = 3.256359727302715
y[1] (numeric) = 3.256359727302752
absolute error = 3.68594044175552e-14
relative error = 1.131920534101628e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4079
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.45999999999997
y[1] (analytic) = 3.262789568646447
y[1] (numeric) = 3.262789568646484
absolute error = 3.68594044175552e-14
relative error = 1.129689906200299e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.402
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.46999999999997
y[1] (analytic) = 3.269093132085636
y[1] (numeric) = 3.269093132085674
absolute error = 3.730349362740526e-14
relative error = 1.141096081395703e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.396
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.47999999999997
y[1] (analytic) = 3.275269787269191
y[1] (numeric) = 3.275269787269229
absolute error = 3.730349362740526e-14
relative error = 1.13894414965149e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3898
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.48999999999997
y[1] (analytic) = 3.28131891653674
y[1] (numeric) = 3.281318916536778
absolute error = 3.730349362740526e-14
relative error = 1.136844499917647e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3834
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.499999999999969
y[1] (analytic) = 3.287239914980398
y[1] (numeric) = 3.287239914980435
absolute error = 3.730349362740526e-14
relative error = 1.134796808027555e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.377
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.509999999999969
y[1] (analytic) = 3.293032190505254
y[1] (numeric) = 3.293032190505292
absolute error = 3.774758283725532e-14
relative error = 1.146286481683729e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3703
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.519999999999969
y[1] (analytic) = 3.298695163888583
y[1] (numeric) = 3.29869516388862
absolute error = 3.730349362740526e-14
relative error = 1.130856043800997e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3635
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.529999999999969
y[1] (analytic) = 3.304228268837765
y[1] (numeric) = 3.304228268837803
absolute error = 3.774758283725532e-14
relative error = 1.142402393722414e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3566
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.539999999999969
y[1] (analytic) = 3.309630952046917
y[1] (numeric) = 3.309630952046954
absolute error = 3.730349362740526e-14
relative error = 1.1271194331904e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3495
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.549999999999968
y[1] (analytic) = 3.314902673252219
y[1] (numeric) = 3.314902673252257
absolute error = 3.774758283725532e-14
relative error = 1.138723714027523e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3423
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.559999999999968
y[1] (analytic) = 3.320042905285945
y[1] (numeric) = 3.320042905285983
absolute error = 3.774758283725532e-14
relative error = 1.136960693404179e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3349
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.569999999999968
y[1] (analytic) = 3.325051134129175
y[1] (numeric) = 3.325051134129212
absolute error = 3.774758283725532e-14
relative error = 1.135248190615912e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3274
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.579999999999968
y[1] (analytic) = 3.329926858963197
y[1] (numeric) = 3.329926858963235
absolute error = 3.819167204710538e-14
relative error = 1.146922249787694e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3198
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.589999999999967
y[1] (analytic) = 3.334669592219591
y[1] (numeric) = 3.334669592219629
absolute error = 3.819167204710538e-14
relative error = 1.145291039814371e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3121
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.599999999999967
y[1] (analytic) = 3.339278859628985
y[1] (numeric) = 3.339278859629023
absolute error = 3.819167204710538e-14
relative error = 1.14371017373939e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3042
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.609999999999967
y[1] (analytic) = 3.343754200268477
y[1] (numeric) = 3.343754200268516
absolute error = 3.863576125695545e-14
relative error = 1.155460567461965e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2962
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.619999999999967
y[1] (analytic) = 3.348095166607734
y[1] (numeric) = 3.348095166607773
absolute error = 3.907985046680551e-14
relative error = 1.167226393579515e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2881
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.629999999999967
y[1] (analytic) = 3.352301324553739
y[1] (numeric) = 3.352301324553778
absolute error = 3.907985046680551e-14
relative error = 1.165761865753755e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2798
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.639999999999966
y[1] (analytic) = 3.356372253494203
y[1] (numeric) = 3.356372253494242
absolute error = 3.952393967665557e-14
relative error = 1.177579144730105e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2715
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.649999999999966
y[1] (analytic) = 3.360307546339624
y[1] (numeric) = 3.360307546339663
absolute error = 3.907985046680551e-14
relative error = 1.162984337828694e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.263
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.659999999999966
y[1] (analytic) = 3.364106809563997
y[1] (numeric) = 3.364106809564036
absolute error = 3.952393967665557e-14
relative error = 1.174871724176262e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2545
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.669999999999966
y[1] (analytic) = 3.367769663244165
y[1] (numeric) = 3.367769663244204
absolute error = 3.907985046680551e-14
relative error = 1.160407461749031e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2458
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.679999999999966
y[1] (analytic) = 3.371295741097813
y[1] (numeric) = 3.371295741097853
absolute error = 3.952393967665557e-14
relative error = 1.172366434508803e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2371
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.689999999999965
y[1] (analytic) = 3.374684690520095
y[1] (numeric) = 3.374684690520134
absolute error = 3.907985046680551e-14
relative error = 1.158029684272004e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2282
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.699999999999965
y[1] (analytic) = 3.37793617261889
y[1] (numeric) = 3.377936172618929
absolute error = 3.907985046680551e-14
relative error = 1.156915005783167e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2193
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.709999999999965
y[1] (analytic) = 3.3810498622487
y[1] (numeric) = 3.381049862248739
absolute error = 3.952393967665557e-14
relative error = 1.168984229365036e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2102
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.719999999999965
y[1] (analytic) = 3.384025448043157
y[1] (numeric) = 3.384025448043196
absolute error = 3.863576125695545e-14
relative error = 1.141710127484323e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2011
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.729999999999964
y[1] (analytic) = 3.386862632446159
y[1] (numeric) = 3.386862632446198
absolute error = 3.907985046680551e-14
relative error = 1.153865825334053e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1919
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.739999999999964
y[1] (analytic) = 3.389561131741633
y[1] (numeric) = 3.389561131741671
absolute error = 3.863576125695545e-14
relative error = 1.139845536200833e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1827
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.749999999999964
y[1] (analytic) = 3.392120676081896
y[1] (numeric) = 3.392120676081934
absolute error = 3.863576125695545e-14
relative error = 1.138985459137087e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1733
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.759999999999964
y[1] (analytic) = 3.394541009514647
y[1] (numeric) = 3.394541009514686
absolute error = 3.863576125695545e-14
relative error = 1.138173353883847e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1639
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.769999999999964
y[1] (analytic) = 3.39682189000856
y[1] (numeric) = 3.396821890008599
absolute error = 3.907985046680551e-14
relative error = 1.150482766899121e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1544
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.779999999999963
y[1] (analytic) = 3.398963089477487
y[1] (numeric) = 3.398963089477526
absolute error = 3.907985046680551e-14
relative error = 1.149758012606519e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1449
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.789999999999963
y[1] (analytic) = 3.400964393803265
y[1] (numeric) = 3.400964393803304
absolute error = 3.907985046680551e-14
relative error = 1.149081435195589e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1353
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.799999999999963
y[1] (analytic) = 3.40282560285713
y[1] (numeric) = 3.402825602857168
absolute error = 3.863576125695545e-14
relative error = 1.135402332241639e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1256
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.809999999999963
y[1] (analytic) = 3.404546530519725
y[1] (numeric) = 3.404546530519764
absolute error = 3.907985046680551e-14
relative error = 1.147872414621977e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1159
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.819999999999963
y[1] (analytic) = 3.40612700469972
y[1] (numeric) = 3.406127004699759
absolute error = 3.907985046680551e-14
relative error = 1.147339791290335e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1062
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.829999999999962
y[1] (analytic) = 3.407566867351014
y[1] (numeric) = 3.407566867351053
absolute error = 3.907985046680551e-14
relative error = 1.14685498445363e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09638
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.839999999999962
y[1] (analytic) = 3.408865974488542
y[1] (numeric) = 3.408865974488581
absolute error = 3.863576125695545e-14
relative error = 1.133390445564592e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08655
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.849999999999962
y[1] (analytic) = 3.410024196202671
y[1] (numeric) = 3.41002419620271
absolute error = 3.907985046680551e-14
relative error = 1.146028538751249e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07669
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.859999999999962
y[1] (analytic) = 3.411041416672197
y[1] (numeric) = 3.411041416672235
absolute error = 3.863576125695545e-14
relative error = 1.13266760902154e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06679
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.869999999999961
y[1] (analytic) = 3.411917534175919
y[1] (numeric) = 3.411917534175958
absolute error = 3.863576125695545e-14
relative error = 1.132376760867028e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05687
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.879999999999961
y[1] (analytic) = 3.412652461102817
y[1] (numeric) = 3.412652461102856
absolute error = 3.907985046680551e-14
relative error = 1.145145921310037e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04692
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.889999999999961
y[1] (analytic) = 3.413246123960813
y[1] (numeric) = 3.413246123960851
absolute error = 3.863576125695545e-14
relative error = 1.131935988610208e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03696
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.899999999999961
y[1] (analytic) = 3.413698463384113
y[1] (numeric) = 3.413698463384151
absolute error = 3.863576125695545e-14
relative error = 1.131785999008669e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02698
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.909999999999961
y[1] (analytic) = 3.414009434139152
y[1] (numeric) = 3.414009434139191
absolute error = 3.863576125695545e-14
relative error = 1.131682908389429e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01699
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.91999999999996
y[1] (analytic) = 3.414179005129115
y[1] (numeric) = 3.414179005129154
absolute error = 3.863576125695545e-14
relative error = 1.131626701438706e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.006991
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.92999999999996
y[1] (analytic) = 3.414207159397044
y[1] (numeric) = 3.414207159397082
absolute error = 3.863576125695545e-14
relative error = 1.131617369807713e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.003009
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.93999999999996
y[1] (analytic) = 3.414093894127535
y[1] (numeric) = 3.414093894127574
absolute error = 3.863576125695545e-14
relative error = 1.131654912110399e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01301
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.94999999999996
y[1] (analytic) = 3.413839220647021
y[1] (numeric) = 3.41383922064706
absolute error = 3.863576125695545e-14
relative error = 1.13173933392308e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.023
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.95999999999996
y[1] (analytic) = 3.413443164422638
y[1] (numeric) = 3.413443164422676
absolute error = 3.863576125695545e-14
relative error = 1.131870647785942e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03299
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.969999999999959
y[1] (analytic) = 3.412905765059678
y[1] (numeric) = 3.412905765059716
absolute error = 3.863576125695545e-14
relative error = 1.132048873206432e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04296
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.979999999999959
y[1] (analytic) = 3.412227076297629
y[1] (numeric) = 3.412227076297668
absolute error = 3.907985046680551e-14
relative error = 1.145288680764129e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05291
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.989999999999959
y[1] (analytic) = 3.411407166004802
y[1] (numeric) = 3.411407166004842
absolute error = 3.907985046680551e-14
relative error = 1.145563943707519e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06284
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.999999999999959
y[1] (analytic) = 3.410446116171544
y[1] (numeric) = 3.410446116171583
absolute error = 3.907985046680551e-14
relative error = 1.145886758963818e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07275
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.009999999999959
y[1] (analytic) = 3.409344022902037
y[1] (numeric) = 3.409344022902076
absolute error = 3.863576125695545e-14
relative error = 1.133231524815986e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08263
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.019999999999959
y[1] (analytic) = 3.408100996404689
y[1] (numeric) = 3.408100996404727
absolute error = 3.863576125695545e-14
relative error = 1.133644844965378e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09247
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.029999999999959
y[1] (analytic) = 3.406717160981113
y[1] (numeric) = 3.406717160981152
absolute error = 3.907985046680551e-14
relative error = 1.147141034025577e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1023
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.039999999999958
y[1] (analytic) = 3.405192655013701
y[1] (numeric) = 3.40519265501374
absolute error = 3.907985046680551e-14
relative error = 1.147654609476076e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.112
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.049999999999958
y[1] (analytic) = 3.403527630951777
y[1] (numeric) = 3.403527630951816
absolute error = 3.863576125695545e-14
relative error = 1.135168138657102e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1218
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.059999999999958
y[1] (analytic) = 3.40172225529636
y[1] (numeric) = 3.401722255296399
absolute error = 3.907985046680551e-14
relative error = 1.14882543411531e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1314
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.069999999999958
y[1] (analytic) = 3.399776708583511
y[1] (numeric) = 3.39977670858355
absolute error = 3.907985046680551e-14
relative error = 1.149482857745908e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1411
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.079999999999957
y[1] (analytic) = 3.397691185366281
y[1] (numeric) = 3.39769118536632
absolute error = 3.863576125695545e-14
relative error = 1.137118094291739e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1506
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.089999999999957
y[1] (analytic) = 3.395465894195253
y[1] (numeric) = 3.395465894195292
absolute error = 3.907985046680551e-14
relative error = 1.15094221778563e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1601
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.099999999999957
y[1] (analytic) = 3.39310105759769
y[1] (numeric) = 3.393101057597729
absolute error = 3.907985046680551e-14
relative error = 1.151744371989733e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1696
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.109999999999957
y[1] (analytic) = 3.390596912055281
y[1] (numeric) = 3.39059691205532
absolute error = 3.907985046680551e-14
relative error = 1.152594999654985e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.179
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.119999999999957
y[1] (analytic) = 3.387953707980493
y[1] (numeric) = 3.387953707980532
absolute error = 3.863576125695545e-14
relative error = 1.1403863389853e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1883
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.129999999999956
y[1] (analytic) = 3.385171709691531
y[1] (numeric) = 3.38517170969157
absolute error = 3.863576125695545e-14
relative error = 1.141323530098746e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1975
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.139999999999956
y[1] (analytic) = 3.382251195385906
y[1] (numeric) = 3.382251195385945
absolute error = 3.907985046680551e-14
relative error = 1.155439031853062e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2066
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.149999999999956
y[1] (analytic) = 3.379192457112615
y[1] (numeric) = 3.379192457112653
absolute error = 3.819167204710538e-14
relative error = 1.130201151068461e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2157
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.159999999999956
y[1] (analytic) = 3.375995800742936
y[1] (numeric) = 3.375995800742974
absolute error = 3.819167204710538e-14
relative error = 1.131271313746918e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2247
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.169999999999956
y[1] (analytic) = 3.372661545939841
y[1] (numeric) = 3.372661545939879
absolute error = 3.863576125695545e-14
relative error = 1.145557024643249e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2336
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.179999999999955
y[1] (analytic) = 3.369190026126033
y[1] (numeric) = 3.369190026126072
absolute error = 3.819167204710538e-14
relative error = 1.133556485414953e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2423
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.189999999999955
y[1] (analytic) = 3.365581588450601
y[1] (numeric) = 3.365581588450639
absolute error = 3.819167204710538e-14
relative error = 1.134771837894666e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.251
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.199999999999955
y[1] (analytic) = 3.361836593754305
y[1] (numeric) = 3.361836593754343
absolute error = 3.819167204710538e-14
relative error = 1.136035942914618e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2596
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.209999999999955
y[1] (analytic) = 3.357955416533493
y[1] (numeric) = 3.357955416533531
absolute error = 3.774758283725532e-14
relative error = 1.124124002701119e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2681
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.219999999999954
y[1] (analytic) = 3.353938444902654
y[1] (numeric) = 3.353938444902691
absolute error = 3.774758283725532e-14
relative error = 1.125470352463518e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2765
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.229999999999954
y[1] (analytic) = 3.349786080555603
y[1] (numeric) = 3.34978608055564
absolute error = 3.730349362740526e-14
relative error = 1.113608234386657e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2848
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.239999999999954
y[1] (analytic) = 3.345498738725313
y[1] (numeric) = 3.345498738725351
absolute error = 3.774758283725532e-14
relative error = 1.128309582075578e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.293
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.249999999999954
y[1] (analytic) = 3.341076848142397
y[1] (numeric) = 3.341076848142434
absolute error = 3.68594044175552e-14
relative error = 1.103219294044333e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.301
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.259999999999954
y[1] (analytic) = 3.336520850992227
y[1] (numeric) = 3.336520850992264
absolute error = 3.68594044175552e-14
relative error = 1.104725732692299e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3089
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.269999999999953
y[1] (analytic) = 3.331831202870721
y[1] (numeric) = 3.331831202870758
absolute error = 3.68594044175552e-14
relative error = 1.106280665893187e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3167
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.279999999999953
y[1] (analytic) = 3.327008372738784
y[1] (numeric) = 3.327008372738821
absolute error = 3.68594044175552e-14
relative error = 1.107884329945724e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3244
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.289999999999953
y[1] (analytic) = 3.32205284287541
y[1] (numeric) = 3.322052842875447
absolute error = 3.68594044175552e-14
relative error = 1.109536968883718e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3319
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.299999999999953
y[1] (analytic) = 3.316965108829455
y[1] (numeric) = 3.316965108829491
absolute error = 3.641531520770513e-14
relative error = 1.097850414849735e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3394
