##############ECHO OF PROBLEM#################
##############temp/lin_sin_cospostode.ode#################
diff ( y , x , 1 ) = sin ( 2.0 * x + 3.0 ) + cos ( 1.5 * x - 2.0 ) ;
!
/* BEGIN FIRST INPUT BLOCK */
Digits=32;
max_terms=30;
!
/* END FIRST INPUT BLOCK */
/* BEGIN SECOND INPUT BLOCK */
x_start=0.1;
x_end=5.0;
array_y_init[0 + 1] = exact_soln_y(x_start);
glob_look_poles=true;
glob_max_iter=1000000;
/* 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(-cos(2.0*x + 3.0)/2.0 + sin(1.5*x -2.0)/1.5);
}
/* 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 = 4.9
estimated_steps = 4900000.000000001
step_error = 2.040816326530612e-17
est_needed_step_err = 2.040816326530612e-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 = 8.299937886655786e-176
estimated_step_error = 8.299937886655786e-176
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 = 5.569994016336442e-168
estimated_step_error = 5.569994016336442e-168
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 = 3.737959692985801e-160
estimated_step_error = 3.737959692985801e-160
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 = 2.508502264936159e-152
estimated_step_error = 2.508502264936159e-152
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 = 1.683427344147208e-144
estimated_step_error = 1.683427344147208e-144
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 = 1.129728927642204e-136
estimated_step_error = 1.129728927642204e-136
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 = 7.581481968973216e-129
estimated_step_error = 7.581481968973216e-129
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 = 5.08784571606871e-121
estimated_step_error = 5.08784571606871e-121
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 = 3.414394512191318e-113
estimated_step_error = 3.414394512191318e-113
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 = 2.291360094330637e-105
estimated_step_error = 2.291360094330637e-105
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 = 1.537704017003666e-97
estimated_step_error = 1.537704017003666e-97
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 = 1.031933396933144e-89
estimated_step_error = 1.031933396933144e-89
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 = 6.925156863936323e-82
estimated_step_error = 6.925156863936323e-82
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 = 4.647352426269499e-74
estimated_step_error = 4.647352426269499e-74
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 = 3.118729068267302e-66
estimated_step_error = 3.118729068267302e-66
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 = 2.092866900827221e-58
estimated_step_error = 2.092866900827221e-58
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 = 1.40439319991321e-50
estimated_step_error = 1.40439319991321e-50
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 = 9.423220171866362e-43
estimated_step_error = 9.423220171866362e-43
best_h = 0.1
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = -0.1417027474194901
y[1] (numeric) = -0.1417027474194901
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 = 0.02942
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = -0.1450699809230483
y[1] (numeric) = -0.1450699809230483
absolute error = 5.551115123125783e-17
relative error = 3.826508480807167e-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 = 0.03932
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = -0.1484918009250557
y[1] (numeric) = -0.1484918009250558
absolute error = 1.110223024625157e-16
relative error = 7.476662130224214e-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 = 0.04916
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = -0.1519672830296706
y[1] (numeric) = -0.1519672830296706
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 = 0.05893
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = -0.1554954559396129
y[1] (numeric) = -0.1554954559396129
absolute error = 2.775557561562891e-17
relative error = 1.784976637928755e-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 = 0.06859
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = -0.1590753017504311
y[1] (numeric) = -0.159075301750431
absolute error = 2.775557561562891e-17
relative error = 1.744807352883346e-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 = 0.07815
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = -0.1627057562691551
y[1] (numeric) = -0.162705756269155
absolute error = 2.775557561562891e-17
relative error = 1.705875455918991e-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 = 0.08758
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = -0.1663857093572294
y[1] (numeric) = -0.1663857093572294
absolute error = 2.775557561562891e-17
relative error = 1.668146604828772e-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 = 0.09688
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = -0.170114005297606
y[1] (numeric) = -0.170114005297606
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 = 0.106
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.1900000000000001
y[1] (analytic) = -0.1738894431858689
y[1] (numeric) = -0.1738894431858688
absolute error = 5.551115123125783e-17
relative error = 3.192324399585457e-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 = 0.115
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2000000000000001
y[1] (analytic) = -0.1777107773452486
y[1] (numeric) = -0.1777107773452485
absolute error = 1.110223024625157e-16
relative error = 6.247359002140114e-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 = 0.1238
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2100000000000001
y[1] (analytic) = -0.1815767177653774
y[1] (numeric) = -0.1815767177653773
absolute error = 1.110223024625157e-16
relative error = 6.114346807720802e-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 = 0.1323
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2200000000000001
y[1] (analytic) = -0.1854859305646204
y[1] (numeric) = -0.1854859305646202
absolute error = 1.665334536937735e-16
relative error = 8.978225636135559e-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 = 0.1407
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2300000000000001
y[1] (analytic) = -0.1894370384758114
y[1] (numeric) = -0.1894370384758114
absolute error = 2.775557561562891e-17
relative error = 1.465160975854937e-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 = 0.1489
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2400000000000001
y[1] (analytic) = -0.1934286213552113
y[1] (numeric) = -0.1934286213552112
absolute error = 8.326672684688674e-17
relative error = 4.304777972540898e-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 = 0.1568
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2500000000000001
y[1] (analytic) = -0.1974592167144896
y[1] (numeric) = -0.1974592167144895
absolute error = 5.551115123125783e-17
relative error = 2.81127172258171e-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 = 0.1644
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2600000000000001
y[1] (analytic) = -0.2015273202755321
y[1] (numeric) = -0.201527320275532
absolute error = 8.326672684688674e-17
relative error = 4.131783558330594e-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) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2700000000000001
y[1] (analytic) = -0.2056313865478526
y[1] (numeric) = -0.2056313865478526
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 = 0.1789
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2800000000000001
y[1] (analytic) = -0.2097698294283878
y[1] (numeric) = -0.2097698294283876
absolute error = 1.942890293094024e-16
relative error = 9.262010167945988e-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 = 0.1858
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2900000000000001
y[1] (analytic) = -0.2139410228234359
y[1] (numeric) = -0.2139410228234359
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 = 0.1923
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3000000000000002
y[1] (analytic) = -0.218143301292498
y[1] (numeric) = -0.2181433012924978
absolute error = 1.942890293094024e-16
relative error = 8.906486156496251e-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 = 0.1985
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3100000000000002
y[1] (analytic) = -0.2223749607137592
y[1] (numeric) = -0.2223749607137592
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 = 0.2045
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3200000000000002
y[1] (analytic) = -0.2266342589709517
y[1] (numeric) = -0.2266342589709517
absolute error = 8.326672684688674e-17
relative error = 3.674057365597107e-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 = 0.21
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3300000000000002
y[1] (analytic) = -0.2309194166613155
y[1] (numeric) = -0.2309194166613155
absolute error = 5.551115123125783e-17