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.309999999999953
y[1] (analytic) = 3.311745679370084
y[1] (numeric) = 3.311745679370121
absolute error = 3.641531520770513e-14
relative error = 1.099580666309847e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3466
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.319999999999952
y[1] (analytic) = 3.306395076435894
y[1] (numeric) = 3.306395076435931
absolute error = 3.641531520770513e-14
relative error = 1.101360072401232e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3538
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.329999999999952
y[1] (analytic) = 3.300913835082719
y[1] (numeric) = 3.300913835082756
absolute error = 3.68594044175552e-14
relative error = 1.116642428705853e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3608
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.339999999999952
y[1] (analytic) = 3.295302503430128
y[1] (numeric) = 3.295302503430165
absolute error = 3.641531520770513e-14
relative error = 1.105067445850568e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3676
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.349999999999952
y[1] (analytic) = 3.289561642606609
y[1] (numeric) = 3.289561642606645
absolute error = 3.641531520770513e-14
relative error = 1.106995981958559e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3743
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.359999999999951
y[1] (analytic) = 3.28369182669346
y[1] (numeric) = 3.283691826693496
absolute error = 3.597122599785507e-14
relative error = 1.09545072730155e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3809
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.369999999999951
y[1] (analytic) = 3.277693642667381
y[1] (numeric) = 3.277693642667417
absolute error = 3.597122599785507e-14
relative error = 1.097455403689948e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3873
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.379999999999951
y[1] (analytic) = 3.271567690341777
y[1] (numeric) = 3.271567690341813
absolute error = 3.552713678800501e-14
relative error = 1.085936167326971e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3935
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.389999999999951
y[1] (analytic) = 3.265314582306775
y[1] (numeric) = 3.26531458230681
absolute error = 3.552713678800501e-14
relative error = 1.088015745267243e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3996
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.399999999999951
y[1] (analytic) = 3.258934943867968
y[1] (numeric) = 3.258934943868003
absolute error = 3.508304757815495e-14
relative error = 1.076518806985314e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4055
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.40999999999995
y[1] (analytic) = 3.252429412983882
y[1] (numeric) = 3.252429412983918
absolute error = 3.552713678800501e-14
relative error = 1.092326143841237e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4113
Order of pole (three term test) = 22.22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.41999999999995
y[1] (analytic) = 3.245798640202186
y[1] (numeric) = 3.245798640202221
absolute error = 3.508304757815495e-14
relative error = 1.080875663191773e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4169
Order of pole (three term test) = 22.22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.42999999999995
y[1] (analytic) = 3.239043288594632
y[1] (numeric) = 3.239043288594667
absolute error = 3.508304757815495e-14
relative error = 1.083129938450959e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4224
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.43999999999995
y[1] (analytic) = 3.232164033690751
y[1] (numeric) = 3.232164033690786
absolute error = 3.508304757815495e-14
relative error = 1.085435244389321e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4276
Order of pole (three term test) = 22.24
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.44999999999995
y[1] (analytic) = 3.225161563410301
y[1] (numeric) = 3.225161563410336
absolute error = 3.463895836830488e-14
relative error = 1.074022422978323e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4327
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.459999999999949
y[1] (analytic) = 3.218036577994474
y[1] (numeric) = 3.218036577994509
absolute error = 3.463895836830488e-14
relative error = 1.076400392872239e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4376
Order of pole (three term test) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.469999999999949
y[1] (analytic) = 3.210789789935875
y[1] (numeric) = 3.21078978993591
absolute error = 3.463895836830488e-14
relative error = 1.07882984046105e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4424
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.479999999999949
y[1] (analytic) = 3.203421923907271
y[1] (numeric) = 3.203421923907305
absolute error = 3.419486915845482e-14
relative error = 1.06744818418258e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.447
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.489999999999949
y[1] (analytic) = 3.195933716689124
y[1] (numeric) = 3.195933716689158
absolute error = 3.375077994860476e-14
relative error = 1.05605381527028e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4514
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.499999999999948
y[1] (analytic) = 3.188325917095916
y[1] (numeric) = 3.18832591709595
absolute error = 3.375077994860476e-14
relative error = 1.058573710034846e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4556
Order of pole (three term test) = 22.29
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.509999999999948
y[1] (analytic) = 3.180599285901268
y[1] (numeric) = 3.180599285901301
absolute error = 3.33066907387547e-14
relative error = 1.047182865392513e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4596
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.519999999999948
y[1] (analytic) = 3.172754595761857
y[1] (numeric) = 3.172754595761891
absolute error = 3.375077994860476e-14
relative error = 1.063769003555737e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4634
Order of pole (three term test) = 22.31
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.529999999999948
y[1] (analytic) = 3.164792631140164
y[1] (numeric) = 3.164792631140198
absolute error = 3.33066907387547e-14
relative error = 1.052413052628837e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4671
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.539999999999948
y[1] (analytic) = 3.156714188226013
y[1] (numeric) = 3.156714188226047
absolute error = 3.375077994860476e-14
relative error = 1.069174398952214e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4706
Order of pole (three term test) = 22.33
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.549999999999947
y[1] (analytic) = 3.148520074856966
y[1] (numeric) = 3.148520074856999
absolute error = 3.286260152890463e-14
relative error = 1.04374756227011e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4739
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.559999999999947
y[1] (analytic) = 3.14021111043753
y[1] (numeric) = 3.140211110437563
absolute error = 3.241851231905457e-14
relative error = 1.032367289297873e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.477
Order of pole (three term test) = 22.35
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.569999999999947
y[1] (analytic) = 3.131788125857223
y[1] (numeric) = 3.131788125857255
absolute error = 3.241851231905457e-14
relative error = 1.035143854445169e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4799
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.579999999999947
y[1] (analytic) = 3.123251963407483
y[1] (numeric) = 3.123251963407515
absolute error = 3.241851231905457e-14
relative error = 1.037973006945166e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4826
Order of pole (three term test) = 22.37
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.589999999999947
y[1] (analytic) = 3.114603476697443
y[1] (numeric) = 3.114603476697475
absolute error = 3.197442310920451e-14
relative error = 1.026596911883899e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4851
Order of pole (three term test) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.599999999999946
y[1] (analytic) = 3.105843530568567
y[1] (numeric) = 3.105843530568598
absolute error = 3.153033389935445e-14
relative error = 1.01519389463842e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4874
Order of pole (three term test) = 22.39
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.609999999999946
y[1] (analytic) = 3.096973001008166
y[1] (numeric) = 3.096973001008198
absolute error = 3.153033389935445e-14
relative error = 1.018101671828921e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4896
Order of pole (three term test) = 22.4
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.619999999999946
y[1] (analytic) = 3.087992775061806
y[1] (numeric) = 3.087992775061838
absolute error = 3.153033389935445e-14
relative error = 1.021062424562291e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4915
Order of pole (three term test) = 22.41
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.629999999999946
y[1] (analytic) = 3.078903750744598
y[1] (numeric) = 3.078903750744629
absolute error = 3.153033389935445e-14
relative error = 1.024076634150359e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4932
Order of pole (three term test) = 22.42
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.639999999999946
y[1] (analytic) = 3.069706836951398
y[1] (numeric) = 3.06970683695143
absolute error = 3.153033389935445e-14
relative error = 1.027144791802594e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4948
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.649999999999945
y[1] (analytic) = 3.060402953365923
y[1] (numeric) = 3.060402953365954
absolute error = 3.108624468950438e-14
relative error = 1.015756590331178e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4961
Order of pole (three term test) = 22.44
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.659999999999945
y[1] (analytic) = 3.050993030368777
y[1] (numeric) = 3.050993030368808
absolute error = 3.108624468950438e-14
relative error = 1.018889403550914e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4973
Order of pole (three term test) = 22.45
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.669999999999945
y[1] (analytic) = 3.041478008944419
y[1] (numeric) = 3.04147800894445
absolute error = 3.064215547965432e-14
relative error = 1.00747581897819e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4982
Order of pole (three term test) = 22.46
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.679999999999945
y[1] (analytic) = 3.031858840587062
y[1] (numeric) = 3.031858840587093
absolute error = 3.064215547965432e-14
relative error = 1.010672234124233e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.499
Order of pole (three term test) = 22.47
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.689999999999944
y[1] (analytic) = 3.022136487205526
y[1] (numeric) = 3.022136487205556
absolute error = 3.019806626980426e-14
relative error = 9.992290684967527e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4995
Order of pole (three term test) = 22.48
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.699999999999944
y[1] (analytic) = 3.012311921027047
y[1] (numeric) = 3.012311921027077
absolute error = 3.019806626980426e-14
relative error = 1.002488024530615e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4998
Order of pole (three term test) = 22.49
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.709999999999944
y[1] (analytic) = 3.002386124500056
y[1] (numeric) = 3.002386124500085
absolute error = 2.97539770599542e-14
relative error = 9.910110101147865e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.5
Order of pole (three term test) = 22.5
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.719999999999944
y[1] (analytic) = 2.992360090195933
y[1] (numeric) = 2.992360090195963
absolute error = 2.97539770599542e-14
relative error = 9.943314361610126e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4999
Order of pole (three term test) = 22.51
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.729999999999944
y[1] (analytic) = 2.982234820709755
y[1] (numeric) = 2.982234820709785
absolute error = 2.97539770599542e-14
relative error = 9.977073855261646e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4997
Order of pole (three term test) = 22.52
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.739999999999943
y[1] (analytic) = 2.972011328560032
y[1] (numeric) = 2.972011328560062
absolute error = 2.930988785010413e-14
relative error = 9.861970433438776e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4992
Order of pole (three term test) = 22.53
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.749999999999943
y[1] (analytic) = 2.96169063608746
y[1] (numeric) = 2.961690636087489
absolute error = 2.886579864025407e-14
relative error = 9.746392242502146e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4986
Order of pole (three term test) = 22.54
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.759999999999943
y[1] (analytic) = 2.951273775352686
y[1] (numeric) = 2.951273775352715
absolute error = 2.886579864025407e-14
relative error = 9.780793256567505e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4977
Order of pole (three term test) = 22.55
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.769999999999943
y[1] (analytic) = 2.940761788033102
y[1] (numeric) = 2.94076178803313
absolute error = 2.842170943040401e-14
relative error = 9.664743858567877e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4967
Order of pole (three term test) = 22.56
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.779999999999943
y[1] (analytic) = 2.930155725318679
y[1] (numeric) = 2.930155725318708
absolute error = 2.842170943040401e-14
relative error = 9.699726599791179e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4954
Order of pole (three term test) = 22.57
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.789999999999942
y[1] (analytic) = 2.919456647806853
y[1] (numeric) = 2.919456647806881
absolute error = 2.797762022055394e-14
relative error = 9.58316001765987e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.494
Order of pole (three term test) = 22.58
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.799999999999942
y[1] (analytic) = 2.908665625396457
y[1] (numeric) = 2.908665625396484
absolute error = 2.753353101070388e-14
relative error = 9.466035136627643e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4923
Order of pole (three term test) = 22.59
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.809999999999942
y[1] (analytic) = 2.89778373718074
y[1] (numeric) = 2.897783737180768
absolute error = 2.753353101070388e-14
relative error = 9.501582418807869e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4905
Order of pole (three term test) = 22.6
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.819999999999942
y[1] (analytic) = 2.886812071339456
y[1] (numeric) = 2.886812071339483
absolute error = 2.753353101070388e-14
relative error = 9.537694290549562e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4885
Order of pole (three term test) = 22.61
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.829999999999941
y[1] (analytic) = 2.875751725030045
y[1] (numeric) = 2.875751725030072
absolute error = 2.708944180085382e-14
relative error = 9.419951508703623e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4862
Order of pole (three term test) = 22.62
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.839999999999941
y[1] (analytic) = 2.864603804277922
y[1] (numeric) = 2.864603804277949
absolute error = 2.708944180085382e-14
relative error = 9.456610286001568e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4838
Order of pole (three term test) = 22.63
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.849999999999941
y[1] (analytic) = 2.853369423865872
y[1] (numeric) = 2.853369423865899
absolute error = 2.664535259100376e-14
relative error = 9.338206391411963e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4812
Order of pole (three term test) = 22.64
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.859999999999941
y[1] (analytic) = 2.842049707222574
y[1] (numeric) = 2.842049707222601
absolute error = 2.664535259100376e-14
relative error = 9.375399917633122e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4784
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.869999999999941
y[1] (analytic) = 2.83064578631026
y[1] (numeric) = 2.830645786310286
absolute error = 2.620126338115369e-14
relative error = 9.256284734695463e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4754
Order of pole (three term test) = 22.66
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.87999999999994
y[1] (analytic) = 2.819158801511517
y[1] (numeric) = 2.819158801511543
absolute error = 2.575717417130363e-14
relative error = 9.136475092319627e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4722
Order of pole (three term test) = 22.66
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.88999999999994
y[1] (analytic) = 2.807589901515253
y[1] (numeric) = 2.807589901515279
absolute error = 2.575717417130363e-14
relative error = 9.17412267276019e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4688
Order of pole (three term test) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.89999999999994
y[1] (analytic) = 2.795940243201827
y[1] (numeric) = 2.795940243201853
absolute error = 2.531308496145357e-14
relative error = 9.053514295593735e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4652
Order of pole (three term test) = 22.68
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.90999999999994
y[1] (analytic) = 2.784210991527362
y[1] (numeric) = 2.784210991527388
absolute error = 2.531308496145357e-14
relative error = 9.091654705223083e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4615
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.91999999999994
y[1] (analytic) = 2.772403319407251
y[1] (numeric) = 2.772403319407277
absolute error = 2.531308496145357e-14
relative error = 9.130376083543856e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4575
Order of pole (three term test) = 22.7
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.929999999999939
y[1] (analytic) = 2.760518407598868
y[1] (numeric) = 2.760518407598893
absolute error = 2.486899575160351e-14
relative error = 9.008813592094414e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4534
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.939999999999939
y[1] (analytic) = 2.748557444583487
y[1] (numeric) = 2.748557444583512
absolute error = 2.486899575160351e-14
relative error = 9.048017461163932e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4491
Order of pole (three term test) = 22.72
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.949999999999939
y[1] (analytic) = 2.736521626447443
y[1] (numeric) = 2.736521626447468
absolute error = 2.486899575160351e-14
relative error = 9.087812612644496e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4446
Order of pole (three term test) = 22.73
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.959999999999939
y[1] (analytic) = 2.724412156762522
y[1] (numeric) = 2.724412156762546
absolute error = 2.442490654175344e-14
relative error = 8.965202449682977e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4399
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.969999999999938
y[1] (analytic) = 2.712230246465598
y[1] (numeric) = 2.712230246465622
absolute error = 2.442490654175344e-14
relative error = 9.00546941897075e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4351
Order of pole (three term test) = 22.75
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.979999999999938
y[1] (analytic) = 2.699977113737551
y[1] (numeric) = 2.699977113737575
absolute error = 2.398081733190338e-14
relative error = 8.881859483137238e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4301
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.989999999999938
y[1] (analytic) = 2.687653983881443
y[1] (numeric) = 2.687653983881467
absolute error = 2.398081733190338e-14
relative error = 8.922583589897566e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4249
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.999999999999938
y[1] (analytic) = 2.67526208919999
y[1] (numeric) = 2.675262089200014
absolute error = 2.398081733190338e-14
relative error = 8.963913266185671e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4195
Order of pole (three term test) = 22.77
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.009999999999938
y[1] (analytic) = 2.662802668872333
y[1] (numeric) = 2.662802668872357
absolute error = 2.398081733190338e-14
relative error = 9.005855977325946e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.414
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.019999999999937
y[1] (analytic) = 2.650276968830122
y[1] (numeric) = 2.650276968830146
absolute error = 2.398081733190338e-14
relative error = 9.048419321429988e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4083
Order of pole (three term test) = 22.79
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.029999999999937
y[1] (analytic) = 2.637686241632925
y[1] (numeric) = 2.637686241632948
absolute error = 2.353672812205332e-14
relative error = 8.923247864189611e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4025
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.039999999999937
y[1] (analytic) = 2.625031746342967
y[1] (numeric) = 2.62503174634299
absolute error = 2.353672812205332e-14
relative error = 8.966264181316376e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3965
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.049999999999937
y[1] (analytic) = 2.612314748399233
y[1] (numeric) = 2.612314748399256
absolute error = 2.309263891220326e-14
relative error = 8.839914457610399e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3903
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.059999999999937
y[1] (analytic) = 2.59953651949092
y[1] (numeric) = 2.599536519490943
absolute error = 2.264854970235319e-14
relative error = 8.71253376613019e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.384
Order of pole (three term test) = 22.82
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.069999999999936
y[1] (analytic) = 2.58669833743027
y[1] (numeric) = 2.586698337430292
absolute error = 2.220446049250313e-14
relative error = 8.584093541638849e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3775
Order of pole (three term test) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.079999999999936
y[1] (analytic) = 2.573801486024791
y[1] (numeric) = 2.573801486024812
absolute error = 2.176037128265307e-14
relative error = 8.454564736560834e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3708
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.089999999999936
y[1] (analytic) = 2.560847254948875
y[1] (numeric) = 2.560847254948897
absolute error = 2.131628207280301e-14
relative error = 8.323917809470665e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3641
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.099999999999936
y[1] (analytic) = 2.547836939614836
y[1] (numeric) = 2.547836939614857
absolute error = 2.087219286295294e-14
relative error = 8.192122713358672e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3571
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.109999999999935
y[1] (analytic) = 2.534771841043364
y[1] (numeric) = 2.534771841043385
absolute error = 2.087219286295294e-14
relative error = 8.234347772445476e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3501
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.119999999999935
y[1] (analytic) = 2.52165326573343
y[1] (numeric) = 2.52165326573345
absolute error = 2.087219286295294e-14
relative error = 8.27718590282959e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3429
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.129999999999935
y[1] (analytic) = 2.508482525531632
y[1] (numeric) = 2.508482525531652
absolute error = 2.042810365310288e-14
relative error = 8.143610108973543e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3355
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.139999999999935
y[1] (analytic) = 2.495260937501015
y[1] (numeric) = 2.495260937501035
absolute error = 2.042810365310288e-14
relative error = 8.186760489089961e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.328
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.149999999999935
y[1] (analytic) = 2.481989823789363
y[1] (numeric) = 2.481989823789384
absolute error = 2.042810365310288e-14
relative error = 8.230534814165512e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3204
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.159999999999934
y[1] (analytic) = 2.46867051149699
y[1] (numeric) = 2.46867051149701
absolute error = 1.998401444325282e-14
relative error = 8.095051304005168e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3127
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.169999999999934
y[1] (analytic) = 2.455304332544025
y[1] (numeric) = 2.455304332544045
absolute error = 1.953992523340276e-14
relative error = 7.958249808143648e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3048
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.179999999999934
y[1] (analytic) = 2.441892623537224
y[1] (numeric) = 2.441892623537243
absolute error = 1.909583602355269e-14
relative error = 7.820096526558673e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2968
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.189999999999934
y[1] (analytic) = 2.428436725636312
y[1] (numeric) = 2.428436725636331
absolute error = 1.865174681370263e-14
relative error = 7.680557050056718e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2887
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.199999999999934
y[1] (analytic) = 2.414937984419866
y[1] (numeric) = 2.414937984419885
absolute error = 1.865174681370263e-14
relative error = 7.723488940103481e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2805
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.209999999999933
y[1] (analytic) = 2.401397749750759
y[1] (numeric) = 2.401397749750777
absolute error = 1.820765760385257e-14
relative error = 7.582108214160833e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2722
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.219999999999933
y[1] (analytic) = 2.387817375641173
y[1] (numeric) = 2.387817375641191
absolute error = 1.77635683940025e-14
relative error = 7.439249154987266e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2637
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.229999999999933
y[1] (analytic) = 2.374198220117203
y[1] (numeric) = 2.374198220117221
absolute error = 1.77635683940025e-14
relative error = 7.481923052374962e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2552
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.239999999999933
y[1] (analytic) = 2.360541645083052
y[1] (numeric) = 2.36054164508307
absolute error = 1.731947918415244e-14
relative error = 7.337078428685413e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2465
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.249999999999932
y[1] (analytic) = 2.346849016184844
y[1] (numeric) = 2.346849016184861
absolute error = 1.687538997430238e-14
relative error = 7.190658563002005e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2378
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.259999999999932
y[1] (analytic) = 2.333121702674056
y[1] (numeric) = 2.333121702674073
absolute error = 1.687538997430238e-14
relative error = 7.232966010714752e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2289
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.269999999999932
y[1] (analytic) = 2.319361077270603
y[1] (numeric) = 2.319361077270619
absolute error = 1.598721155460225e-14
relative error = 6.892937762590988e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.22
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.279999999999932
y[1] (analytic) = 2.305568516025555
y[1] (numeric) = 2.305568516025571
absolute error = 1.598721155460225e-14
relative error = 6.934173260728658e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.211
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.289999999999932
y[1] (analytic) = 2.291745398183544
y[1] (numeric) = 2.29174539818356
absolute error = 1.554312234475219e-14
relative error = 6.782220379747155e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2019
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.299999999999931
y[1] (analytic) = 2.277893106044835
y[1] (numeric) = 2.27789310604485
absolute error = 1.509903313490213e-14
relative error = 6.628508201211852e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1927
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.309999999999931
y[1] (analytic) = 2.264013024827099
y[1] (numeric) = 2.264013024827114
absolute error = 1.465494392505207e-14
relative error = 6.472994529778049e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1834
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.319999999999931
y[1] (analytic) = 2.25010654252689
y[1] (numeric) = 2.250106542526904
absolute error = 1.4210854715202e-14
relative error = 6.315636369486347e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1741
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.329999999999931
y[1] (analytic) = 2.236175049780849
y[1] (numeric) = 2.236175049780863
absolute error = 1.376676550535194e-14
relative error = 6.156389906372096e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1647
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.339999999999931
y[1] (analytic) = 2.222219939726643
y[1] (numeric) = 2.222219939726656
absolute error = 1.332267629550188e-14
relative error = 5.995210490794494e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1552
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.34999999999993
y[1] (analytic) = 2.208242607863647
y[1] (numeric) = 2.20824260786366
absolute error = 1.287858708565182e-14
relative error = 5.832052619486017e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1456
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.35999999999993
y[1] (analytic) = 2.194244451913399
y[1] (numeric) = 2.194244451913411
absolute error = 1.287858708565182e-14
relative error = 5.869258128656351e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.136
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.36999999999993
y[1] (analytic) = 2.180226871679829
y[1] (numeric) = 2.180226871679842
absolute error = 1.243449787580175e-14
relative error = 5.703304567666931e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1264
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.37999999999993
y[1] (analytic) = 2.16619126890928
y[1] (numeric) = 2.166191268909293
absolute error = 1.243449787580175e-14
relative error = 5.740258514689133e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1167
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.38999999999993
y[1] (analytic) = 2.152139047150333
y[1] (numeric) = 2.152139047150345
absolute error = 1.199040866595169e-14
relative error = 5.571391254588452e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.107
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.399999999999929
y[1] (analytic) = 2.138071611613452
y[1] (numeric) = 2.138071611613464
absolute error = 1.199040866595169e-14
relative error = 5.608048206067042e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09716
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.409999999999929
y[1] (analytic) = 2.12399036903047
y[1] (numeric) = 2.123990369030482
absolute error = 1.154631945610163e-14
relative error = 5.436144920643935e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08734
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.419999999999929
y[1] (analytic) = 2.10989672751391
y[1] (numeric) = 2.109896727513921
absolute error = 1.154631945610163e-14
relative error = 5.472457161306967e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07747
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.429999999999929
y[1] (analytic) = 2.095792096416178
y[1] (numeric) = 2.095792096416189
absolute error = 1.154631945610163e-14
relative error = 5.509286668198594e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06758
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.439999999999928
y[1] (analytic) = 2.081677886188631
y[1] (numeric) = 2.081677886188642
absolute error = 1.110223024625157e-14
relative error = 5.333308443113057e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05766
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.449999999999928
y[1] (analytic) = 2.06755550824053
y[1] (numeric) = 2.067555508240541
absolute error = 1.06581410364015e-14
relative error = 5.154947953717324e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04771
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.459999999999928
y[1] (analytic) = 2.053426374797901
y[1] (numeric) = 2.053426374797911
absolute error = 1.021405182655144e-14
relative error = 4.974150498849374e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03775
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.469999999999928
y[1] (analytic) = 2.039291898762314
y[1] (numeric) = 2.039291898762324
absolute error = 1.021405182655144e-14
relative error = 5.008626686915467e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02777
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.479999999999928
y[1] (analytic) = 2.025153493569594
y[1] (numeric) = 2.025153493569604
absolute error = 9.769962616701378e-15
relative error = 4.824307218057116e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01778
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.489999999999927
y[1] (analytic) = 2.011012573048478
y[1] (numeric) = 2.011012573048488
absolute error = 9.325873406851315e-15
relative error = 4.637401840165671e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.007787
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.499999999999927
y[1] (analytic) = 1.996870551279235
y[1] (numeric) = 1.996870551279244
absolute error = 8.881784197001252e-15
relative error = 4.447851760501653e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.002213
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.509999999999927
y[1] (analytic) = 1.982728842452255
y[1] (numeric) = 1.982728842452264
absolute error = 9.103828801926284e-15
relative error = 4.591565224151677e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01221
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.519999999999927
y[1] (analytic) = 1.968588860726638
y[1] (numeric) = 1.968588860726647
absolute error = 8.659739592076221e-15
relative error = 4.39895793623447e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02221
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.529999999999927
y[1] (analytic) = 1.954452020088773
y[1] (numeric) = 1.954452020088781
absolute error = 8.43769498715119e-15
relative error = 4.317166602415721e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03219
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.539999999999926
y[1] (analytic) = 1.940319734210942
y[1] (numeric) = 1.94031973421095
absolute error = 7.993605777301127e-15
relative error = 4.119736369404004e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04216
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.549999999999926
y[1] (analytic) = 1.926193416309956
y[1] (numeric) = 1.926193416309964
absolute error = 7.549516567451064e-15
relative error = 3.919396932585207e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05212
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.559999999999926
y[1] (analytic) = 1.912074479005835
y[1] (numeric) = 1.912074479005842
absolute error = 7.105427357601002e-15
relative error = 3.716082943220603e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06205
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.569999999999926
y[1] (analytic) = 1.897964334180541
y[1] (numeric) = 1.897964334180548
absolute error = 7.105427357601002e-15
relative error = 3.743709631229092e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07196
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.579999999999925
y[1] (analytic) = 1.8838643928368
y[1] (numeric) = 1.883864392836807
absolute error = 6.661338147750939e-15
relative error = 3.53599663175332e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08184
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.589999999999925
y[1] (analytic) = 1.869776064956996
y[1] (numeric) = 1.869776064957003
absolute error = 6.217248937900877e-15
relative error = 3.325130241221624e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09169
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.599999999999925
y[1] (analytic) = 1.855700759362177
y[1] (numeric) = 1.855700759362183
absolute error = 5.995204332975845e-15
relative error = 3.230695629524049e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1015
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.609999999999925
y[1] (analytic) = 1.841639883571173
y[1] (numeric) = 1.841639883571178
absolute error = 5.551115123125783e-15
relative error = 3.014223992782708e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1113
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.619999999999925
y[1] (analytic) = 1.827594843659845
y[1] (numeric) = 1.82759484365985
absolute error = 5.551115123125783e-15
relative error = 3.037388260523549e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.121
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.629999999999924
y[1] (analytic) = 1.81356704412048
y[1] (numeric) = 1.813567044120485
absolute error = 5.329070518200751e-15
relative error = 2.938446932787739e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1307
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.639999999999924
y[1] (analytic) = 1.799557887721344
y[1] (numeric) = 1.799557887721349
absolute error = 4.884981308350689e-15
relative error = 2.714545245630417e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1403
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.649999999999924
y[1] (analytic) = 1.7855687753664
y[1] (numeric) = 1.785568775366405
absolute error = 4.440892098500626e-15
relative error = 2.487102238663056e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1499
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.659999999999924
y[1] (analytic) = 1.771601105955228
y[1] (numeric) = 1.771601105955233
absolute error = 4.440892098500626e-15
relative error = 2.506711066939724e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1594
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.669999999999924
y[1] (analytic) = 1.757656276243129
y[1] (numeric) = 1.757656276243133
absolute error = 3.774758283725532e-15
relative error = 2.147608912360169e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1688
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.679999999999923
y[1] (analytic) = 1.743735680701453
y[1] (numeric) = 1.743735680701457
absolute error = 3.552713678800501e-15
relative error = 2.037415256291223e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1782
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.689999999999923
y[1] (analytic) = 1.729840711378154
y[1] (numeric) = 1.729840711378157
absolute error = 3.33066907387547e-15
relative error = 1.925419520981181e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1875
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.699999999999923
y[1] (analytic) = 1.715972757758585
y[1] (numeric) = 1.715972757758588
absolute error = 3.33066907387547e-15
relative error = 1.940980157648897e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1967
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.709999999999923
y[1] (analytic) = 1.702133206626551
y[1] (numeric) = 1.702133206626554
absolute error = 2.886579864025407e-15
relative error = 1.695860143488008e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2059
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.719999999999922
y[1] (analytic) = 1.688323441925634
y[1] (numeric) = 1.688323441925636
absolute error = 2.220446049250313e-15
relative error = 1.315178119376084e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.215
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.729999999999922
y[1] (analytic) = 1.674544844620794
y[1] (numeric) = 1.674544844620796
absolute error = 1.998401444325282e-15
relative error = 1.193399777106492e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.224
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.739999999999922
y[1] (analytic) = 1.660798792560281
y[1] (numeric) = 1.660798792560283
absolute error = 1.998401444325282e-15
relative error = 1.203277274331681e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2329
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.749999999999922
y[1] (analytic) = 1.647086660337845
y[1] (numeric) = 1.647086660337846
absolute error = 1.554312234475219e-15
relative error = 9.436736219795527e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2417
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.759999999999922
y[1] (analytic) = 1.633409819155281
y[1] (numeric) = 1.633409819155282
absolute error = 1.332267629550188e-15
relative error = 8.15635864267775e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2504
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.769999999999921
y[1] (analytic) = 1.619769636685311
y[1] (numeric) = 1.619769636685312
absolute error = 1.110223024625157e-15
relative error = 6.85420321186605e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.259
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.779999999999921
y[1] (analytic) = 1.606167476934815
y[1] (numeric) = 1.606167476934816
absolute error = 6.661338147750939e-16
relative error = 4.147349665218805e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2675
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.789999999999921
y[1] (analytic) = 1.592604700108433
y[1] (numeric) = 1.592604700108434
absolute error = 4.440892098500626e-16
relative error = 2.788445932752971e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2759
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.799999999999921
y[1] (analytic) = 1.579082662472545
y[1] (numeric) = 1.579082662472545
absolute error = 2.220446049250313e-16
relative error = 1.406162009133527e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2841
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.809999999999921
y[1] (analytic) = 1.565602716219647
y[1] (numeric) = 1.565602716219647
absolute error = 2.220446049250313e-16
relative error = 1.418269160015174e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2923
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.81999999999992
y[1] (analytic) = 1.55216620933313
y[1] (numeric) = 1.552166209333129
absolute error = 4.440892098500626e-16
relative error = 2.861093143116808e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3004
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.82999999999992
y[1] (analytic) = 1.538774485452486
y[1] (numeric) = 1.538774485452485
absolute error = 6.661338147750939e-16
relative error = 4.32898921234201e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3083
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.83999999999992
y[1] (analytic) = 1.525428883738944
y[1] (numeric) = 1.525428883738943
absolute error = 8.881784197001252e-16
relative error = 5.822483297439154e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3161
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.84999999999992
y[1] (analytic) = 1.512130738741553
y[1] (numeric) = 1.512130738741551
absolute error = 1.110223024625157e-15
relative error = 7.342110018536642e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3238
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.859999999999919
y[1] (analytic) = 1.498881380263731
y[1] (numeric) = 1.49888138026373
absolute error = 1.332267629550188e-15
relative error = 8.888412699581156e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3314
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.869999999999919
y[1] (analytic) = 1.485682133230286
y[1] (numeric) = 1.485682133230284
absolute error = 1.77635683940025e-15
relative error = 1.195650670939925e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3388
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.879999999999919
y[1] (analytic) = 1.472534317554921
y[1] (numeric) = 1.472534317554919
absolute error = 1.77635683940025e-15
relative error = 1.206326275879134e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3461
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.889999999999919
y[1] (analytic) = 1.459439248008247
y[1] (numeric) = 1.459439248008245
absolute error = 1.998401444325282e-15
relative error = 1.369294026491735e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3532
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.899999999999919
y[1] (analytic) = 1.446398234086306
y[1] (numeric) = 1.446398234086304
absolute error = 2.220446049250313e-15
relative error = 1.53515539283894e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3602
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.909999999999918
y[1] (analytic) = 1.433412579879624
y[1] (numeric) = 1.433412579879622
absolute error = 2.442490654175344e-15
relative error = 1.703969037567998e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3671
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.919999999999918
y[1] (analytic) = 1.420483583942799
y[1] (numeric) = 1.420483583942796
absolute error = 2.886579864025407e-15
relative error = 2.032110681640687e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3738
Order of pole (three term test) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.929999999999918
y[1] (analytic) = 1.407612539164651
y[1] (numeric) = 1.407612539164648
absolute error = 3.108624468950438e-15
relative error = 2.208437607976449e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3804
Order of pole (three term test) = 22.82
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.939999999999918
y[1] (analytic) = 1.394800732638932
y[1] (numeric) = 1.394800732638929
absolute error = 3.33066907387547e-15
relative error = 2.387917496697838e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3868
Order of pole (three term test) = 22.82