relative error = 2.403918736408157e-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 = 0.2153
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3400000000000002
y[1] (analytic) = -0.2352286178243783
y[1] (numeric) = -0.2352286178243781
absolute error = 1.942890293094024e-16
relative error = 8.259583000842977e-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 = 0.2202
Order of pole (three term test) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3500000000000002
y[1] (analytic) = -0.2395600106912533
y[1] (numeric) = -0.2395600106912532
absolute error = 2.775557561562891e-17
relative error = 1.158606377397457e-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 = 0.2247
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3600000000000002
y[1] (analytic) = -0.2439117084541567
y[1] (numeric) = -0.2439117084541565
absolute error = 1.942890293094024e-16
relative error = 7.965547473745775e-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 = 0.2289
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3700000000000002
y[1] (analytic) = -0.2482817900558217
y[1] (numeric) = -0.2482817900558217
absolute error = 5.551115123125783e-17
relative error = 2.235812429851466e-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 = 0.2327
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3800000000000002
y[1] (analytic) = -0.2526683009984959
y[1] (numeric) = -0.2526683009984957
absolute error = 1.665334536937735e-16
relative error = 6.590991154634979e-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 = 0.2362
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3900000000000002
y[1] (analytic) = -0.2570692541721781
y[1] (numeric) = -0.2570692541721781
absolute error = 5.551115123125783e-17
relative error = 2.159385081269888e-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 = 0.2392
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4000000000000002
y[1] (analytic) = -0.2614826307017653
y[1] (numeric) = -0.2614826307017651
absolute error = 1.110223024625157e-16
relative error = 4.245876759177265e-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 = 0.2419
Order of pole (three term test) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4100000000000003
y[1] (analytic) = -0.2659063808127456
y[1] (numeric) = -0.2659063808127456
absolute error = 5.551115123125783e-17
relative error = 2.087620126361293e-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 = 0.2442
Order of pole (three term test) = 22.39
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4200000000000003
y[1] (analytic) = -0.270338424715091
y[1] (numeric) = -0.2703384247150909
absolute error = 1.110223024625157e-16
relative error = 4.10678957604794e-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 = 0.2461
Order of pole (three term test) = 22.41
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4300000000000003
y[1] (analytic) = -0.2747766535049705
y[1] (numeric) = -0.2747766535049706
absolute error = 5.551115123125783e-17
relative error = 2.0202280842704e-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 = 0.2477
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4400000000000003
y[1] (analytic) = -0.2792189300839172
y[1] (numeric) = -0.2792189300839171
absolute error = 1.110223024625157e-16
relative error = 3.976173908737088e-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 = 0.2488
Order of pole (three term test) = 22.45
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4500000000000003
y[1] (analytic) = -0.2836630900950547
y[1] (numeric) = -0.2836630900950547
absolute error = 5.551115123125783e-17
relative error = 1.956939523314655e-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 = 0.2495
Order of pole (three term test) = 22.47
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4600000000000003
y[1] (analytic) = -0.2881069428760011
y[1] (numeric) = -0.288106942876001
absolute error = 1.110223024625157e-16
relative error = 3.853510136001781e-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 = 0.2498
Order of pole (three term test) = 22.49
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4700000000000003
y[1] (analytic) = -0.2925482724280384
y[1] (numeric) = -0.2925482724280384
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 = 0.2497
Order of pole (three term test) = 22.51
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4800000000000003
y[1] (analytic) = -0.2969848384011488
y[1] (numeric) = -0.2969848384011486
absolute error = 1.110223024625157e-16
relative error = 3.738315499882643e-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 = 0.2492
Order of pole (three term test) = 22.53
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4900000000000003
y[1] (analytic) = -0.3014143770944936
y[1] (numeric) = -0.3014143770944936
absolute error = 5.551115123125783e-17
relative error = 1.841688899061873e-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 = 0.2484
Order of pole (three term test) = 22.55
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5000000000000003
y[1] (analytic) = -0.3058346024719185
y[1] (numeric) = -0.3058346024719183
absolute error = 1.110223024625157e-16
relative error = 3.630141964485842e-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 = 0.2471
Order of pole (three term test) = 22.57
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5100000000000003
y[1] (analytic) = -0.3102432071920455
y[1] (numeric) = -0.3102432071920456
absolute error = 1.110223024625157e-16
relative error = 3.578557076796562e-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 = 0.2454
Order of pole (three term test) = 22.59
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5200000000000004
y[1] (analytic) = -0.3146378636525246
y[1] (numeric) = -0.3146378636525245
absolute error = 5.551115123125783e-17
relative error = 1.764287062810802e-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 = 0.2433
Order of pole (three term test) = 22.61
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5300000000000004
y[1] (analytic) = -0.319016225047987
y[1] (numeric) = -0.3190162250479871
absolute error = 1.110223024625157e-16
relative error = 3.480145953260386e-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 = 0.2409
Order of pole (three term test) = 22.63
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5400000000000004
y[1] (analytic) = -0.3233759264412623
y[1] (numeric) = -0.3233759264412622
absolute error = 5.551115123125783e-17
relative error = 1.716613597126898e-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 = 0.238
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5500000000000004
y[1] (analytic) = -0.3277145858473877
y[1] (numeric) = -0.3277145858473877
absolute error = 5.551115123125783e-17
relative error = 1.693887108738841e-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 = 0.2348
Order of pole (three term test) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5600000000000004
y[1] (analytic) = -0.3320298053299565
y[1] (numeric) = -0.3320298053299564
absolute error = 1.665334536937735e-16
relative error = 5.01561760481954e-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 = 0.2312
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5700000000000004
y[1] (analytic) = -0.3363191721093251
y[1] (numeric) = -0.3363191721093252
absolute error = 1.110223024625157e-16
relative error = 3.301099421903499e-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 = 0.2272
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5800000000000004
y[1] (analytic) = -0.3405802596822111
y[1] (numeric) = -0.3405802596822109
absolute error = 1.665334536937735e-16
relative error = 4.889697771948458e-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 = 0.2229
Order of pole (three term test) = 22.73
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5900000000000004
y[1] (analytic) = -0.3448106289521887
y[1] (numeric) = -0.3448106289521887
absolute error = 5.551115123125783e-17
relative error = 1.609902554336717e-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 = 0.2182
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6000000000000004
y[1] (analytic) = -0.3490078293706074
y[1] (numeric) = -0.3490078293706073
absolute error = 1.110223024625157e-16
relative error = 3.181083434796598e-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 = 0.2132
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6100000000000004
y[1] (analytic) = -0.3531694000874246
y[1] (numeric) = -0.3531694000874247
absolute error = 5.551115123125783e-17
relative error = 1.571799573165637e-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 = 0.2078
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6200000000000004
y[1] (analytic) = -0.3572928711114689
y[1] (numeric) = -0.3572928711114687
absolute error = 1.665334536937735e-16
relative error = 4.660978909982731e-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 = 0.2021
Order of pole (three term test) = 22.79
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6300000000000004
y[1] (analytic) = -0.3613757644796157
y[1] (numeric) = -0.3613757644796157
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 = 0.196
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6400000000000005
y[1] (analytic) = -0.3654155954343814
y[1] (numeric) = -0.3654155954343811
absolute error = 2.775557561562891e-16
relative error = 7.595618786503887e-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 = 0.1897
Order of pole (three term test) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6500000000000005
y[1] (analytic) = -0.369409873609408
y[1] (numeric) = -0.369409873609408
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 = 0.183
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6600000000000005
y[1] (analytic) = -0.3733561042223368
y[1] (numeric) = -0.3733561042223366
absolute error = 2.220446049250313e-16
relative error = 5.94726060224803e-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 = 0.1761
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6700000000000005
y[1] (analytic) = -0.377251789274533
y[1] (numeric) = -0.3772517892745329
absolute error = 5.551115123125783e-17
relative error = 1.471461575782252e-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 = 0.1688
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6800000000000005
y[1] (analytic) = -0.3810944287571522
y[1] (numeric) = -0.381094428757152
absolute error = 1.665334536937735e-16
relative error = 4.369873740660085e-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 = 0.1613
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6900000000000005
y[1] (analytic) = -0.3848815218630062
y[1] (numeric) = -0.3848815218630062
absolute error = 5.551115123125783e-17
relative error = 1.442291928242175e-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 = 0.1536
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7000000000000005
y[1] (analytic) = -0.3886105682037062
y[1] (numeric) = -0.388610568203706
absolute error = 1.665334536937735e-16
relative error = 4.285355760229303e-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 = 0.1456
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7100000000000005
y[1] (analytic) = -0.3922790690315386
y[1] (numeric) = -0.3922790690315386
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 = 0.1373
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7200000000000005
y[1] (analytic) = -0.3958845284655446
y[1] (numeric) = -0.3958845284655443
absolute error = 2.220446049250313e-16
relative error = 5.608822496440569e-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 = 0.1289
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7300000000000005
y[1] (analytic) = -0.3994244547212508
y[1] (numeric) = -0.3994244547212508
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 = 0.1202
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7400000000000005
y[1] (analytic) = -0.40289636134352
y[1] (numeric) = -0.4028963613435197
absolute error = 2.775557561562891e-16
relative error = 6.889011239285872e-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 = 0.1113
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7500000000000006
y[1] (analytic) = -0.4062977684419616
y[1] (numeric) = -0.4062977684419615
absolute error = 5.551115123125783e-17
relative error = 1.366267686975677e-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 = 0.1023
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7600000000000006
y[1] (analytic) = -0.4096262039283677
y[1] (numeric) = -0.4096262039283674
absolute error = 2.775557561562891e-16
relative error = 6.775830098135664e-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 = 0.09311
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7700000000000006
y[1] (analytic) = -0.4128792047556107
y[1] (numeric) = -0.4128792047556106
absolute error = 5.551115123125783e-17
relative error = 1.344488910845381e-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 = 0.08376
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7800000000000006
y[1] (analytic) = -0.4160543181574645
y[1] (numeric) = -0.4160543181574642
absolute error = 2.775557561562891e-16
relative error = 6.671142301454069e-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 = 0.07427
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7900000000000006
y[1] (analytic) = -0.4191491028887819
y[1] (numeric) = -0.4191491028887819
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 = 0.06467
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8000000000000006
y[1] (analytic) = -0.4221611304654882
y[1] (numeric) = -0.4221611304654879
absolute error = 2.775557561562891e-16
relative error = 6.574640252887502e-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 = 0.05496
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8100000000000006
y[1] (analytic) = -0.4250879864038214
y[1] (numeric) = -0.4250879864038214
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 = 0.04516
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8200000000000006
y[1] (analytic) = -0.4279272714582777
y[1] (numeric) = -0.4279272714582774
absolute error = 3.33066907387547e-16
relative error = 7.783259670563447e-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 = 0.03529
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8300000000000006
y[1] (analytic) = -0.4306766028576903
y[1] (numeric) = -0.4306766028576902
absolute error = 5.551115123125783e-17
relative error = 1.288928882203534e-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 = 0.02537
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8400000000000006
y[1] (analytic) = -0.4333336155389015
y[1] (numeric) = -0.4333336155389011
absolute error = 3.885780586188048e-16
relative error = 8.967180128307427e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8500000000000006
y[1] (analytic) = -0.4358959633774544
y[1] (numeric) = -0.4358959633774543
absolute error = 5.551115123125783e-17
relative error = 1.273495418520065e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8600000000000007
y[1] (analytic) = -0.4383613204147655
y[1] (numeric) = -0.4383613204147651
absolute error = 3.885780586188048e-16
relative error = 8.864332698221249e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8700000000000007
y[1] (analytic) = -0.4407273820812036
y[1] (numeric) = -0.4407273820812035
absolute error = 5.551115123125783e-17
relative error = 1.259534884561131e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8800000000000007
y[1] (analytic) = -0.44299186641454
y[1] (numeric) = -0.4429918664145396
absolute error = 4.440892098500626e-16
relative error = 1.002477118698373e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02455
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8900000000000007
y[1] (analytic) = -0.4451525152731952
y[1] (numeric) = -0.4451525152731951
absolute error = 1.110223024625157e-16
relative error = 2.494028420672407e-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 = 0.03448
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9000000000000007
y[1] (analytic) = -0.4472070955437499
y[1] (numeric) = -0.4472070955437495
absolute error = 3.885780586188048e-16
relative error = 8.688995825219202e-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 = 0.04435
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9100000000000007
y[1] (analytic) = -0.4491534003421486
y[1] (numeric) = -0.4491534003421485
absolute error = 1.110223024625157e-16
relative error = 2.471812578463014e-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 = 0.05416
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9200000000000007
y[1] (analytic) = -0.4509892502080651
y[1] (numeric) = -0.4509892502080647
absolute error = 3.885780586188048e-16
relative error = 8.616126846472132e-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 = 0.06387
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9300000000000007
y[1] (analytic) = -0.4527124942918647
y[1] (numeric) = -0.4527124942918646
absolute error = 1.110223024625157e-16
relative error = 2.452379906946843e-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 = 0.07349
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9400000000000007
y[1] (analytic) = -0.4543210115336336
y[1] (numeric) = -0.4543210115336332
absolute error = 3.885780586188048e-16
relative error = 8.552940514617563e-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 = 0.08299
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9500000000000007
y[1] (analytic) = -0.4558127118337161
y[1] (numeric) = -0.4558127118337159
absolute error = 1.665334536937735e-16
relative error = 3.653550007936728e-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 = 0.09235
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9600000000000007
y[1] (analytic) = -0.457185537214235
y[1] (numeric) = -0.4571855372142346