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.949999999999918
y[1] (analytic) = 1.382049445535618
y[1] (numeric) = 1.382049445535615
absolute error = 3.552713678800501e-15
relative error = 2.570612571262698e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.393
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.959999999999917
y[1] (analytic) = 1.369359952972794
y[1] (numeric) = 1.36935995297279
absolute error = 3.774758283725532e-15
relative error = 2.756585860080669e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3991
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.969999999999917
y[1] (analytic) = 1.35673352388914
y[1] (numeric) = 1.356733523889136
absolute error = 4.218847493575595e-15
relative error = 3.109562356417693e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4051
Order of pole (three term test) = 22.79
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.979999999999917
y[1] (analytic) = 1.344171420917044
y[1] (numeric) = 1.34417142091704
absolute error = 4.662936703425657e-15
relative error = 3.469004496647032e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4109
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.989999999999917
y[1] (analytic) = 1.331674900256334
y[1] (numeric) = 1.33167490025633
absolute error = 4.662936703425657e-15
relative error = 3.501557852091443e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4165
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.999999999999917
y[1] (analytic) = 1.319245211548663
y[1] (numeric) = 1.319245211548658
absolute error = 4.884981308350689e-15
relative error = 3.702860746120279e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4219
Order of pole (three term test) = 22.77
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.009999999999916
y[1] (analytic) = 1.306883597752544
y[1] (numeric) = 1.306883597752538
absolute error = 5.329070518200751e-15
relative error = 4.077693321245434e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4272
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.019999999999916
y[1] (analytic) = 1.294591295019054
y[1] (numeric) = 1.294591295019048
absolute error = 5.551115123125783e-15
relative error = 4.287928664810064e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4323
Order of pole (three term test) = 22.75
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.029999999999916
y[1] (analytic) = 1.282369532568223
y[1] (numeric) = 1.282369532568217
absolute error = 5.773159728050814e-15
relative error = 4.501947045239612e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4373
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.039999999999916
y[1] (analytic) = 1.270219532566112
y[1] (numeric) = 1.270219532566106
absolute error = 5.995204332975845e-15
relative error = 4.719817464044396e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.442
Order of pole (three term test) = 22.73
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.049999999999915
y[1] (analytic) = 1.258142510002596
y[1] (numeric) = 1.25814251000259
absolute error = 6.217248937900877e-15
relative error = 4.941609466711404e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4466
Order of pole (three term test) = 22.72
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.059999999999915
y[1] (analytic) = 1.246139672569868
y[1] (numeric) = 1.246139672569861
absolute error = 6.661338147750939e-15
relative error = 5.345579066601345e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.451
Order of pole (three term test) = 22.72
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.069999999999915
y[1] (analytic) = 1.234212220541667
y[1] (numeric) = 1.234212220541661
absolute error = 6.883382752675971e-15
relative error = 5.577146813256323e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4552
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.079999999999915
y[1] (analytic) = 1.222361346653259
y[1] (numeric) = 1.222361346653251
absolute error = 7.105427357601002e-15
relative error = 5.812869800779593e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4593
Order of pole (three term test) = 22.7
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.089999999999915
y[1] (analytic) = 1.210588235982154
y[1] (numeric) = 1.210588235982147
absolute error = 7.105427357601002e-15
relative error = 5.869400632194601e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4631
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.099999999999914
y[1] (analytic) = 1.198894065829611
y[1] (numeric) = 1.198894065829603
absolute error = 7.549516567451064e-15
relative error = 6.297067257753878e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4668
Order of pole (three term test) = 22.68
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.109999999999914
y[1] (analytic) = 1.187280005602898
y[1] (numeric) = 1.18728000560289
absolute error = 7.771561172376096e-15
relative error = 6.545685209639923e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4703
Order of pole (three term test) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.119999999999914
y[1] (analytic) = 1.175747216698361
y[1] (numeric) = 1.175747216698353
absolute error = 7.993605777301127e-15
relative error = 6.798745226672216e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4736
Order of pole (three term test) = 22.66
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.129999999999914
y[1] (analytic) = 1.164296852385279
y[1] (numeric) = 1.164296852385271
absolute error = 7.993605777301127e-15
relative error = 6.865607994150922e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4767
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.139999999999914
y[1] (analytic) = 1.152930057690541
y[1] (numeric) = 1.152930057690533
absolute error = 8.43769498715119e-15
relative error = 7.318479495671155e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4796
Order of pole (three term test) = 22.64
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.149999999999913
y[1] (analytic) = 1.141647969284146
y[1] (numeric) = 1.141647969284137
absolute error = 8.881784197001252e-15
relative error = 7.779792401829831e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4824
Order of pole (three term test) = 22.63
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.159999999999913
y[1] (analytic) = 1.13045171536553
y[1] (numeric) = 1.130451715365521
absolute error = 8.881784197001252e-15
relative error = 7.856845255995155e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4849
Order of pole (three term test) = 22.62
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.169999999999913
y[1] (analytic) = 1.119342415550757
y[1] (numeric) = 1.119342415550748
absolute error = 9.103828801926284e-15
relative error = 8.13319380687175e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4872
Order of pole (three term test) = 22.61
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.179999999999913
y[1] (analytic) = 1.10832118076055
y[1] (numeric) = 1.108321180760541
absolute error = 9.547918011776346e-15
relative error = 8.614757326233168e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4894
Order of pole (three term test) = 22.6
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.189999999999912
y[1] (analytic) = 1.097389113109204
y[1] (numeric) = 1.097389113109194
absolute error = 9.769962616701378e-15
relative error = 8.902915565674235e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4913
Order of pole (three term test) = 22.59
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.199999999999912
y[1] (analytic) = 1.086547305794374
y[1] (numeric) = 1.086547305794364
absolute error = 9.992007221626409e-15
relative error = 9.196108782692404e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4931
Order of pole (three term test) = 22.58
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.209999999999912
y[1] (analytic) = 1.075796842987756
y[1] (numeric) = 1.075796842987746
absolute error = 1.021405182655144e-14
relative error = 9.49440583798747e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4947
Order of pole (three term test) = 22.57
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.219999999999912
y[1] (analytic) = 1.065138799726673
y[1] (numeric) = 1.065138799726662
absolute error = 1.043609643147647e-14
relative error = 9.797874637704024e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.496
Order of pole (three term test) = 22.56
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.229999999999912
y[1] (analytic) = 1.054574241806568
y[1] (numeric) = 1.054574241806558
absolute error = 1.06581410364015e-14
relative error = 1.010658198719445e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4972
Order of pole (three term test) = 22.55
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.239999999999911
y[1] (analytic) = 1.044104225674431
y[1] (numeric) = 1.04410422567442
absolute error = 1.088018564132653e-14
relative error = 1.042059343673144e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4981
Order of pole (three term test) = 22.54
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.249999999999911
y[1] (analytic) = 1.033729798323149
y[1] (numeric) = 1.033729798323138
absolute error = 1.088018564132653e-14
relative error = 1.052517365657417e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4989
Order of pole (three term test) = 22.53
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.259999999999911
y[1] (analytic) = 1.023451997186812
y[1] (numeric) = 1.023451997186801
absolute error = 1.110223024625157e-14
relative error = 1.08478270370946e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4995
Order of pole (three term test) = 22.52
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.269999999999911
y[1] (analytic) = 1.01327185003697
y[1] (numeric) = 1.013271850036958
absolute error = 1.13242748511766e-14
relative error = 1.117594932767887e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4998
Order of pole (three term test) = 22.51
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.279999999999911
y[1] (analytic) = 1.003190374879853
y[1] (numeric) = 1.003190374879841
absolute error = 1.154631945610163e-14
relative error = 1.15095995189193e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.5
Order of pole (three term test) = 22.5
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.28999999999991
y[1] (analytic) = 0.9932085798545758
y[1] (numeric) = 0.993208579854564
absolute error = 1.176836406102666e-14
relative error = 1.184883447417436e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.5
Order of pole (three term test) = 22.49
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.29999999999991
y[1] (analytic) = 0.9833274631323232
y[1] (numeric) = 0.9833274631323113
absolute error = 1.187938636348917e-14
relative error = 1.208080401380044e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4997
Order of pole (three term test) = 22.48
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.30999999999991
y[1] (analytic) = 0.9735480128165332
y[1] (numeric) = 0.9735480128165211
absolute error = 1.210143096841421e-14
relative error = 1.243023539579115e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4993
Order of pole (three term test) = 22.47
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.31999999999991
y[1] (analytic) = 0.9638712068440878
y[1] (numeric) = 0.9638712068440755
absolute error = 1.232347557333924e-14
relative error = 1.278539651961264e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4986
Order of pole (three term test) = 22.46
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.329999999999909
y[1] (analytic) = 0.9542980128875201
y[1] (numeric) = 0.9542980128875076
absolute error = 1.254552017826427e-14
relative error = 1.314633375406909e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4978
Order of pole (three term test) = 22.45
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.339999999999909
y[1] (analytic) = 0.9448293882582485
y[1] (numeric) = 0.9448293882582356
absolute error = 1.287858708565182e-14
relative error = 1.363059537065515e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4968
Order of pole (three term test) = 22.44
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.349999999999909
y[1] (analytic) = 0.9354662798108447
y[1] (numeric) = 0.9354662798108319
absolute error = 1.287858708565182e-14
relative error = 1.376702438516108e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4955
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.359999999999909
y[1] (analytic) = 0.9262096238483515
y[1] (numeric) = 0.9262096238483385
absolute error = 1.298960938811433e-14
relative error = 1.402448112571234e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4941
Order of pole (three term test) = 22.42
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.369999999999909
y[1] (analytic) = 0.9170603460286513
y[1] (numeric) = 0.917060346028638
absolute error = 1.332267629550188e-14
relative error = 1.452758954543832e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4925
Order of pole (three term test) = 22.41
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.379999999999908
y[1] (analytic) = 0.9080193612719015
y[1] (numeric) = 0.9080193612718879
absolute error = 1.365574320288943e-14
relative error = 1.503904408355483e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4907
Order of pole (three term test) = 22.4
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.389999999999908
y[1] (analytic) = 0.8990875736690436
y[1] (numeric) = 0.8990875736690298
absolute error = 1.376676550535194e-14
relative error = 1.531192945885327e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4886
Order of pole (three term test) = 22.39
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.399999999999908
y[1] (analytic) = 0.8902658763913948
y[1] (numeric) = 0.8902658763913809
absolute error = 1.387778780781446e-14
relative error = 1.558836317984769e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4864
Order of pole (three term test) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.409999999999908
y[1] (analytic) = 0.8815551516013314
y[1] (numeric) = 0.8815551516013174
absolute error = 1.398881011027697e-14
relative error = 1.586833232710003e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.484
Order of pole (three term test) = 22.37
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.419999999999908
y[1] (analytic) = 0.8729562703640737
y[1] (numeric) = 0.8729562703640595
absolute error = 1.4210854715202e-14
relative error = 1.627899953026885e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4814
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.429999999999907
y[1] (analytic) = 0.8644700925605797
y[1] (numeric) = 0.8644700925605653
absolute error = 1.443289932012704e-14
relative error = 1.669566066464655e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4786
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.439999999999907
y[1] (analytic) = 0.8560974668015577
y[1] (numeric) = 0.8560974668015432
absolute error = 1.454392162258955e-14
relative error = 1.698862826557202e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4756
Order of pole (three term test) = 22.35
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.449999999999907
y[1] (analytic) = 0.8478392303426069
y[1] (numeric) = 0.847839230342592
absolute error = 1.48769885299771e-14
relative error = 1.754694521975044e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4724
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.459999999999907
y[1] (analytic) = 0.8396962090004907
y[1] (numeric) = 0.8396962090004758
absolute error = 1.48769885299771e-14
relative error = 1.771710812852843e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4691
Order of pole (three term test) = 22.33
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.469999999999906
y[1] (analytic) = 0.8316692170705581
y[1] (numeric) = 0.831669217070543
absolute error = 1.509903313490213e-14
relative error = 1.815509438726904e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4655
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.479999999999906
y[1] (analytic) = 0.8237590572453123
y[1] (numeric) = 0.8237590572452973
absolute error = 1.498801083243961e-14
relative error = 1.81946537650951e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4618
Order of pole (three term test) = 22.31
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.489999999999906
y[1] (analytic) = 0.815966520534145
y[1] (numeric) = 0.8159665205341295
absolute error = 1.543210004228968e-14
relative error = 1.891266326979638e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4578
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.499999999999906
y[1] (analytic) = 0.8082923861842325
y[1] (numeric) = 0.8082923861842172
absolute error = 1.532107773982716e-14
relative error = 1.895487078896603e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4537
Order of pole (three term test) = 22.29
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.509999999999906
y[1] (analytic) = 0.8007374216026156
y[1] (numeric) = 0.8007374216026
absolute error = 1.565414464721471e-14
relative error = 1.954966038165684e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4494
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.519999999999905
y[1] (analytic) = 0.7933023822794562
y[1] (numeric) = 0.7933023822794404
absolute error = 1.576516694967722e-14
relative error = 1.987283449770814e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.445
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.529999999999905
y[1] (analytic) = 0.7859880117124907
y[1] (numeric) = 0.7859880117124748
absolute error = 1.587618925213974e-14
relative error = 2.019902214227047e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4403
Order of pole (three term test) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.539999999999905
y[1] (analytic) = 0.778795041332681
y[1] (numeric) = 0.7787950413326646
absolute error = 1.63202784619898e-14
relative error = 2.095580685010834e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4355
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.549999999999905
y[1] (analytic) = 0.7717241904310701
y[1] (numeric) = 0.7717241904310539
absolute error = 1.620925615952729e-14
relative error = 2.100394980552976e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4305
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.559999999999905
y[1] (analytic) = 0.7647761660868566
y[1] (numeric) = 0.7647761660868402
absolute error = 1.643130076445232e-14
relative error = 2.148511092928881e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4253
Order of pole (three term test) = 22.24
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.569999999999904
y[1] (analytic) = 0.7579516630966846
y[1] (numeric) = 0.7579516630966681
absolute error = 1.654232306691483e-14
relative error = 2.182503696783193e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.42
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.579999999999904
y[1] (analytic) = 0.7512513639051661
y[1] (numeric) = 0.7512513639051495
absolute error = 1.665334536937735e-14
relative error = 2.216747438941033e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4145
Order of pole (three term test) = 22.22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.589999999999904
y[1] (analytic) = 0.7446759385366367
y[1] (numeric) = 0.74467593853662
absolute error = 1.676436767183986e-14
relative error = 2.251229938325057e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4088
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.599999999999904
y[1] (analytic) = 0.7382260445281539
y[1] (numeric) = 0.7382260445281369
absolute error = 1.69864122767649e-14
relative error = 2.300977106222521e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4029
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.609999999999904
y[1] (analytic) = 0.7319023268637433
y[1] (numeric) = 0.7319023268637262
absolute error = 1.709743457922741e-14
relative error = 2.336026810092435e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3969
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.619999999999903
y[1] (analytic) = 0.7257054179099018
y[1] (numeric) = 0.7257054179098846
absolute error = 1.720845688168993e-14
relative error = 2.371273034071023e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3908
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.629999999999903
y[1] (analytic) = 0.7196359373523606
y[1] (numeric) = 0.7196359373523434
absolute error = 1.720845688168993e-14
relative error = 2.391272584996547e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3845
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.639999999999903
y[1] (analytic) = 0.713694492134118
y[1] (numeric) = 0.7136944921341005
absolute error = 1.743050148661496e-14
relative error = 2.442291719877727e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.378
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.649999999999903
y[1] (analytic) = 0.7078816763947438
y[1] (numeric) = 0.7078816763947264
absolute error = 1.731947918415244e-14
relative error = 2.446663017520232e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3714
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.659999999999902
y[1] (analytic) = 0.7021980714109688
y[1] (numeric) = 0.7021980714109513
absolute error = 1.754152378907747e-14
relative error = 2.498087719584623e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3646
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.669999999999902
y[1] (analytic) = 0.6966442455385546
y[1] (numeric) = 0.696644245538537
absolute error = 1.765254609153999e-14
relative error = 2.533939841546145e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3577
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.679999999999902
y[1] (analytic) = 0.6912207541554605
y[1] (numeric) = 0.6912207541554426
absolute error = 1.787459069646502e-14
relative error = 2.585945313274679e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3506
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.689999999999902
y[1] (analytic) = 0.6859281396063051
y[1] (numeric) = 0.685928139606287
absolute error = 1.809663530139005e-14
relative error = 2.638269850217369e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3434
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.699999999999902
y[1] (analytic) = 0.6807669311481326
y[1] (numeric) = 0.6807669311481145
absolute error = 1.809663530139005e-14
relative error = 2.658271792207881e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3361
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.709999999999901
y[1] (analytic) = 0.6757376448974879
y[1] (numeric) = 0.6757376448974699
absolute error = 1.798561299892754e-14
relative error = 2.661626614224819e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3286
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.719999999999901
y[1] (analytic) = 0.6708407837788056
y[1] (numeric) = 0.6708407837787873
absolute error = 1.831867990631508e-14
relative error = 2.730704564968019e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.321
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.729999999999901
y[1] (analytic) = 0.6660768374741163
y[1] (numeric) = 0.6660768374740978
absolute error = 1.84297022087776e-14
relative error = 2.766903331853778e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3133