absolute error = 4.440892098500626e-16
relative error = 9.713544583147311e-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 = 0.1016
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9700000000000008
y[1] (analytic) = -0.4584374629710423
y[1] (numeric) = -0.4584374629710421
absolute error = 1.665334536937735e-16
relative error = 3.632631866830935e-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 = 0.1106
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9800000000000008
y[1] (analytic) = -0.4595664988155791
y[1] (numeric) = -0.4595664988155787
absolute error = 4.440892098500626e-16
relative error = 9.663219816818558e-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 = 0.1195
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9900000000000008
y[1] (analytic) = -0.4605706900061001
y[1] (numeric) = -0.4605706900060999
absolute error = 1.665334536937735e-16
relative error = 3.615806591851683e-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 = 0.1282
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.000000000000001
y[1] (analytic) = -0.4614481184677488
y[1] (numeric) = -0.4614481184677482
absolute error = 5.551115123125783e-16
relative error = 1.20297708473889e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1367
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.010000000000001
y[1] (analytic) = -0.4621969039009438
y[1] (numeric) = -0.4621969039009436
absolute error = 2.220446049250313e-16
relative error = 4.80411277208856e-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 = 0.1449
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.020000000000001
y[1] (analytic) = -0.4628152048775728
y[1] (numeric) = -0.4628152048775729
absolute error = 5.551115123125783e-17
relative error = 1.199423671612994e-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 = 0.153
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.030000000000001
y[1] (analytic) = -0.4633012199244637
y[1] (numeric) = -0.4633012199244634
absolute error = 2.220446049250313e-16
relative error = 4.792661779764649e-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 = 0.1608
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.040000000000001
y[1] (analytic) = -0.4636531885936281
y[1] (numeric) = -0.4636531885936276
absolute error = 4.996003610813204e-16
relative error = 1.077530303623553e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1683
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.050000000000001
y[1] (analytic) = -0.4638693925187735
y[1] (numeric) = -0.4638693925187732
absolute error = 2.775557561562891e-16
relative error = 5.983489331968719e-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 = 0.1755
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.060000000000001
y[1] (analytic) = -0.4639481564575761
y[1] (numeric) = -0.4639481564575761
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 = 0.1825
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.070000000000001
y[1] (analytic) = -0.463887849319221
y[1] (numeric) = -0.4638878493192208
absolute error = 2.220446049250313e-16
relative error = 4.786601012526908e-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 = 0.1892
Order of pole (three term test) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.080000000000001
y[1] (analytic) = -0.4636868851767146
y[1] (numeric) = -0.4636868851767141
absolute error = 4.996003610813204e-16
relative error = 1.07745199843407e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1956
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.090000000000001
y[1] (analytic) = -0.4633437242634905
y[1] (numeric) = -0.4633437242634901
absolute error = 3.33066907387547e-16
relative error = 7.188333195123654e-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 = 0.2017
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.100000000000001
y[1] (analytic) = -0.4628568739538224
y[1] (numeric) = -0.4628568739538224
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 = 0.2074
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.110000000000001
y[1] (analytic) = -0.4622248897265722
y[1] (numeric) = -0.4622248897265719
absolute error = 3.33066907387547e-16
relative error = 7.205732854078275e-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 = 0.2128
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.120000000000001
y[1] (analytic) = -0.4614463761118024
y[1] (numeric) = -0.4614463761118018
absolute error = 6.106226635438361e-16
relative error = 1.323279789710366e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2179
Order of pole (three term test) = 22.75
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.130000000000001
y[1] (analytic) = -0.4605199876197974
y[1] (numeric) = -0.4605199876197971
absolute error = 3.33066907387547e-16
relative error = 7.232409370742124e-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 = 0.2226
Order of pole (three term test) = 22.73
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.140000000000001
y[1] (analytic) = -0.4594444296520347
y[1] (numeric) = -0.4594444296520346
absolute error = 5.551115123125783e-17
relative error = 1.208223403063126e-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 = 0.227
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.150000000000001
y[1] (analytic) = -0.4582184593936556
y[1] (numeric) = -0.4582184593936552
absolute error = 3.33066907387547e-16
relative error = 7.268736135778614e-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 = 0.231
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.160000000000001
y[1] (analytic) = -0.4568408866869968
y[1] (numeric) = -0.4568408866869963
absolute error = 5.551115123125783e-16
relative error = 1.215109086093932e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2347
Order of pole (three term test) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.170000000000001
y[1] (analytic) = -0.4553105748857512
y[1] (numeric) = -0.4553105748857509
absolute error = 3.33066907387547e-16
relative error = 7.315158613900451e-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 = 0.2379
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.180000000000001
y[1] (analytic) = -0.453626441689327
y[1] (numeric) = -0.4536264416893269
absolute error = 5.551115123125783e-17
relative error = 1.223719477738811e-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 = 0.2408
Order of pole (three term test) = 22.63
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.190000000000001
y[1] (analytic) = -0.4517874599569874
y[1] (numeric) = -0.451787459956987
absolute error = 3.33066907387547e-16
relative error = 7.37220345644956e-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 = 0.2433
Order of pole (three term test) = 22.62
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.200000000000001
y[1] (analytic) = -0.4497926585013581
y[1] (numeric) = -0.4497926585013575
absolute error = 6.106226635438361e-16
relative error = 1.357564762347032e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2454
Order of pole (three term test) = 22.6
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.210000000000001
y[1] (analytic) = -0.4476411228609031
y[1] (numeric) = -0.4476411228609029
absolute error = 2.775557561562891e-16
relative error = 6.200407915662719e-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 = 0.2471
Order of pole (three term test) = 22.58
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.220000000000001
y[1] (analytic) = -0.4453319960509715
y[1] (numeric) = -0.4453319960509714
absolute error = 1.110223024625157e-16
relative error = 2.493023260107462e-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 = 0.2484
Order of pole (three term test) = 22.56
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.230000000000001
y[1] (analytic) = -0.442864479293024
y[1] (numeric) = -0.4428644792930236
absolute error = 3.885780586188048e-16
relative error = 8.774197904494836e-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 = 0.2494
Order of pole (three term test) = 22.54
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.240000000000001
y[1] (analytic) = -0.4402378327216656
y[1] (numeric) = -0.4402378327216651
absolute error = 5.551115123125783e-16
relative error = 1.26093550134193e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2499
Order of pole (three term test) = 22.52
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.250000000000001
y[1] (analytic) = -0.4374513760691149
y[1] (numeric) = -0.4374513760691146
absolute error = 3.33066907387547e-16
relative error = 7.61380408447782e-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 = 0.25
Order of pole (three term test) = 22.5
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.260000000000001
y[1] (analytic) = -0.4345044893267453
y[1] (numeric) = -0.4345044893267452
absolute error = 1.110223024625157e-16
relative error = 2.555147419409685e-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 = 0.2497
Order of pole (three term test) = 22.48
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.270000000000001
y[1] (analytic) = -0.4313966133833475
y[1] (numeric) = -0.4313966133833472
absolute error = 2.775557561562891e-16
relative error = 6.433888156410899e-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 = 0.2491
Order of pole (three term test) = 22.46
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.280000000000001
y[1] (analytic) = -0.4281272506397688
y[1] (numeric) = -0.4281272506397683
absolute error = 4.996003610813204e-16
relative error = 1.16694361392494e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.248
Order of pole (three term test) = 22.44
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.290000000000001
y[1] (analytic) = -0.4246959655995989
y[1] (numeric) = -0.4246959655995987
absolute error = 2.220446049250313e-16
relative error = 5.228319148535867e-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 = 0.2465
Order of pole (three term test) = 22.42
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.300000000000001
y[1] (analytic) = -0.4211023854355765
y[1] (numeric) = -0.4211023854355765
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 = 0.2447
Order of pole (three term test) = 22.4
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.310000000000001
y[1] (analytic) = -0.4173462005313976
y[1] (numeric) = -0.4173462005313973
absolute error = 2.775557561562891e-16
relative error = 6.650491984900871e-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 = 0.2424
Order of pole (three term test) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.320000000000001
y[1] (analytic) = -0.4134271649986249
y[1] (numeric) = -0.4134271649986244
absolute error = 4.440892098500626e-16
relative error = 1.074165530103809e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2398
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.330000000000001
y[1] (analytic) = -0.4093450971684041
y[1] (numeric) = -0.4093450971684039
absolute error = 2.220446049250313e-16
relative error = 5.424386574091112e-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 = 0.2367
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.340000000000001
y[1] (analytic) = -0.4050998800576993
y[1] (numeric) = -0.4050998800576993
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 = 0.2333
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.350000000000001
y[1] (analytic) = -0.4006914618097713
y[1] (numeric) = -0.400691461809771
absolute error = 3.33066907387547e-16
relative error = 8.312303583490651e-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 = 0.2295
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.360000000000001
y[1] (analytic) = -0.3961198561086355
y[1] (numeric) = -0.3961198561086351
absolute error = 3.885780586188048e-16
relative error = 9.80960819374421e-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 = 0.2254
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.370000000000001
y[1] (analytic) = -0.3913851425672486
y[1] (numeric) = -0.3913851425672484
absolute error = 1.665334536937735e-16
relative error = 4.254976379568608e-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 = 0.2209
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.380000000000001
y[1] (analytic) = -0.386487467089175
y[1] (numeric) = -0.386487467089175
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 = 0.216
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.390000000000001
y[1] (analytic) = -0.3814270422035005
y[1] (numeric) = -0.3814270422035004
absolute error = 5.551115123125783e-17
relative error = 1.45535436896583e-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 = 0.2108
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.400000000000001
y[1] (analytic) = -0.3762041473727737
y[1] (numeric) = -0.3762041473727734
absolute error = 3.33066907387547e-16
relative error = 8.853355544151329e-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 = 0.2053
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.410000000000001
y[1] (analytic) = -0.3708191292737605
y[1] (numeric) = -0.3708191292737604
absolute error = 1.665334536937735e-16
relative error = 4.490961780206023e-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 = 0.1994
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.420000000000001
y[1] (analytic) = -0.3652724020508155
y[1] (numeric) = -0.3652724020508155
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 = 0.1932
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.430000000000001
y[1] (analytic) = -0.3595644475416734
y[1] (numeric) = -0.3595644475416732
absolute error = 2.775557561562891e-16
relative error = 7.719221353888735e-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 = 0.1867
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.440000000000001
y[1] (analytic) = -0.3536958154754885
y[1] (numeric) = -0.3536958154754881
absolute error = 3.33066907387547e-16
relative error = 9.416761319038814e-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 = 0.1799
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.450000000000001
y[1] (analytic) = -0.3476671236429533
y[1] (numeric) = -0.3476671236429531
absolute error = 1.665334536937735e-16
relative error = 4.790025929078062e-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 = 0.1728
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.460000000000001
y[1] (analytic) = -0.3414790580383399
y[1] (numeric) = -0.3414790580383399
absolute error = 5.551115123125783e-17
relative error = 1.625609240875476e-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 = 0.1655
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.470000000000001
y[1] (analytic) = -0.3351323729733193
y[1] (numeric) = -0.3351323729733193
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 = 0.1578
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.480000000000001
y[1] (analytic) = -0.3286278911624261
y[1] (numeric) = -0.3286278911624259
absolute error = 2.220446049250313e-16
relative error = 6.756718187845005e-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 = 0.1499
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.490000000000001
y[1] (analytic) = -0.3219665037800484
y[1] (numeric) = -0.3219665037800483
absolute error = 1.110223024625157e-16
relative error = 3.448256298685052e-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 = 0.1418
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.500000000000001
y[1] (analytic) = -0.3151491704888335
y[1] (numeric) = -0.3151491704888335
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 = 0.1335
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.510000000000001
y[1] (analytic) = -0.3081769194394086
y[1] (numeric) = -0.3081769194394084
absolute error = 2.220446049250313e-16
relative error = 7.205101710048342e-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 = 0.1249
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.520000000000001
y[1] (analytic) = -0.3010508472413315
y[1] (numeric) = -0.3010508472413312
absolute error = 2.220446049250313e-16
relative error = 7.375651221703211e-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 = 0.1162
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.530000000000001
y[1] (analytic) = -0.2937721189052004
y[1] (numeric) = -0.2937721189052003
absolute error = 5.551115123125783e-17
relative error = 1.889599034725659e-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 = 0.1072
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.540000000000001
y[1] (analytic) = -0.2863419677558556
y[1] (numeric) = -0.2863419677558556
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 = 0.09809
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.550000000000001
y[1] (analytic) = -0.278761695316624
y[1] (numeric) = -0.2787616953166241
absolute error = 1.110223024625157e-16
relative error = 3.982695769460505e-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 = 0.08882
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.560000000000001
y[1] (analytic) = -0.271032671164569
y[1] (numeric) = -0.2710326711645689
absolute error = 1.110223024625157e-16
relative error = 4.09627009118409e-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 = 0.0794
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.570000000000001
y[1] (analytic) = -0.2631563327567169
y[1] (numeric) = -0.2631563327567169
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 = 0.06985
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.580000000000001
y[1] (analytic) = -0.2551341852272494
y[1] (numeric) = -0.2551341852272495
absolute error = 5.551115123125783e-17
relative error = 2.175762968879053e-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 = 0.0602
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.590000000000001
y[1] (analytic) = -0.2469678011556532
y[1] (numeric) = -0.2469678011556531
absolute error = 1.387778780781446e-16