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.739999999999901
y[1] (analytic) = 0.6614462823740804
y[1] (numeric) = 0.6614462823740621
absolute error = 1.831867990631508e-14
relative error = 2.769488678742769e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3054
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.749999999999901
y[1] (analytic) = 0.6569495815303498
y[1] (numeric) = 0.6569495815303312
absolute error = 1.854072451124011e-14
relative error = 2.822244664202373e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2975
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.7599999999999
y[1] (analytic) = 0.652587184609261
y[1] (numeric) = 0.6525871846092424
absolute error = 1.865174681370263e-14
relative error = 2.858123367051781e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2894
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.7699999999999
y[1] (analytic) = 0.648359527846871
y[1] (numeric) = 0.6483595278468522
absolute error = 1.876276911616515e-14
relative error = 2.893883456679381e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2812
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.7799999999999
y[1] (analytic) = 0.644267034005333
y[1] (numeric) = 0.6442670340053142
absolute error = 1.887379141862766e-14
relative error = 2.929498239463146e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2728
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.7899999999999
y[1] (analytic) = 0.6403101123306207
y[1] (numeric) = 0.6403101123306019
absolute error = 1.887379141862766e-14
relative error = 2.947601647259676e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2644
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.799999999999899
y[1] (analytic) = 0.6364891585116041
y[1] (numeric) = 0.6364891585115854
absolute error = 1.876276911616515e-14
relative error = 2.947853685370051e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2559
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.809999999999899
y[1] (analytic) = 0.6328045546404815
y[1] (numeric) = 0.6328045546404625
absolute error = 1.898481372109018e-14
relative error = 3.000106996997851e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2472
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.819999999999899
y[1] (analytic) = 0.6292566691745687
y[1] (numeric) = 0.6292566691745497
absolute error = 1.898481372109018e-14
relative error = 3.017022250394839e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2385
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.829999999999899
y[1] (analytic) = 0.6258458568994562
y[1] (numeric) = 0.6258458568994372
absolute error = 1.898481372109018e-14
relative error = 3.033464791976747e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2296
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.839999999999899
y[1] (analytic) = 0.6225724588935292
y[1] (numeric) = 0.6225724588935101
absolute error = 1.909583602355269e-14
relative error = 3.067247153446345e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2207
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.849999999999898
y[1] (analytic) = 0.6194368024938604
y[1] (numeric) = 0.6194368024938413
absolute error = 1.909583602355269e-14
relative error = 3.0827738918115e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2117
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.859999999999898
y[1] (analytic) = 0.6164392012634768
y[1] (numeric) = 0.6164392012634575
absolute error = 1.931788062847772e-14
relative error = 3.133785227948364e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2026
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.869999999999898
y[1] (analytic) = 0.6135799549600033
y[1] (numeric) = 0.6135799549599839
absolute error = 1.942890293094024e-14
relative error = 3.166482668457891e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1934
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.879999999999898
y[1] (analytic) = 0.6108593495056874
y[1] (numeric) = 0.610859349505668
absolute error = 1.942890293094024e-14
relative error = 3.180585342053334e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1841
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.889999999999898
y[1] (analytic) = 0.6082776569588078
y[1] (numeric) = 0.6082776569587883
absolute error = 1.942890293094024e-14
relative error = 3.194084594209574e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1748
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.899999999999897
y[1] (analytic) = 0.6058351354864675
y[1] (numeric) = 0.605835135486448
absolute error = 1.953992523340276e-14
relative error = 3.225287555782446e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1654
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.909999999999897
y[1] (analytic) = 0.6035320293387783
y[1] (numeric) = 0.6035320293387587
absolute error = 1.953992523340276e-14
relative error = 3.237595402320311e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1559
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.919999999999897
y[1] (analytic) = 0.6013685688244358
y[1] (numeric) = 0.6013685688244162
absolute error = 1.953992523340276e-14
relative error = 3.249242851451264e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1464
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.929999999999897
y[1] (analytic) = 0.5993449702876886
y[1] (numeric) = 0.599344970287669
absolute error = 1.965094753586527e-14
relative error = 3.278737373308183e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1368
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.939999999999896
y[1] (analytic) = 0.597461436086704
y[1] (numeric) = 0.5974614360866843
absolute error = 1.965094753586527e-14
relative error = 3.289073796055602e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1272
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.949999999999896
y[1] (analytic) = 0.5957181545733324
y[1] (numeric) = 0.5957181545733128
absolute error = 1.965094753586527e-14
relative error = 3.298698786499087e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1175
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.959999999999896
y[1] (analytic) = 0.5941153000742726
y[1] (numeric) = 0.5941153000742529
absolute error = 1.965094753586527e-14
relative error = 3.307598295046203e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1077
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.969999999999896
y[1] (analytic) = 0.5926530328736386
y[1] (numeric) = 0.5926530328736189
absolute error = 1.965094753586527e-14
relative error = 3.315759212533231e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09795
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.979999999999896
y[1] (analytic) = 0.5913314991969321
y[1] (numeric) = 0.5913314991969123
absolute error = 1.976196983832779e-14
relative error = 3.341944385706811e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08812
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.989999999999895
y[1] (analytic) = 0.5901508311964193
y[1] (numeric) = 0.5901508311963996
absolute error = 1.976196983832779e-14
relative error = 3.348630349001479e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07826
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.999999999999895
y[1] (analytic) = 0.5891111469379163
y[1] (numeric) = 0.5891111469378967
absolute error = 1.965094753586527e-14
relative error = 3.335694399606428e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06837
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.009999999999895
y[1] (analytic) = 0.588212550388983
y[1] (numeric) = 0.5882125503889633
absolute error = 1.976196983832779e-14
relative error = 3.359664771732474e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05845
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.019999999999895
y[1] (analytic) = 0.587455131408525
y[1] (numeric) = 0.5874551314085054
absolute error = 1.965094753586527e-14
relative error = 3.345097605794801e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04851
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.029999999999895
y[1] (analytic) = 0.5868389657378096
y[1] (numeric) = 0.5868389657377898
absolute error = 1.976196983832779e-14
relative error = 3.36752857122939e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03855
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.039999999999894
y[1] (analytic) = 0.5863641149928899
y[1] (numeric) = 0.5863641149928702
absolute error = 1.965094753586527e-14
relative error = 3.351321650388437e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02857
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.049999999999894
y[1] (analytic) = 0.5860306266584449
y[1] (numeric) = 0.5860306266584253
absolute error = 1.953992523340276e-14
relative error = 3.334283968197992e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01858
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.059999999999894
y[1] (analytic) = 0.5858385340830304
y[1] (numeric) = 0.5858385340830107
absolute error = 1.976196983832779e-14
relative error = 3.373279272122263e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.008583
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.069999999999894
y[1] (analytic) = 0.5857878564757435
y[1] (numeric) = 0.5857878564757237
absolute error = 1.976196983832779e-14
relative error = 3.373571100845464e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.001417
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.079999999999893
y[1] (analytic) = 0.5858785989043028
y[1] (numeric) = 0.5858785989042831
absolute error = 1.976196983832779e-14
relative error = 3.373048593221562e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01142
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.089999999999893
y[1] (analytic) = 0.5861107522945409
y[1] (numeric) = 0.5861107522945214
absolute error = 1.953992523340276e-14
relative error = 3.333828147138865e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02141
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.099999999999893
y[1] (analytic) = 0.5864842934313127
y[1] (numeric) = 0.5864842934312932
absolute error = 1.953992523340276e-14
relative error = 3.331704779181987e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0314
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.109999999999893
y[1] (analytic) = 0.5869991849608155
y[1] (numeric) = 0.5869991849607959
absolute error = 1.953992523340276e-14
relative error = 3.32878234485234e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04137
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.119999999999893
y[1] (analytic) = 0.5876553753943256
y[1] (numeric) = 0.5876553753943059
absolute error = 1.965094753586527e-14
relative error = 3.343957761414024e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05133
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.129999999999892
y[1] (analytic) = 0.5884527991133459
y[1] (numeric) = 0.5884527991133265
absolute error = 1.942890293094024e-14
relative error = 3.301692669355101e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06126
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.139999999999892
y[1] (analytic) = 0.5893913763761698
y[1] (numeric) = 0.5893913763761504
absolute error = 1.942890293094024e-14
relative error = 3.296434883455107e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07117
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.149999999999892
y[1] (analytic) = 0.5904710133258527
y[1] (numeric) = 0.5904710133258333
absolute error = 1.942890293094024e-14
relative error = 3.2904075716615e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08106
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.159999999999892
y[1] (analytic) = 0.5916916019995994
y[1] (numeric) = 0.59169160199958
absolute error = 1.931788062847772e-14
relative error = 3.264856314200451e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09091
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.169999999999892
y[1] (analytic) = 0.5930530203395598
y[1] (numeric) = 0.5930530203395404
absolute error = 1.931788062847772e-14
relative error = 3.257361477969885e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1007
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.179999999999891
y[1] (analytic) = 0.5945551322050342
y[1] (numeric) = 0.594555132205015
absolute error = 1.920685832601521e-14
relative error = 3.230458755739352e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1105
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.189999999999891
y[1] (analytic) = 0.5961977873860882
y[1] (numeric) = 0.5961977873860689
absolute error = 1.931788062847772e-14
relative error = 3.240179859300244e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1202
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.199999999999891
y[1] (analytic) = 0.5979808216185719
y[1] (numeric) = 0.5979808216185528
absolute error = 1.909583602355269e-14
relative error = 3.193386030653198e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1299
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.209999999999891
y[1] (analytic) = 0.5999040566005486
y[1] (numeric) = 0.5999040566005295
absolute error = 1.909583602355269e-14
relative error = 3.183148340713392e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1395
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.219999999999891
y[1] (analytic) = 0.6019673000101224
y[1] (numeric) = 0.6019673000101033
absolute error = 1.909583602355269e-14
relative error = 3.172238097190924e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1491
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.22999999999989
y[1] (analytic) = 0.604170345524672
y[1] (numeric) = 0.6041703455246529
absolute error = 1.909583602355269e-14
relative error = 3.16067085466923e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1586
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.23999999999989
y[1] (analytic) = 0.6065129728414816
y[1] (numeric) = 0.6065129728414624
absolute error = 1.920685832601521e-14
relative error = 3.16676793177763e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1681
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.24999999999989
y[1] (analytic) = 0.6089949476997715
y[1] (numeric) = 0.6089949476997525
absolute error = 1.898481372109018e-14
relative error = 3.117400857395865e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1775
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.25999999999989
y[1] (analytic) = 0.6116160219041246
y[1] (numeric) = 0.6116160219041056
absolute error = 1.898481372109018e-14
relative error = 3.104041267915998e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1868
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.269999999999889
y[1] (analytic) = 0.6143759333493043
y[1] (numeric) = 0.6143759333492854
absolute error = 1.887379141862766e-14
relative error = 3.072026489666701e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.196
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.279999999999889
y[1] (analytic) = 0.6172744060464664
y[1] (numeric) = 0.6172744060464475
absolute error = 1.898481372109018e-14
relative error = 3.075587378178298e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2052
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.289999999999889
y[1] (analytic) = 0.6203111501507562
y[1] (numeric) = 0.6203111501507373
absolute error = 1.887379141862766e-14
relative error = 3.042632945424357e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2143
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.299999999999889
y[1] (analytic) = 0.6234858619902942
y[1] (numeric) = 0.6234858619902753
absolute error = 1.887379141862766e-14
relative error = 3.027140239937224e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2232
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.309999999999889
y[1] (analytic) = 0.6267982240965417
y[1] (numeric) = 0.626798224096523
absolute error = 1.876276911616515e-14
relative error = 2.993430484460855e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2321
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.319999999999888
y[1] (analytic) = 0.6302479052360487
y[1] (numeric) = 0.63024790523603
absolute error = 1.865174681370263e-14
relative error = 2.959430195443003e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.241
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.329999999999888
y[1] (analytic) = 0.6338345604435758
y[1] (numeric) = 0.6338345604435571
absolute error = 1.865174681370263e-14
relative error = 2.942683781813601e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2497
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.339999999999888
y[1] (analytic) = 0.637557831056591
y[1] (numeric) = 0.6375578310565725
absolute error = 1.854072451124011e-14
relative error = 2.908085134883144e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2583
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.349999999999888
y[1] (analytic) = 0.641417344751136
y[1] (numeric) = 0.6414173447511174
absolute error = 1.854072451124011e-14
relative error = 2.890586708164829e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2668
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.359999999999888
y[1] (analytic) = 0.6454127155790574
y[1] (numeric) = 0.6454127155790389
absolute error = 1.854072451124011e-14
relative error = 2.872692784585995e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2752
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.369999999999887
y[1] (analytic) = 0.6495435440066019
y[1] (numeric) = 0.6495435440065834
absolute error = 1.84297022087776e-14
relative error = 2.837331288845861e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2835
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.379999999999887
y[1] (analytic) = 0.6538094169543691
y[1] (numeric) = 0.6538094169543507
absolute error = 1.84297022087776e-14
relative error = 2.818818715494863e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2917
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.389999999999887
y[1] (analytic) = 0.658209907838619
y[1] (numeric) = 0.6582099078386008
absolute error = 1.820765760385257e-14
relative error = 2.766238761680377e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2997
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.399999999999887
y[1] (analytic) = 0.6627445766139305
y[1] (numeric) = 0.6627445766139123
absolute error = 1.820765760385257e-14
relative error = 2.747311444912676e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3077
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.409999999999886
y[1] (analytic) = 0.6674129698172048
y[1] (numeric) = 0.6674129698171867
absolute error = 1.809663530139005e-14
relative error = 2.711459938566443e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3155
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.419999999999886
y[1] (analytic) = 0.6722146206130117
y[1] (numeric) = 0.6722146206129938
absolute error = 1.798561299892754e-14
relative error = 2.675575991269863e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3232
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.429999999999886
y[1] (analytic) = 0.6771490488402733
y[1] (numeric) = 0.6771490488402554
absolute error = 1.787459069646502e-14
relative error = 2.6396833499328e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3308
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.439999999999886
y[1] (analytic) = 0.6822157610602788
y[1] (numeric) = 0.6822157610602609
absolute error = 1.787459069646502e-14
relative error = 2.620078825016426e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3382
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.449999999999886
y[1] (analytic) = 0.6874142506060283
y[1] (numeric) = 0.6874142506060106
absolute error = 1.77635683940025e-14
relative error = 2.584114073623298e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3455
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.459999999999885
y[1] (analytic) = 0.6927439976328993
y[1] (numeric) = 0.6927439976328819
absolute error = 1.743050148661496e-14
relative error = 2.516153376452895e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3526
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.469999999999885
y[1] (analytic) = 0.6982044691706308
y[1] (numeric) = 0.6982044691706134
absolute error = 1.743050148661496e-14
relative error = 2.496475209807802e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3597
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.479999999999885
y[1] (analytic) = 0.7037951191766191
y[1] (numeric) = 0.7037951191766019
absolute error = 1.720845688168993e-14
relative error = 2.445094660761838e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3665
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.489999999999885
y[1] (analytic) = 0.7095153885905229
y[1] (numeric) = 0.7095153885905056
absolute error = 1.731947918415244e-14
relative error = 2.441029393112698e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3733
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.499999999999885
y[1] (analytic) = 0.7153647053901669
y[1] (numeric) = 0.71536470539015
absolute error = 1.69864122767649e-14
relative error = 2.374510812285649e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3798
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.509999999999884
y[1] (analytic) = 0.7213424846487464
y[1] (numeric) = 0.7213424846487295
absolute error = 1.687538997430238e-14
relative error = 2.339442128175738e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3863
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.519999999999884
y[1] (analytic) = 0.7274481285933164
y[1] (numeric) = 0.7274481285932998
absolute error = 1.665334536937735e-14
relative error = 2.289282866337194e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3925
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.529999999999884
y[1] (analytic) = 0.733681026664571
y[1] (numeric) = 0.7336810266645544
absolute error = 1.665334536937735e-14
relative error = 2.269834541733493e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3987
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.539999999999884
y[1] (analytic) = 0.7400405555778967
y[1] (numeric) = 0.7400405555778802
absolute error = 1.654232306691483e-14
relative error = 2.235326556393515e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4046
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.549999999999883
y[1] (analytic) = 0.7465260793857019
y[1] (numeric) = 0.7465260793856855
absolute error = 1.643130076445232e-14
relative error = 2.201035063366203e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4104
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.559999999999883
y[1] (analytic) = 0.7531369495410104
y[1] (numeric) = 0.7531369495409941
absolute error = 1.63202784619898e-14
relative error = 2.166973546037807e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.416
Order of pole (three term test) = 22.22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.569999999999883
y[1] (analytic) = 0.7598725049623156
y[1] (numeric) = 0.7598725049622995
absolute error = 1.609823385706477e-14
relative error = 2.118544065213036e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4215
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.579999999999883
y[1] (analytic) = 0.7667320720996886
y[1] (numeric) = 0.7667320720996726
absolute error = 1.598721155460225e-14
relative error = 2.08511057986937e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4268
Order of pole (three term test) = 22.24
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.589999999999883
y[1] (analytic) = 0.7737149650021318
y[1] (numeric) = 0.7737149650021159
absolute error = 1.587618925213974e-14
relative error = 2.051942895029308e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4319
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.599999999999882
y[1] (analytic) = 0.7808204853861738
y[1] (numeric) = 0.7808204853861581
absolute error = 1.565414464721471e-14
relative error = 2.004832729186475e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4369
Order of pole (three term test) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.609999999999882
y[1] (analytic) = 0.7880479227056979
y[1] (numeric) = 0.7880479227056822
absolute error = 1.565414464721471e-14
relative error = 1.986445772671729e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4416
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.619999999999882
y[1] (analytic) = 0.7953965542229945
y[1] (numeric) = 0.7953965542229791
absolute error = 1.543210004228968e-14
relative error = 1.940176879112201e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4462
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.629999999999882
y[1] (analytic) = 0.8028656450810362
y[1] (numeric) = 0.8028656450810208
absolute error = 1.543210004228968e-14
relative error = 1.922127336851243e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4507
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.639999999999882
y[1] (analytic) = 0.8104544483769607
y[1] (numeric) = 0.8104544483769457
absolute error = 1.498801083243961e-14
relative error = 1.84933414363448e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4549
Order of pole (three term test) = 22.29
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.649999999999881
y[1] (analytic) = 0.8181622052367633
y[1] (numeric) = 0.8181622052367483
absolute error = 1.498801083243961e-14
relative error = 1.831911904082922e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.459
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.659999999999881
y[1] (analytic) = 0.8259881448911804
y[1] (numeric) = 0.8259881448911657
absolute error = 1.476596622751458e-14
relative error = 1.787672900494222e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4628
Order of pole (three term test) = 22.31
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.669999999999881
y[1] (analytic) = 0.8339314847527686
y[1] (numeric) = 0.8339314847527539
absolute error = 1.465494392505207e-14
relative error = 1.757331890328705e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4665
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.679999999999881
y[1] (analytic) = 0.8419914304941608
y[1] (numeric) = 0.8419914304941464
absolute error = 1.443289932012704e-14
relative error = 1.714138505145644e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.47
Order of pole (three term test) = 22.33
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.68999999999988
y[1] (analytic) = 0.8501671761274998
y[1] (numeric) = 0.8501671761274855
absolute error = 1.432187701766452e-14
relative error = 1.684595385451186e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4734
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.69999999999988
y[1] (analytic) = 0.8584579040850352
y[1] (numeric) = 0.8584579040850211
absolute error = 1.409983241273949e-14
relative error = 1.642460549975065e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4765
Order of pole (three term test) = 22.35
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.70999999999988
y[1] (analytic) = 0.8668627853008801
y[1] (numeric) = 0.8668627853008662
absolute error = 1.387778780781446e-14
relative error = 1.60092093502406e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4794
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.71999999999988
y[1] (analytic) = 0.8753809792939171
y[1] (numeric) = 0.8753809792939035
absolute error = 1.365574320288943e-14
relative error = 1.559977144340531e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4822
Order of pole (three term test) = 22.37
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.72999999999988
y[1] (analytic) = 0.8840116342518454
y[1] (numeric) = 0.8840116342518318
absolute error = 1.354472090042691e-14
relative error = 1.532188081652347e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4847
Order of pole (three term test) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.739999999999879
y[1] (analytic) = 0.8927538871163612
y[1] (numeric) = 0.8927538871163478
absolute error = 1.332267629550188e-14
relative error = 1.492312325688637e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4871
Order of pole (three term test) = 22.39
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.749999999999879
y[1] (analytic) = 0.9016068636694633
y[1] (numeric) = 0.9016068636694502
absolute error = 1.310063169057685e-14
relative error = 1.453031495041907e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4892
Order of pole (three term test) = 22.4
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.759999999999879
y[1] (analytic) = 0.9105696786208739
y[1] (numeric) = 0.910569678620861
absolute error = 1.287858708565182e-14
relative error = 1.414343941823036e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4912
Order of pole (three term test) = 22.41
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.769999999999879
y[1] (analytic) = 0.919641435696567
y[1] (numeric) = 0.9196414356965542
absolute error = 1.27675647831893e-14
relative error = 1.388319869854355e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.493
Order of pole (three term test) = 22.42
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.779999999999879
y[1] (analytic) = 0.9288212277283945
y[1] (numeric) = 0.9288212277283819
absolute error = 1.254552017826427e-14
relative error = 1.350692663317642e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4945
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.789999999999878
y[1] (analytic) = 0.9381081367448031
y[1] (numeric) = 0.9381081367447908
absolute error = 1.232347557333924e-14
relative error = 1.313651922485311e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4959
Order of pole (three term test) = 22.44
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.799999999999878
y[1] (analytic) = 0.9475012340626303
y[1] (numeric) = 0.9475012340626182
absolute error = 1.210143096841421e-14
relative error = 1.2771942171016e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4971
Order of pole (three term test) = 22.45
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.809999999999878
y[1] (analytic) = 0.956999580379972
y[1] (numeric) = 0.95699958037996
absolute error = 1.199040866595169e-14
relative error = 1.252916815406644e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4981
Order of pole (three term test) = 22.46
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.819999999999878
y[1] (analytic) = 0.9666022258701115
y[1] (numeric) = 0.9666022258700997
absolute error = 1.176836406102666e-14
relative error = 1.217498133778149e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4988
Order of pole (three term test) = 22.47
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.829999999999878
y[1] (analytic) = 0.9763082102765018
y[1] (numeric) = 0.9763082102764904
absolute error = 1.143529715363911e-14
relative error = 1.171279421116463e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4994
Order of pole (three term test) = 22.48
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.839999999999877
y[1] (analytic) = 0.9861165630087912
y[1] (numeric) = 0.9861165630087798
absolute error = 1.143529715363911e-14
relative error = 1.159629356467585e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4998
Order of pole (three term test) = 22.49
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.849999999999877
y[1] (analytic) = 0.9960263032398795
y[1] (numeric) = 0.9960263032398683
absolute error = 1.121325254871408e-14
relative error = 1.125798838066782e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.5
Order of pole (three term test) = 22.5
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.859999999999877
y[1] (analytic) = 1.006036440004002
y[1] (numeric) = 1.006036440003991
absolute error = 1.06581410364015e-14
relative error = 1.059418984501109e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.5
Order of pole (three term test) = 22.51
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.869999999999877
y[1] (analytic) = 1.016145972295824
y[1] (numeric) = 1.016145972295813
absolute error = 1.088018564132653e-14
relative error = 1.070730577885818e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4997
Order of pole (three term test) = 22.52
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.879999999999876
y[1] (analytic) = 1.02635388917054
y[1] (numeric) = 1.026353889170529
absolute error = 1.021405182655144e-14
relative error = 9.951783623878553e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4993
Order of pole (three term test) = 22.53
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.889999999999876
y[1] (analytic) = 1.036659169844971
y[1] (numeric) = 1.03665916984496
absolute error = 1.06581410364015e-14
relative error = 1.028123933731797e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4987
Order of pole (three term test) = 22.54
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.899999999999876
y[1] (analytic) = 1.047060783799635
y[1] (numeric) = 1.047060783799625
absolute error = 1.021405182655144e-14
relative error = 9.75497505453895e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4979
Order of pole (three term test) = 22.55
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.909999999999876
y[1] (analytic) = 1.057557690881807
y[1] (numeric) = 1.057557690881796
absolute error = 1.021405182655144e-14
relative error = 9.658150959154597e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4969
Order of pole (three term test) = 22.56
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.919999999999876
y[1] (analytic) = 1.068148841409523
y[1] (numeric) = 1.068148841409513
absolute error = 9.769962616701378e-15
relative error = 9.146630355193748e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4956
Order of pole (three term test) = 22.57
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.929999999999875
y[1] (analytic) = 1.078833176276559
y[1] (numeric) = 1.07883317627655
absolute error = 9.547918011776346e-15
relative error = 8.850226542651979e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4942
Order of pole (three term test) = 22.58
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.939999999999875
y[1] (analytic) = 1.089609627058331
y[1] (numeric) = 1.089609627058322
absolute error = 9.325873406851315e-15
relative error = 8.558912453837985e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4926
Order of pole (three term test) = 22.59
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.949999999999875
y[1] (analytic) = 1.100477116118741
y[1] (numeric) = 1.100477116118732
absolute error = 8.881784197001252e-15
relative error = 8.070848604581898e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4908
Order of pole (three term test) = 22.6
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.959999999999875
y[1] (analytic) = 1.111434556717939
y[1] (numeric) = 1.11143455671793
absolute error = 8.881784197001252e-15
relative error = 7.99127950747646e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4888
Order of pole (three term test) = 22.61
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.969999999999875
y[1] (analytic) = 1.122480853120997
y[1] (numeric) = 1.122480853120988
absolute error = 8.43769498715119e-15
relative error = 7.517005714343045e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4866
Order of pole (three term test) = 22.61
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.979999999999874
y[1] (analytic) = 1.133614900707479
y[1] (numeric) = 1.133614900707471
absolute error = 8.659739592076221e-15
relative error = 7.639048839841247e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4842
Order of pole (three term test) = 22.62
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.989999999999874
y[1] (analytic) = 1.144835586081905
y[1] (numeric) = 1.144835586081897
absolute error = 8.215650382226158e-15
relative error = 7.176270970352579e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4816
Order of pole (three term test) = 22.63
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.999999999999874
y[1] (analytic) = 1.156141787185089
y[1] (numeric) = 1.156141787185081
absolute error = 7.993605777301127e-15
relative error = 6.914035861261901e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4788
Order of pole (three term test) = 22.64
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.009999999999874
y[1] (analytic) = 1.167532373406341
y[1] (numeric) = 1.167532373406333
absolute error = 7.771561172376096e-15
relative error = 6.656398871152613e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4759
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.019999999999873
y[1] (analytic) = 1.179006205696531
y[1] (numeric) = 1.179006205696524
absolute error = 7.771561172376096e-15
relative error = 6.591620243241065e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4727
Order of pole (three term test) = 22.66
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.029999999999873
y[1] (analytic) = 1.190562136681993
y[1] (numeric) = 1.190562136681986
absolute error = 7.549516567451064e-15
relative error = 6.341136119523335e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4693
Order of pole (three term test) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.039999999999873
y[1] (analytic) = 1.202199010779257
y[1] (numeric) = 1.20219901077925
absolute error = 6.883382752675971e-15
relative error = 5.725659970568608e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4658
Order of pole (three term test) = 22.68
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.049999999999873
y[1] (analytic) = 1.213915664310611
y[1] (numeric) = 1.213915664310605
absolute error = 6.661338147750939e-15
relative error = 5.487480179715734e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4621
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.059999999999873
y[1] (analytic) = 1.225710925620467
y[1] (numeric) = 1.22571092562046
absolute error = 6.217248937900877e-15
relative error = 5.072361523377665e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4582
Order of pole (three term test) = 22.7
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.069999999999872
y[1] (analytic) = 1.237583615192521
y[1] (numeric) = 1.237583615192515
absolute error = 5.773159728050814e-15
relative error = 4.664864383448331e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4541
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.079999999999872
y[1] (analytic) = 1.249532545767711
y[1] (numeric) = 1.249532545767706
absolute error = 5.773159728050814e-15
relative error = 4.620255588864067e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4498
Order of pole (three term test) = 22.72
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.089999999999872
y[1] (analytic) = 1.261556522462937
y[1] (numeric) = 1.261556522462932
absolute error = 5.551115123125783e-15
relative error = 4.400211186961594e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4453
Order of pole (three term test) = 22.73
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.099999999999872
y[1] (analytic) = 1.273654342890549
y[1] (numeric) = 1.273654342890544
absolute error = 4.884981308350689e-15
relative error = 3.835405842737723e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4407
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.109999999999872
y[1] (analytic) = 1.285824797278587
y[1] (numeric) = 1.285824797278582
absolute error = 4.884981308350689e-15
relative error = 3.799103360496406e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4359
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.119999999999871
y[1] (analytic) = 1.298066668591752
y[1] (numeric) = 1.298066668591747
absolute error = 4.662936703425657e-15
relative error = 3.59221665285065e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4309
Order of pole (three term test) = 22.75
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.129999999999871
y[1] (analytic) = 1.310378732653116
y[1] (numeric) = 1.310378732653111
absolute error = 4.218847493575595e-15
relative error = 3.219563465467515e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4257
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.139999999999871
y[1] (analytic) = 1.322759758266531
y[1] (numeric) = 1.322759758266527
absolute error = 3.996802888650564e-15
relative error = 3.021563714554145e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4204
Order of pole (three term test) = 22.77
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.149999999999871
y[1] (analytic) = 1.335208507339756
y[1] (numeric) = 1.335208507339752
absolute error = 3.996802888650564e-15
relative error = 2.993392317888775e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4149
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.15999999999987
y[1] (analytic) = 1.347723735008255
y[1] (numeric) = 1.347723735008251
absolute error = 3.774758283725532e-15
relative error = 2.800839805423781e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4092
Order of pole (three term test) = 22.79
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.16999999999987
y[1] (analytic) = 1.360304189759691
y[1] (numeric) = 1.360304189759688
absolute error = 3.33066907387547e-15
relative error = 2.448473730323406e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4034
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.17999999999987
y[1] (analytic) = 1.372948613559073
y[1] (numeric) = 1.372948613559071
absolute error = 2.664535259100376e-15
relative error = 1.940739247474924e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3974
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.18999999999987
y[1] (analytic) = 1.385655741974559
y[1] (numeric) = 1.385655741974557
absolute error = 2.664535259100376e-15
relative error = 1.9229417368151e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3913
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.19999999999987
y[1] (analytic) = 1.398424304303895
y[1] (numeric) = 1.398424304303893
absolute error = 2.220446049250313e-15
relative error = 1.587819978826528e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.385
Order of pole (three term test) = 22.82
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.209999999999869
y[1] (analytic) = 1.41125302370149
y[1] (numeric) = 1.411253023701488
absolute error = 2.220446049250313e-15
relative error = 1.573386212081544e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3785
Order of pole (three term test) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.219999999999869
y[1] (analytic) = 1.424140617306093
y[1] (numeric) = 1.424140617306092
absolute error = 1.554312234475219e-15
relative error = 1.091403626571201e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3719
Order of pole (three term test) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.229999999999869
y[1] (analytic) = 1.437085796369085
y[1] (numeric) = 1.437085796369084
absolute error = 1.332267629550188e-15
relative error = 9.270619979101256e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3651
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.239999999999869
y[1] (analytic) = 1.450087266383346
y[1] (numeric) = 1.450087266383345
absolute error = 1.110223024625157e-15
relative error = 7.656249733122318e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3582
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.249999999999869
y[1] (analytic) = 1.46314372721271
y[1] (numeric) = 1.463143727212709
absolute error = 8.881784197001252e-16
relative error = 6.070342941578993e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3512
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.259999999999868
y[1] (analytic) = 1.476253873221973
y[1] (numeric) = 1.476253873221973
absolute error = 6.661338147750939e-16
relative error = 4.51232560237918e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.344
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.269999999999868
y[1] (analytic) = 1.489416393407461
y[1] (numeric) = 1.489416393407461
absolute error = 2.220446049250313e-16
relative error = 1.490816174092468e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3367
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.279999999999868
y[1] (analytic) = 1.502629971528123
y[1] (numeric) = 1.502629971528123
absolute error = 2.220446049250313e-16
relative error = 1.477706482183498e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3292
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.289999999999868
y[1] (analytic) = 1.515893286237159
y[1] (numeric) = 1.515893286237159
absolute error = 6.661338147750939e-16
relative error = 4.394331849233341e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3216
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.299999999999867
y[1] (analytic) = 1.52920501121415
y[1] (numeric) = 1.529205011214151
absolute error = 8.881784197001252e-16
relative error = 5.808105605113956e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3139
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.309999999999867
y[1] (analytic) = 1.542563815297691
y[1] (numeric) = 1.542563815297693
absolute error = 1.110223024625157e-15
relative error = 7.19725831511807e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3061
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.319999999999867
y[1] (analytic) = 1.555968362618508
y[1] (numeric) = 1.555968362618509
absolute error = 1.554312234475219e-15
relative error = 9.989356286521781e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2981
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.329999999999867
y[1] (analytic) = 1.569417312733037
y[1] (numeric) = 1.569417312733039
absolute error = 1.77635683940025e-15
relative error = 1.131857553111123e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.29
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.339999999999867
y[1] (analytic) = 1.582909320757476
y[1] (numeric) = 1.582909320757478
absolute error = 2.220446049250313e-15
relative error = 1.402762634683176e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2818
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.349999999999866
y[1] (analytic) = 1.596443037502264
y[1] (numeric) = 1.596443037502266
absolute error = 2.220446049250313e-15
relative error = 1.390870827890196e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2735
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.359999999999866
y[1] (analytic) = 1.610017109607006
y[1] (numeric) = 1.610017109607008
absolute error = 2.664535259100376e-15
relative error = 1.654973256620093e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2651
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.369999999999866
y[1] (analytic) = 1.623630179675803
y[1] (numeric) = 1.623630179675805
absolute error = 2.442490654175344e-15