relative error = 5.619270100343115e-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 = 0.05045
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.600000000000001
y[1] (analytic) = -0.2386588203058408
y[1] (numeric) = -0.2386588203058408
absolute error = 8.326672684688674e-17
relative error = 3.488944039033654e-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 = 0.04061
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.610000000000001
y[1] (analytic) = -0.2302089493362646
y[1] (numeric) = -0.2302089493362646
absolute error = 5.551115123125783e-17
relative error = 2.411337673505172e-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 = 0.03072
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.620000000000001
y[1] (analytic) = -0.2216199614810535
y[1] (numeric) = -0.2216199614810536
absolute error = 8.326672684688674e-17
relative error = 3.757185331611263e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.630000000000001
y[1] (analytic) = -0.2128936962022218
y[1] (numeric) = -0.212893696202222
absolute error = 1.665334536937735e-16
relative error = 7.82237598691452e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.640000000000001
y[1] (analytic) = -0.2040320588130067
y[1] (numeric) = -0.2040320588130067
absolute error = 2.775557561562891e-17
relative error = 1.360353651141981e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.650000000000001
y[1] (analytic) = -0.1950370200724028
y[1] (numeric) = -0.1950370200724028
absolute error = 8.326672684688674e-17
relative error = 4.2692780486482e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.660000000000001
y[1] (analytic) = -0.1859106157509796
y[1] (numeric) = -0.1859106157509798
absolute error = 1.665334536937735e-16
relative error = 8.957716213303219e-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 = 0.01919
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.670000000000001
y[1] (analytic) = -0.1766549461680716
y[1] (numeric) = -0.1766549461680716
absolute error = 5.551115123125783e-17
relative error = 3.142349106853982e-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 = 0.02914
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.680000000000001
y[1] (analytic) = -0.1672721757004479
y[1] (numeric) = -0.1672721757004479
absolute error = 2.775557561562891e-17
relative error = 1.65930618761926e-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 = 0.03904
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.690000000000001
y[1] (analytic) = -0.1577645322625834
y[1] (numeric) = -0.1577645322625834
absolute error = 8.326672684688674e-17
relative error = 5.277911686024433e-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 = 0.04889
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.700000000000001
y[1] (analytic) = -0.1481343067586556
y[1] (numeric) = -0.1481343067586557
absolute error = 1.665334536937735e-16
relative error = 1.124205846287142e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05865
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.710000000000001
y[1] (analytic) = -0.1383838525064135
y[1] (numeric) = -0.1383838525064137
absolute error = 2.220446049250313e-16
relative error = 1.604555740452019e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06832
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.720000000000001
y[1] (analytic) = -0.1285155846330703
y[1] (numeric) = -0.1285155846330704
absolute error = 1.110223024625157e-16
relative error = 8.638820169514818e-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 = 0.07788
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.730000000000001
y[1] (analytic) = -0.1185319794433862
y[1] (numeric) = -0.1185319794433864
absolute error = 1.249000902703301e-16
relative error = 1.053724833220941e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08732
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.740000000000001
y[1] (analytic) = -0.1084355737601198
y[1] (numeric) = -0.1084355737601199
absolute error = 1.249000902703301e-16
relative error = 1.151836855187698e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09661
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.750000000000001
y[1] (analytic) = -0.09822896423703575
y[1] (numeric) = -0.09822896423703578
absolute error = 2.775557561562891e-17
relative error = 2.825599947145131e-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 = 0.1058
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.760000000000001
y[1] (analytic) = -0.08791480664467055
y[1] (numeric) = -0.08791480664467072
absolute error = 1.665334536937735e-16
relative error = 1.894259454688442e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1147
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.770000000000001
y[1] (analytic) = -0.07749581512907067
y[1] (numeric) = -0.07749581512907086
absolute error = 1.942890293094024e-16
relative error = 2.507090595612299e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1235
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.780000000000001
y[1] (analytic) = -0.06697476144372361
y[1] (numeric) = -0.06697476144372382
absolute error = 2.081668171172169e-16
relative error = 3.108138239389351e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1321
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.790000000000001
y[1] (analytic) = -0.05635447415492145
y[1] (numeric) = -0.05635447415492178
absolute error = 3.261280134836397e-16
relative error = 5.78708289579806e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1405
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.800000000000001
y[1] (analytic) = -0.04563783782080255
y[1] (numeric) = -0.04563783782080278
absolute error = 2.289834988289385e-16
relative error = 5.017404630956547e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1486
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.810000000000001
y[1] (analytic) = -0.03482779214432835
y[1] (numeric) = -0.03482779214432855
absolute error = 2.012279232133096e-16
relative error = 5.777797294166959e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1566
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.820000000000001
y[1] (analytic) = -0.02392733110046857
y[1] (numeric) = -0.02392733110046881
absolute error = 2.393918396847994e-16
relative error = 1.000495369415068e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1642
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.830000000000001
y[1] (analytic) = -0.01293950203787275
y[1] (numeric) = -0.01293950203787289
absolute error = 1.422473250300982e-16
relative error = 1.099326114820749e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1716
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.840000000000001
y[1] (analytic) = -0.001867404755320434
y[1] (numeric) = -0.001867404755320705
absolute error = 2.706168622523819e-16
relative error = 1.449160185981993e-11 %
Correct digits = 13
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1787
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.850000000000001
y[1] (analytic) = 0.009285809446744231
y[1] (numeric) = 0.009285809446743952
absolute error = 2.792904796322659e-16
relative error = 3.007712803434601e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1856
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.860000000000001
y[1] (analytic) = 0.02051693873928423
y[1] (numeric) = 0.020516938739284
absolute error = 2.255140518769849e-16
relative error = 1.099160331580989e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1921
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.870000000000001
y[1] (analytic) = 0.03182273176201944
y[1] (numeric) = 0.03182273176201907
absolute error = 3.747002708109903e-16
relative error = 1.177461047697346e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1984
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.880000000000001
y[1] (analytic) = 0.04319988864471991
y[1] (numeric) = 0.04319988864471957
absolute error = 3.400058012914542e-16
relative error = 7.870524947128799e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2043
Order of pole (three term test) = 22.21
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.890000000000001
y[1] (analytic) = 0.05464506205209968
y[1] (numeric) = 0.05464506205209933
absolute error = 3.469446951953614e-16
relative error = 6.349058490675287e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2099
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.900000000000001
y[1] (analytic) = 0.06615485825195083
y[1] (numeric) = 0.06615485825195057
absolute error = 2.636779683484747e-16
relative error = 3.985768775201013e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2151
Order of pole (three term test) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.910000000000001
y[1] (analytic) = 0.07772583820615525
y[1] (numeric) = 0.07772583820615503
absolute error = 2.220446049250313e-16
relative error = 2.856766939406865e-13 %