relative error = 1.504339279196601e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2565
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.379999999999866
y[1] (analytic) = 1.637280886412991
y[1] (numeric) = 1.637280886412994
absolute error = 2.664535259100376e-15
relative error = 1.627414868891512e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2479
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.389999999999866
y[1] (analytic) = 1.650967864759272
y[1] (numeric) = 1.650967864759276
absolute error = 3.33066907387547e-15
relative error = 2.0174039392106e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2392
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.399999999999865
y[1] (analytic) = 1.66468974602822
y[1] (numeric) = 1.664689746028223
absolute error = 3.33066907387547e-15
relative error = 2.000774667965672e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2303
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.409999999999865
y[1] (analytic) = 1.67844515804314
y[1] (numeric) = 1.678445158043143
absolute error = 3.552713678800501e-15
relative error = 2.116669503186227e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2214
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.419999999999865
y[1] (analytic) = 1.692232725274293
y[1] (numeric) = 1.692232725274298
absolute error = 4.440892098500626e-15
relative error = 2.624279764936471e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2124
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.429999999999865
y[1] (analytic) = 1.706051068976448
y[1] (numeric) = 1.706051068976453
absolute error = 4.440892098500626e-15
relative error = 2.603024129380228e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2033
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.439999999999864
y[1] (analytic) = 1.719898807326749
y[1] (numeric) = 1.719898807326754
absolute error = 4.884981308350689e-15
relative error = 2.840272513441329e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1941
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.449999999999864
y[1] (analytic) = 1.7337745555629
y[1] (numeric) = 1.733774555562905
absolute error = 4.884981308350689e-15
relative error = 2.817541238378997e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1849
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.459999999999864
y[1] (analytic) = 1.747676926121641
y[1] (numeric) = 1.747676926121646
absolute error = 5.329070518200751e-15
relative error = 3.049230918226268e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1756
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.469999999999864
y[1] (analytic) = 1.761604528777501
y[1] (numeric) = 1.761604528777507
absolute error = 5.551115123125783e-15
relative error = 3.15116987521489e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1662
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.479999999999864
y[1] (analytic) = 1.775555970781821
y[1] (numeric) = 1.775555970781827
absolute error = 5.995204332975845e-15
relative error = 3.376522301539167e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1567
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.489999999999863
y[1] (analytic) = 1.789529857002027
y[1] (numeric) = 1.789529857002033
absolute error = 6.439293542825908e-15
relative error = 3.598315790949451e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1472
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.499999999999863
y[1] (analytic) = 1.803524790061142
y[1] (numeric) = 1.803524790061148
absolute error = 6.439293542825908e-15
relative error = 3.570393697004634e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1376
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.509999999999863
y[1] (analytic) = 1.817539370477522
y[1] (numeric) = 1.817539370477528
absolute error = 6.883382752675971e-15
relative error = 3.787198706384831e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1279
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.519999999999863
y[1] (analytic) = 1.831572196804803
y[1] (numeric) = 1.831572196804811
absolute error = 7.327471962526033e-15
relative error = 4.000645988898982e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1182
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.529999999999863
y[1] (analytic) = 1.845621865772049
y[1] (numeric) = 1.845621865772056
absolute error = 7.549516567451064e-15
relative error = 4.090500176369009e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1085
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.539999999999862
y[1] (analytic) = 1.859686972424069
y[1] (numeric) = 1.859686972424077
absolute error = 7.993605777301127e-15
relative error = 4.298360904728824e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09873
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.549999999999862
y[1] (analytic) = 1.873766110261919
y[1] (numeric) = 1.873766110261928
absolute error = 8.215650382226158e-15
relative error = 4.384565574770565e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0889
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.559999999999862
y[1] (analytic) = 1.88785787138355
y[1] (numeric) = 1.887857871383558
absolute error = 8.215650382226158e-15
relative error = 4.351837342609471e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07905
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.569999999999862
y[1] (analytic) = 1.901960846624589
y[1] (numeric) = 1.901960846624598
absolute error = 8.881784197001252e-15
relative error = 4.669803909351635e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06916
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.579999999999862
y[1] (analytic) = 1.916073625699268
y[1] (numeric) = 1.916073625699277
absolute error = 9.325873406851315e-15
relative error = 4.867179048742375e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05924
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.589999999999861
y[1] (analytic) = 1.930194797341438
y[1] (numeric) = 1.930194797341448
absolute error = 9.992007221626409e-15
relative error = 5.176683325117725e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0493
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.599999999999861
y[1] (analytic) = 1.944322949445703
y[1] (numeric) = 1.944322949445713
absolute error = 9.769962616701378e-15
relative error = 5.024866172302623e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03934
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.609999999999861
y[1] (analytic) = 1.958456669208626
y[1] (numeric) = 1.958456669208637
absolute error = 1.06581410364015e-14
relative error = 5.44211225296511e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02936
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.619999999999861
y[1] (analytic) = 1.97259454327001
y[1] (numeric) = 1.97259454327002
absolute error = 1.043609643147647e-14
relative error = 5.290543090612197e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01937
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.62999999999986
y[1] (analytic) = 1.986735157854228
y[1] (numeric) = 1.986735157854239
absolute error = 1.110223024625157e-14
relative error = 5.588178274472438e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.009379
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.63999999999986
y[1] (analytic) = 2.000877098911607
y[1] (numeric) = 2.000877098911618
absolute error = 1.110223024625157e-14
relative error = 5.54868175176312e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0006202
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.64999999999986
y[1] (analytic) = 2.015018952259826
y[1] (numeric) = 2.015018952259837
absolute error = 1.110223024625157e-14
relative error = 5.509739863141493e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01062
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.65999999999986
y[1] (analytic) = 2.029159303725334
y[1] (numeric) = 2.029159303725345
absolute error = 1.110223024625157e-14
relative error = 5.471344820423402e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02061
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.66999999999986
y[1] (analytic) = 2.043296739284769
y[1] (numeric) = 2.043296739284781
absolute error = 1.154631945610163e-14
relative error = 5.650828503814514e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0306
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.679999999999859
y[1] (analytic) = 2.057429845206356
y[1] (numeric) = 2.057429845206368
absolute error = 1.199040866595169e-14
relative error = 5.827857845986032e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04058
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.689999999999859
y[1] (analytic) = 2.071557208191281
y[1] (numeric) = 2.071557208191293
absolute error = 1.243449787580175e-14
relative error = 6.002488285929872e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05053
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.699999999999859
y[1] (analytic) = 2.085677415515018
y[1] (numeric) = 2.08567741551503
absolute error = 1.243449787580175e-14
relative error = 5.961850947468449e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06047
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.709999999999859
y[1] (analytic) = 2.0997890551686
y[1] (numeric) = 2.099789055168613
absolute error = 1.287858708565182e-14
relative error = 6.133276604119525e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07039
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.719999999999859
y[1] (analytic) = 2.113890715999823
y[1] (numeric) = 2.113890715999836
absolute error = 1.332267629550188e-14
relative error = 6.302443260034166e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08027
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.729999999999858
y[1] (analytic) = 2.127980987854354
y[1] (numeric) = 2.127980987854368
absolute error = 1.376676550535194e-14
relative error = 6.469402491811259e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09012
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.739999999999858
y[1] (analytic) = 2.142058461716751
y[1] (numeric) = 2.142058461716764
absolute error = 1.376676550535194e-14
relative error = 6.426885984390258e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09994
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.749999999999858
y[1] (analytic) = 2.156121729851357
y[1] (numeric) = 2.156121729851371
absolute error = 1.4210854715202e-14
relative error = 6.590933396038683e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1097
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.759999999999858
y[1] (analytic) = 2.170169385943079
y[1] (numeric) = 2.170169385943094
absolute error = 1.465494392505207e-14
relative error = 6.752903261826977e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1195
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.769999999999857
y[1] (analytic) = 2.184200025238015
y[1] (numeric) = 2.18420002523803
absolute error = 1.465494392505207e-14
relative error = 6.70952465695311e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1291
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.779999999999857
y[1] (analytic) = 2.198212244683926
y[1] (numeric) = 2.198212244683941
absolute error = 1.465494392505207e-14
relative error = 6.66675566042043e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1388
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.789999999999857
y[1] (analytic) = 2.212204643070545
y[1] (numeric) = 2.21220464307056
absolute error = 1.554312234475219e-14
relative error = 7.026077986699416e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1484
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.799999999999857
y[1] (analytic) = 2.226175821169694
y[1] (numeric) = 2.226175821169709
absolute error = 1.554312234475219e-14
relative error = 6.981983272365887e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1579
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.809999999999857
y[1] (analytic) = 2.240124381875204
y[1] (numeric) = 2.24012438187522
absolute error = 1.598721155460225e-14
relative error = 7.136751728589011e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1673
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.819999999999856
y[1] (analytic) = 2.254048930342631
y[1] (numeric) = 2.254048930342647
absolute error = 1.598721155460225e-14
relative error = 7.092663934394757e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1767
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.829999999999856
y[1] (analytic) = 2.267948074128729
y[1] (numeric) = 2.267948074128745
absolute error = 1.598721155460225e-14
relative error = 7.049196468373294e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.186
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.839999999999856
y[1] (analytic) = 2.281820423330704
y[1] (numeric) = 2.281820423330721
absolute error = 1.643130076445232e-14
relative error = 7.200961388744187e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1953
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.849999999999856
y[1] (analytic) = 2.295664590725196
y[1] (numeric) = 2.295664590725213
absolute error = 1.687538997430238e-14
relative error = 7.350982387619384e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2044
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.859999999999856
y[1] (analytic) = 2.309479191907002
y[1] (numeric) = 2.309479191907019
absolute error = 1.687538997430238e-14
relative error = 7.307011049693804e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2135
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.869999999999855
y[1] (analytic) = 2.323262845427515
y[1] (numeric) = 2.323262845427533
absolute error = 1.731947918415244e-14
relative error = 7.454808317638032e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2225
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.879999999999855
y[1] (analytic) = 2.337014172932871
y[1] (numeric) = 2.337014172932888
absolute error = 1.77635683940025e-14
relative error = 7.600967336757676e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2314
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.889999999999855
y[1] (analytic) = 2.350731799301777
y[1] (numeric) = 2.350731799301795
absolute error = 1.77635683940025e-14
relative error = 7.556612115120365e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2403
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.899999999999855
y[1] (analytic) = 2.364414352783029
y[1] (numeric) = 2.364414352783047
absolute error = 1.865174681370263e-14
relative error = 7.888527149121994e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.249
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.909999999999854
y[1] (analytic) = 2.37806046513268
y[1] (numeric) = 2.378060465132699
absolute error = 1.909583602355269e-14
relative error = 8.030004410542722e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2576
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.919999999999854
y[1] (analytic) = 2.391668771750866
y[1] (numeric) = 2.391668771750886
absolute error = 1.953992523340276e-14
relative error = 8.169996390887432e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2661
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.929999999999854
y[1] (analytic) = 2.405237911818269
y[1] (numeric) = 2.405237911818288
absolute error = 1.909583602355269e-14
relative error = 7.939271175514178e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2745
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.939999999999854
y[1] (analytic) = 2.418766528432185
y[1] (numeric) = 2.418766528432205
absolute error = 1.998401444325282e-14
relative error = 8.262068375903239e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2828
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.949999999999854
y[1] (analytic) = 2.432253268742229
y[1] (numeric) = 2.43225326874225
absolute error = 2.042810365310288e-14
relative error = 8.398839017150009e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.291
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.959999999999853
y[1] (analytic) = 2.445696784085609
y[1] (numeric) = 2.44569678408563
absolute error = 2.087219286295294e-14
relative error = 8.534252078495734e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2991
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.969999999999853
y[1] (analytic) = 2.459095730121994
y[1] (numeric) = 2.459095730122015
absolute error = 2.087219286295294e-14
relative error = 8.487751252334324e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.307
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.979999999999853
y[1] (analytic) = 2.472448766967945
y[1] (numeric) = 2.472448766967966
absolute error = 2.131628207280301e-14
relative error = 8.621526301207831e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3149
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.989999999999853
y[1] (analytic) = 2.485754559330905
y[1] (numeric) = 2.485754559330926
absolute error = 2.131628207280301e-14
relative error = 8.575376837905006e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3226
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.999999999999853
y[1] (analytic) = 2.499011776642725
y[1] (numeric) = 2.499011776642747
absolute error = 2.220446049250313e-14
relative error = 8.885296460000486e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3302
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.009999999999852
y[1] (analytic) = 2.512219093192724
y[1] (numeric) = 2.512219093192746
absolute error = 2.220446049250313e-14
relative error = 8.838584402399384e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3376
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.019999999999852
y[1] (analytic) = 2.52537518826025
y[1] (numeric) = 2.525375188260273
absolute error = 2.264854970235319e-14
relative error = 8.968390046611627e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3449
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.029999999999852
y[1] (analytic) = 2.538478746246763
y[1] (numeric) = 2.538478746246785
absolute error = 2.220446049250313e-14
relative error = 8.747152413756966e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3521
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.039999999999852
y[1] (analytic) = 2.551528456807381
y[1] (numeric) = 2.551528456807404
absolute error = 2.264854970235319e-14
relative error = 8.876463690588173e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3591
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.049999999999851
y[1] (analytic) = 2.564523014981924
y[1] (numeric) = 2.564523014981947
absolute error = 2.309263891220326e-14
relative error = 9.004652630253749e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.366
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.059999999999851
y[1] (analytic) = 2.577461121325404
y[1] (numeric) = 2.577461121325427
absolute error = 2.309263891220326e-14
relative error = 8.959451888969082e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3727
Order of pole (three term test) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.069999999999851
y[1] (analytic) = 2.590341482037966
y[1] (numeric) = 2.59034148203799
absolute error = 2.353672812205332e-14
relative error = 9.086341814491448e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3793
Order of pole (three term test) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.079999999999851
y[1] (analytic) = 2.603162809094274
y[1] (numeric) = 2.603162809094298
absolute error = 2.398081733190338e-14
relative error = 9.21218498056489e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3858
Order of pole (three term test) = 22.82
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.089999999999851
y[1] (analytic) = 2.615923820372307
y[1] (numeric) = 2.615923820372331
absolute error = 2.442490654175344e-14
relative error = 9.337009874499026e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.392
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.09999999999985
y[1] (analytic) = 2.628623239781571
y[1] (numeric) = 2.628623239781596
absolute error = 2.486899575160351e-14
relative error = 9.460844511771886e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3982
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.10999999999985
y[1] (analytic) = 2.641259797390707
y[1] (numeric) = 2.641259797390732
absolute error = 2.531308496145357e-14
relative error = 9.58371644715158e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4041
Order of pole (three term test) = 22.79
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.11999999999985
y[1] (analytic) = 2.653832229554486
y[1] (numeric) = 2.653832229554511
absolute error = 2.531308496145357e-14
relative error = 9.538313944473807e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.41
Order of pole (three term test) = 22.79
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.12999999999985
y[1] (analytic) = 2.666339279040169
y[1] (numeric) = 2.666339279040193
absolute error = 2.486899575160351e-14
relative error = 9.327018488268258e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4156
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.13999999999985
y[1] (analytic) = 2.678779695153227
y[1] (numeric) = 2.678779695153252
absolute error = 2.531308496145357e-14
relative error = 9.44948366125556e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4211
Order of pole (three term test) = 22.77
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.149999999999849
y[1] (analytic) = 2.691152233862419
y[1] (numeric) = 2.691152233862444
absolute error = 2.531308496145357e-14
relative error = 9.406039778405068e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4264
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.159999999999849
y[1] (analytic) = 2.703455657924182
y[1] (numeric) = 2.703455657924208
absolute error = 2.575717417130363e-14
relative error = 9.527500144419232e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4315
Order of pole (three term test) = 22.75
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.169999999999849
y[1] (analytic) = 2.715688737006364
y[1] (numeric) = 2.71568873700639
absolute error = 2.620126338115369e-14
relative error = 9.648109897173499e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4365
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.179999999999849
y[1] (analytic) = 2.727850247811251
y[1] (numeric) = 2.727850247811277
absolute error = 2.620126338115369e-14
relative error = 9.605095955020567e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4413
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.189999999999849
y[1] (analytic) = 2.739938974197896
y[1] (numeric) = 2.739938974197923
absolute error = 2.664535259100376e-14
relative error = 9.724797830142934e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4459
Order of pole (three term test) = 22.73
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.199999999999848
y[1] (analytic) = 2.751953707303735
y[1] (numeric) = 2.751953707303763
absolute error = 2.753353101070388e-14
relative error = 1.000508509195827e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4503
Order of pole (three term test) = 22.72
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.209999999999848
y[1] (analytic) = 2.76389324566547
y[1] (numeric) = 2.763893245665498
absolute error = 2.753353101070388e-14
relative error = 9.961864863588304e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4546