Correct digits = 15
h = 0.01
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) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.920000000000001
y[1] (analytic) = 0.08935451868419514
y[1] (numeric) = 0.08935451868419472
absolute error = 4.163336342344337e-16
relative error = 4.659346168109056e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2246
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.930000000000001
y[1] (analytic) = 0.1010373733987763
y[1] (numeric) = 0.1010373733987759
absolute error = 3.608224830031759e-16
relative error = 3.571178375541045e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2288
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.940000000000002
y[1] (analytic) = 0.1127708341631704
y[1] (numeric) = 0.11277083416317
absolute error = 3.05311331771918e-16
relative error = 2.707360764310363e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2326
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.950000000000002
y[1] (analytic) = 0.1245512920698661
y[1] (numeric) = 0.1245512920698656
absolute error = 5.134781488891349e-16
relative error = 4.122624023852784e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2361
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.960000000000002
y[1] (analytic) = 0.1363750986901162
y[1] (numeric) = 0.1363750986901157
absolute error = 4.718447854656915e-16
relative error = 3.459904264031808e-13 %
Correct digits = 15
h = 0.01
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) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.970000000000002
y[1] (analytic) = 0.1482385672939561
y[1] (numeric) = 0.1482385672939557
absolute error = 4.163336342344337e-16
relative error = 2.808537898297728e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2419
Order of pole (three term test) = 22.37
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.980000000000002
y[1] (analytic) = 0.160137974090258
y[1] (numeric) = 0.1601379740902577
absolute error = 3.608224830031759e-16
relative error = 2.253197500798946e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2442
Order of pole (three term test) = 22.39
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.990000000000002
y[1] (analytic) = 0.1720695594863786
y[1] (numeric) = 0.1720695594863783
absolute error = 3.885780586188048e-16
relative error = 2.258261483197238e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2461
Order of pole (three term test) = 22.41
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.000000000000001
y[1] (analytic) = 0.1840295293669468
y[1] (numeric) = 0.1840295293669467
absolute error = 1.110223024625157e-16
relative error = 6.032852599494619e-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 = 0.2476
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.010000000000001
y[1] (analytic) = 0.1960140563913339
y[1] (numeric) = 0.1960140563913341
absolute error = 1.665334536937735e-16
relative error = 8.495995479084233e-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 = 0.2488
Order of pole (three term test) = 22.45
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.020000000000001
y[1] (analytic) = 0.2080192813093319
y[1] (numeric) = 0.2080192813093323
absolute error = 3.885780586188048e-16
relative error = 1.867990583242981e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2495
Order of pole (three term test) = 22.47
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.030000000000001
y[1] (analytic) = 0.2200413142945665
y[1] (numeric) = 0.2200413142945671
absolute error = 6.38378239159465e-16
relative error = 2.901174450834612e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2498
Order of pole (three term test) = 22.49
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 0.2320762362951558
y[1] (numeric) = 0.2320762362951567
absolute error = 8.881784197001252e-16
relative error = 3.82709765497289e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2498
Order of pole (three term test) = 22.51
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 0.2441201004011231
y[1] (numeric) = 0.2441201004011242
absolute error = 1.137978600240785e-15
relative error = 4.661552237488553e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2493
Order of pole (three term test) = 22.53
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 0.256168933228059
y[1] (numeric) = 0.2561689332280604
absolute error = 1.387778780781446e-15
relative error = 5.41743592126353e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2484
Order of pole (three term test) = 22.55
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 0.2682187363165262
y[1] (numeric) = 0.2682187363165278
absolute error = 1.609823385706477e-15
relative error = 6.001905041438705e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2471
Order of pole (three term test) = 22.57
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 0.2802654875466874
y[1] (numeric) = 0.2802654875466893
absolute error = 1.942890293094024e-15
relative error = 6.932320886532174e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2455
Order of pole (three term test) = 22.59
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.089999999999999
y[1] (analytic) = 0.2923051425676347
y[1] (numeric) = 0.2923051425676368
absolute error = 2.164934898019055e-15
relative error = 7.406420834755325e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2434
Order of pole (three term test) = 22.61
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.099999999999999
y[1] (analytic) = 0.3043336362408857
y[1] (numeric) = 0.3043336362408882
absolute error = 2.498001805406602e-15
relative error = 8.208102910548435e-13 %
Correct digits = 15
h = 0.01
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) = 22.63
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.109999999999999
y[1] (analytic) = 0.316346884097512
y[1] (numeric) = 0.3163468840975148
absolute error = 2.775557561562891e-15
relative error = 8.773778725468155e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2382
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.119999999999999
y[1] (analytic) = 0.3283407838083525
y[1] (numeric) = 0.3283407838083555
absolute error = 2.997602166487923e-15
relative error = 9.129545625491281e-13 %
Correct digits = 15
h = 0.01
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) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.129999999999999
y[1] (analytic) = 0.3403112166667602
y[1] (numeric) = 0.3403112166667634
absolute error = 3.219646771412954e-15
relative error = 9.460889367527662e-13 %
Correct digits = 15
h = 0.01
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) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.139999999999998
y[1] (analytic) = 0.3522540490833282
y[1] (numeric) = 0.3522540490833317
absolute error = 3.497202527569243e-15
relative error = 9.92806906455731e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2274
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.149999999999998
y[1] (analytic) = 0.3641651340920266
y[1] (numeric) = 0.3641651340920303
absolute error = 3.774758283725532e-15
relative error = 1.036551259399707e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2231
Order of pole (three term test) = 22.72
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.159999999999998
y[1] (analytic) = 0.376040312867185
y[1] (numeric) = 0.376040312867189
absolute error = 3.996802888650564e-15
relative error = 1.062865536457047e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2184
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.169999999999998
y[1] (analytic) = 0.3878754162507437
y[1] (numeric) = 0.387875416250748
absolute error = 4.274358644806853e-15
relative error = 1.10199266716189e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2134
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.179999999999997
y[1] (analytic) = 0.3996662662891938
y[1] (numeric) = 0.3996662662891984
absolute error = 4.6074255521944e-15
relative error = 1.152818223807891e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.208
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.189999999999997
y[1] (analytic) = 0.4114086777796211
y[1] (numeric) = 0.411408677779626
absolute error = 4.884981308350689e-15
relative error = 1.187379258676557e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2023
Order of pole (three term test) = 22.79
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.199999999999997
y[1] (analytic) = 0.4230984598242632
y[1] (numeric) = 0.4230984598242682
absolute error = 5.051514762044462e-15
relative error = 1.193933621063675e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1963
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.209999999999997
y[1] (analytic) = 0.4347314173929847
y[1] (numeric) = 0.43473141739299
absolute error = 5.329070518200751e-15
relative error = 1.225830548470212e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1899