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.219999999999848
y[1] (analytic) = 2.775756395339214
y[1] (numeric) = 2.775756395339242
absolute error = 2.797762022055394e-14
relative error = 1.007927794655587e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4586
Order of pole (three term test) = 22.7
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.229999999999848
y[1] (analytic) = 2.787541970019886
y[1] (numeric) = 2.787541970019914
absolute error = 2.842170943040401e-14
relative error = 1.019597542784307e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4625
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.239999999999847
y[1] (analytic) = 2.799248791159838
y[1] (numeric) = 2.799248791159867
absolute error = 2.886579864025407e-14
relative error = 1.031198038967228e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4662
Order of pole (three term test) = 22.68
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.249999999999847
y[1] (analytic) = 2.810875688086713
y[1] (numeric) = 2.810875688086742
absolute error = 2.930988785010413e-14
relative error = 1.042731557796303e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4698
Order of pole (three term test) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.259999999999847
y[1] (analytic) = 2.822421498120506
y[1] (numeric) = 2.822421498120536
absolute error = 2.930988785010413e-14
relative error = 1.03846600763288e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4731
Order of pole (three term test) = 22.66
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.269999999999847
y[1] (analytic) = 2.833885066689838
y[1] (numeric) = 2.833885066689867
absolute error = 2.886579864025407e-14
relative error = 1.01859454286095e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4762
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.279999999999847
y[1] (analytic) = 2.845265247447401
y[1] (numeric) = 2.84526524744743
absolute error = 2.97539770599542e-14
relative error = 1.045736494572787e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4792
Order of pole (three term test) = 22.64
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.289999999999846
y[1] (analytic) = 2.856560902384605
y[1] (numeric) = 2.856560902384635
absolute error = 2.97539770599542e-14
relative error = 1.041601354801017e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4819
Order of pole (three term test) = 22.63
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.299999999999846
y[1] (analytic) = 2.867770901945369
y[1] (numeric) = 2.867770901945399
absolute error = 3.019806626980426e-14
relative error = 1.053015296630537e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4845
Order of pole (three term test) = 22.62
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.309999999999846
y[1] (analytic) = 2.878894125139078
y[1] (numeric) = 2.878894125139109
absolute error = 3.064215547965432e-14
relative error = 1.06437243426498e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4869
Order of pole (three term test) = 22.61
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.319999999999846
y[1] (analytic) = 2.889929459652684
y[1] (numeric) = 2.889929459652715
absolute error = 3.064215547965432e-14
relative error = 1.060308076977662e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4891
Order of pole (three term test) = 22.6
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.329999999999846
y[1] (analytic) = 2.900875801961929
y[1] (numeric) = 2.90087580196196
absolute error = 3.108624468950438e-14
relative error = 1.071615843342209e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.491
Order of pole (three term test) = 22.59
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.339999999999845
y[1] (analytic) = 2.911732057441705
y[1] (numeric) = 2.911732057441736
absolute error = 3.108624468950438e-14
relative error = 1.067620374273629e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4928
Order of pole (three term test) = 22.58
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.349999999999845
y[1] (analytic) = 2.922497140475512
y[1] (numeric) = 2.922497140475543
absolute error = 3.153033389935445e-14
relative error = 1.078883310531631e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4944
Order of pole (three term test) = 22.57
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.359999999999845
y[1] (analytic) = 2.933169974564015
y[1] (numeric) = 2.933169974564047
absolute error = 3.197442310920451e-14
relative error = 1.090097859533598e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4958
Order of pole (three term test) = 22.56
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.369999999999845
y[1] (analytic) = 2.943749492432702
y[1] (numeric) = 2.943749492432734
absolute error = 3.153033389935445e-14
relative error = 1.07109432988124e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.497
Order of pole (three term test) = 22.55
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.379999999999844
y[1] (analytic) = 2.9542346361386
y[1] (numeric) = 2.954234636138632
absolute error = 3.197442310920451e-14
relative error = 1.08232510437957e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.498
Order of pole (three term test) = 22.54
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.389999999999844
y[1] (analytic) = 2.964624357176078
y[1] (numeric) = 2.96462435717611
absolute error = 3.241851231905457e-14
relative error = 1.093511636325301e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4988
Order of pole (three term test) = 22.53
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.399999999999844
y[1] (analytic) = 2.974917616581688
y[1] (numeric) = 2.974917616581721
absolute error = 3.286260152890463e-14
relative error = 1.104655851501031e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4994
Order of pole (three term test) = 22.52
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.409999999999844
y[1] (analytic) = 2.98511338503807
y[1] (numeric) = 2.985113385038103
absolute error = 3.286260152890463e-14
relative error = 1.100882857368767e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4998
Order of pole (three term test) = 22.51
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.419999999999844
y[1] (analytic) = 2.995210642976873
y[1] (numeric) = 2.995210642976906
absolute error = 3.286260152890463e-14
relative error = 1.097171633185813e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.5
Order of pole (three term test) = 22.5
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.429999999999843
y[1] (analytic) = 3.005208380680717
y[1] (numeric) = 3.00520838068075
absolute error = 3.286260152890463e-14
relative error = 1.093521558776595e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.5
Order of pole (three term test) = 22.49
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.439999999999843
y[1] (analytic) = 3.015105598384164
y[1] (numeric) = 3.015105598384197
absolute error = 3.375077994860476e-14
relative error = 1.11938964813346e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4998
Order of pole (three term test) = 22.48
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.449999999999843
y[1] (analytic) = 3.024901306373691
y[1] (numeric) = 3.024901306373725
absolute error = 3.375077994860476e-14
relative error = 1.115764665693038e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4994
Order of pole (three term test) = 22.47
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.459999999999843
y[1] (analytic) = 3.034594525086663
y[1] (numeric) = 3.034594525086697
absolute error = 3.375077994860476e-14
relative error = 1.112200647222907e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4988
Order of pole (three term test) = 22.46
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.469999999999843
y[1] (analytic) = 3.044184285209285
y[1] (numeric) = 3.044184285209319
absolute error = 3.419486915845482e-14
relative error = 1.123285121882953e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.498
Order of pole (three term test) = 22.45
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.479999999999842
y[1] (analytic) = 3.053669627773536
y[1] (numeric) = 3.053669627773571
absolute error = 3.419486915845482e-14
relative error = 1.119795961142878e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.497
Order of pole (three term test) = 22.44
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.489999999999842
y[1] (analytic) = 3.063049604253066
y[1] (numeric) = 3.0630496042531
absolute error = 3.463895836830488e-14
relative error = 1.130865080350264e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4958
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.499999999999842
y[1] (analytic) = 3.072323276658042
y[1] (numeric) = 3.072323276658076
absolute error = 3.419486915845482e-14
relative error = 1.112997106074421e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4944
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.509999999999842
y[1] (analytic) = 3.081489717628952
y[1] (numeric) = 3.081489717628986
absolute error = 3.463895836830488e-14
relative error = 1.124097807957568e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4928
Order of pole (three term test) = 22.42
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.519999999999841
y[1] (analytic) = 3.090548010529337
y[1] (numeric) = 3.090548010529372
absolute error = 3.508304757815495e-14
relative error = 1.135172385564917e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.491
Order of pole (three term test) = 22.41
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.529999999999841
y[1] (analytic) = 3.099497249537457
y[1] (numeric) = 3.099497249537492
absolute error = 3.508304757815495e-14
relative error = 1.131894780141858e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.489
Order of pole (three term test) = 22.4
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.539999999999841
y[1] (analytic) = 3.108336539736867
y[1] (numeric) = 3.108336539736903
absolute error = 3.552713678800501e-14
relative error = 1.142963007184947e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4868
Order of pole (three term test) = 22.39
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.549999999999841
y[1] (analytic) = 3.117064997205915
y[1] (numeric) = 3.11706499720595
absolute error = 3.552713678800501e-14
relative error = 1.139762463081487e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4844
Order of pole (three term test) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.559999999999841
y[1] (analytic) = 3.125681749106126
y[1] (numeric) = 3.125681749106162
absolute error = 3.597122599785507e-14
relative error = 1.150828167587504e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4818
Order of pole (three term test) = 22.37
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.56999999999984
y[1] (analytic) = 3.134185933769492
y[1] (numeric) = 3.134185933769527
absolute error = 3.597122599785507e-14
relative error = 1.14770555282891e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4791
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.57999999999984
y[1] (analytic) = 3.142576700784632
y[1] (numeric) = 3.142576700784668
absolute error = 3.597122599785507e-14
relative error = 1.144641147147621e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4761
Order of pole (three term test) = 22.35
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.58999999999984
y[1] (analytic) = 3.150853211081838
y[1] (numeric) = 3.150853211081874
absolute error = 3.641531520770513e-14
relative error = 1.155728711183027e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4729
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.59999999999984
y[1] (analytic) = 3.159014637016977
y[1] (numeric) = 3.159014637017013
absolute error = 3.641531520770513e-14
relative error = 1.152742845221247e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4696
Order of pole (three term test) = 22.33
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.60999999999984
y[1] (analytic) = 3.167060162454256
y[1] (numeric) = 3.167060162454293
absolute error = 3.68594044175552e-14
relative error = 1.163836571673828e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4661
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.619999999999839
y[1] (analytic) = 3.174988982847838
y[1] (numeric) = 3.174988982847875
absolute error = 3.68594044175552e-14
relative error = 1.160930151779418e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4624
Order of pole (three term test) = 22.31
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.629999999999839
y[1] (analytic) = 3.182800305322288
y[1] (numeric) = 3.182800305322325
absolute error = 3.730349362740526e-14
relative error = 1.172033745410488e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4585
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.639999999999839
y[1] (analytic) = 3.190493348751871
y[1] (numeric) = 3.190493348751908
absolute error = 3.730349362740526e-14
relative error = 1.169207691406048e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4544
Order of pole (three term test) = 22.29
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.649999999999839
y[1] (analytic) = 3.198067343838652
y[1] (numeric) = 3.198067343838689
absolute error = 3.730349362740526e-14
relative error = 1.166438652371521e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4501
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.659999999999838
y[1] (analytic) = 3.205521533189435
y[1] (numeric) = 3.205521533189473
absolute error = 3.730349362740526e-14
relative error = 1.163726190611141e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4457
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.669999999999838
y[1] (analytic) = 3.212855171391498
y[1] (numeric) = 3.212855171391535
absolute error = 3.730349362740526e-14
relative error = 1.161069878268089e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4411
Order of pole (three term test) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.679999999999838
y[1] (analytic) = 3.22006752508713
y[1] (numeric) = 3.220067525087168
absolute error = 3.774758283725532e-14
relative error = 1.172260598362263e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4363
Order of pole (three term test) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.689999999999838
y[1] (analytic) = 3.227157873046974
y[1] (numeric) = 3.227157873047012
absolute error = 3.819167204710538e-14
relative error = 1.183446039813543e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4313
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.699999999999838
y[1] (analytic) = 3.234125506242141
y[1] (numeric) = 3.234125506242179
absolute error = 3.819167204710538e-14
relative error = 1.180896411515019e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4261
Order of pole (three term test) = 22.24
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.709999999999837
y[1] (analytic) = 3.240969727915118
y[1] (numeric) = 3.240969727915156
absolute error = 3.819167204710538e-14
relative error = 1.178402615678663e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4208
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.719999999999837
y[1] (analytic) = 3.247689853649442
y[1] (numeric) = 3.24768985364948
absolute error = 3.819167204710538e-14
relative error = 1.175964262849461e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4153
Order of pole (three term test) = 22.22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.729999999999837
y[1] (analytic) = 3.254285211438139
y[1] (numeric) = 3.254285211438178
absolute error = 3.863576125695545e-14
relative error = 1.187227263337545e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4097
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.739999999999837
y[1] (analytic) = 3.260755141750926
y[1] (numeric) = 3.260755141750965
absolute error = 3.863576125695545e-14
relative error = 1.184871588861751e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.4039
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.749999999999837
y[1] (analytic) = 3.267098997600164
y[1] (numeric) = 3.267098997600203
absolute error = 3.863576125695545e-14
relative error = 1.182570876650362e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3979
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.759999999999836
y[1] (analytic) = 3.273316144605555
y[1] (numeric) = 3.273316144605593
absolute error = 3.863576125695545e-14
relative error = 1.180324770053984e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3918
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.769999999999836
y[1] (analytic) = 3.279405961057577
y[1] (numeric) = 3.279405961057616
absolute error = 3.907985046680551e-14
relative error = 1.191674679221557e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3855
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.779999999999836
y[1] (analytic) = 3.285367837979663
y[1] (numeric) = 3.285367837979702
absolute error = 3.863576125695545e-14
relative error = 1.175994992412007e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.379
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.789999999999836
y[1] (analytic) = 3.291201179189086
y[1] (numeric) = 3.291201179189125
absolute error = 3.907985046680551e-14
relative error = 1.187403878982394e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3724
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.799999999999836
y[1] (analytic) = 3.296905401356589
y[1] (numeric) = 3.296905401356628
absolute error = 3.907985046680551e-14
relative error = 1.185349462884959e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3657
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.809999999999835
y[1] (analytic) = 3.302479934064706
y[1] (numeric) = 3.302479934064745
absolute error = 3.907985046680551e-14
relative error = 1.183348612165703e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3588
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.819999999999835
y[1] (analytic) = 3.307924219864813
y[1] (numeric) = 3.307924219864852
absolute error = 3.907985046680551e-14
relative error = 1.181401019773138e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3518
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.829999999999835
y[1] (analytic) = 3.313237714332867
y[1] (numeric) = 3.313237714332907
absolute error = 3.952393967665557e-14
relative error = 1.192909868968272e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3446
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.839999999999835
y[1] (analytic) = 3.318419886123849
y[1] (numeric) = 3.318419886123888
absolute error = 3.952393967665557e-14
relative error = 1.191046975156069e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3373
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.849999999999834
y[1] (analytic) = 3.323470217024898
y[1] (numeric) = 3.323470217024938
absolute error = 3.996802888650564e-14
relative error = 1.202599279565207e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3298
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.859999999999834
y[1] (analytic) = 3.328388202007132
y[1] (numeric) = 3.328388202007172
absolute error = 3.996802888650564e-14
relative error = 1.200822333837247e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3222
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.869999999999834
y[1] (analytic) = 3.333173349276153
y[1] (numeric) = 3.333173349276193
absolute error = 3.952393967665557e-14
relative error = 1.185775101833175e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3145
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.879999999999834
y[1] (analytic) = 3.33782518032122
y[1] (numeric) = 3.33782518032126
absolute error = 3.996802888650564e-14
relative error = 1.197427268574302e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.3067
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.889999999999834
y[1] (analytic) = 3.342343229963106
y[1] (numeric) = 3.342343229963145
absolute error = 3.996802888650564e-14
relative error = 1.195808632943626e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2987
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.899999999999833
y[1] (analytic) = 3.34672704640061
y[1] (numeric) = 3.34672704640065
absolute error = 4.04121180963557e-14
relative error = 1.207511623626993e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2907
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.909999999999833
y[1] (analytic) = 3.350976191255744
y[1] (numeric) = 3.350976191255784
absolute error = 3.996802888650564e-14
relative error = 1.192727927784173e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2825
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.919999999999833
y[1] (analytic) = 3.355090239617561
y[1] (numeric) = 3.355090239617601
absolute error = 3.996802888650564e-14
relative error = 1.191265391748792e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2742
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.929999999999833
y[1] (analytic) = 3.359068780084656
y[1] (numeric) = 3.359068780084696
absolute error = 3.996802888650564e-14
relative error = 1.189854435951691e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2657
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.939999999999833
y[1] (analytic) = 3.362911414806294
y[1] (numeric) = 3.362911414806335
absolute error = 4.085620730620576e-14
relative error = 1.214905843975646e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2572
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.949999999999832
y[1] (analytic) = 3.366617759522208
y[1] (numeric) = 3.366617759522249
absolute error = 4.085620730620576e-14
relative error = 1.213568341420622e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2486
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.959999999999832
y[1] (analytic) = 3.370187443601015
y[1] (numeric) = 3.370187443601055
absolute error = 4.04121180963557e-14
relative error = 1.199105948041148e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2399
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.969999999999832
y[1] (analytic) = 3.37362011007728
y[1] (numeric) = 3.373620110077321
absolute error = 4.04121180963557e-14
relative error = 1.19788585489046e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.231
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.979999999999832
y[1] (analytic) = 3.376915415687217
y[1] (numeric) = 3.376915415687258
absolute error = 4.085620730620576e-14
relative error = 1.209867653670305e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2221
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.989999999999831
y[1] (analytic) = 3.380073030903012
y[1] (numeric) = 3.380073030903052
absolute error = 4.085620730620576e-14
relative error = 1.208737412850832e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2131
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.999999999999831
y[1] (analytic) = 3.383092639965772
y[1] (numeric) = 3.383092639965813
absolute error = 4.085620730620576e-14
relative error = 1.207658543651915e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.204
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
Finished!
diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ;
Iterations = 1001
Total Elapsed Time = 0.0 Seconds
Elapsed Time(since restart) = 0.0 Seconds
Time to Timeout = 30 Minutes 0.0 Seconds
Percent Done = 100.2 %