Order of pole (three term test) = 22.82
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.219999999999997
y[1] (analytic) = 0.4463033528930725
y[1] (numeric) = 0.4463033528930781
absolute error = 5.551115123125783e-15
relative error = 1.243798660068714e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1833
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.229999999999996
y[1] (analytic) = 0.4578100677457453
y[1] (numeric) = 0.4578100677457511
absolute error = 5.828670879282072e-15
relative error = 1.273163543122243e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1764
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.239999999999996
y[1] (analytic) = 0.469247363968772
y[1] (numeric) = 0.469247363968778
absolute error = 6.050715484207103e-15
relative error = 1.289451140019568e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1691
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.249999999999996
y[1] (analytic) = 0.4806110457645863
y[1] (numeric) = 0.4806110457645926
absolute error = 6.328271240363392e-15
relative error = 1.316713649453474e-12 %
Correct digits = 14
h = 0.01
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) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.259999999999996
y[1] (analytic) = 0.491896921113284
y[1] (numeric) = 0.4918969211132905
absolute error = 6.494804694057166e-15
relative error = 1.320358883189962e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1539
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.269999999999996
y[1] (analytic) = 0.5031008033698828
y[1] (numeric) = 0.5031008033698896
absolute error = 6.772360450213455e-15
relative error = 1.346123958628302e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1459
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.279999999999995
y[1] (analytic) = 0.5142185128652275
y[1] (numeric) = 0.5142185128652343
absolute error = 6.883382752675971e-15
relative error = 1.338610450705428e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1377
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.289999999999995
y[1] (analytic) = 0.5252458785099111
y[1] (numeric) = 0.5252458785099182
absolute error = 7.105427357601002e-15
relative error = 1.352781173220939e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1292
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.299999999999995
y[1] (analytic) = 0.5361787394005925
y[1] (numeric) = 0.5361787394005998
absolute error = 7.327471962526033e-15
relative error = 1.36660994255714e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1205
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.309999999999995
y[1] (analytic) = 0.5470129464280757
y[1] (numeric) = 0.5470129464280833
absolute error = 7.549516567451064e-15
relative error = 1.380134897491629e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1117
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.319999999999995
y[1] (analytic) = 0.5577443638865246
y[1] (numeric) = 0.5577443638865325
absolute error = 7.882583474838611e-15
relative error = 1.41329684085205e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1027
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.329999999999994
y[1] (analytic) = 0.5683688710831785
y[1] (numeric) = 0.5683688710831866
absolute error = 8.104628079763643e-15
relative error = 1.425945102221751e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09347
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.339999999999994
y[1] (analytic) = 0.5788823639479351
y[1] (numeric) = 0.5788823639479435
absolute error = 8.326672684688674e-15
relative error = 1.438404968481226e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08412
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.349999999999994
y[1] (analytic) = 0.5892807566421673
y[1] (numeric) = 0.5892807566421758
absolute error = 8.548717289613705e-15
relative error = 1.450703623570861e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07464
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.359999999999994
y[1] (analytic) = 0.5995599831661346
y[1] (numeric) = 0.5995599831661433
absolute error = 8.770761894538737e-15
relative error = 1.462866458869122e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06504
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.369999999999993
y[1] (analytic) = 0.6097159989643557
y[1] (numeric) = 0.6097159989643646
absolute error = 8.881784197001252e-15
relative error = 1.456708403927004e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05534
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.379999999999993
y[1] (analytic) = 0.6197447825283019
y[1] (numeric) = 0.6197447825283111
absolute error = 9.214851104388799e-15
relative error = 1.486878367381493e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04555
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.389999999999993
y[1] (analytic) = 0.6296423369957764
y[1] (numeric) = 0.6296423369957858
absolute error = 9.325873406851315e-15
relative error = 1.48113823656586e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03568
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.399999999999993
y[1] (analytic) = 0.6394046917463383
y[1] (numeric) = 0.639404691746348
absolute error = 9.658940314238862e-15
relative error = 1.510614551147321e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.409999999999993
y[1] (analytic) = 0.6490279039921383
y[1] (numeric) = 0.649027903992148
absolute error = 9.769962616701378e-15
relative error = 1.505322430146196e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.419999999999992
y[1] (analytic) = 0.6585080603635248
y[1] (numeric) = 0.6585080603635348
absolute error = 9.992007221626409e-15
relative error = 1.51737052635474e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.429999999999992
y[1] (analytic) = 0.667841278488788
y[1] (numeric) = 0.6678412784887983
absolute error = 1.021405182655144e-14
relative error = 1.529413073966334e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.439999999999992
y[1] (analytic) = 0.6770237085674043
y[1] (numeric) = 0.6770237085674147
absolute error = 1.032507412901396e-14
relative error = 1.52506832454391e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.449999999999992
y[1] (analytic) = 0.6860515349361475
y[1] (numeric) = 0.686051534936158
absolute error = 1.054711873393899e-14
relative error = 1.537365372255983e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02416
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.459999999999992
y[1] (analytic) = 0.6949209776274365
y[1] (numeric) = 0.6949209776274472
absolute error = 1.06581410364015e-14
relative error = 1.533719858737029e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03409
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.469999999999991
y[1] (analytic) = 0.7036282939192865
y[1] (numeric) = 0.7036282939192973
absolute error = 1.076916333886402e-14
relative error = 1.530518802602238e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04397
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) = 0.7121697798762356
y[1] (numeric) = 0.7121697798762466
absolute error = 1.099120794378905e-14
relative error = 1.543340963681323e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05378
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.489999999999991
y[1] (analytic) = 0.720541771880623
y[1] (numeric) = 0.7205417718806341
absolute error = 1.110223024625157e-14
relative error = 1.540817018460235e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0635
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) = 0.7287406481535905
y[1] (numeric) = 0.7287406481536018
absolute error = 1.13242748511766e-14
relative error = 1.55395131036932e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07312
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) = 0.7367628302651926
y[1] (numeric) = 0.7367628302652038
absolute error = 1.121325254871408e-14
relative error = 1.521962304297836e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08262
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.51999999999999
y[1] (analytic) = 0.7446047846329897
y[1] (numeric) = 0.7446047846330009
absolute error = 1.121325254871408e-14
relative error = 1.50593345357578e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09199
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) = 0.7522630240085182
y[1] (numeric) = 0.7522630240085296
absolute error = 1.143529715363911e-14
relative error = 1.520119531158775e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1012
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.53999999999999
y[1] (analytic) = 0.7597341089510197
y[1] (numeric) = 0.7597341089510313
absolute error = 1.165734175856414e-14
relative error = 1.534397576891693e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1103
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.54999999999999
y[1] (analytic) = 0.7670146492878255
y[1] (numeric) = 0.7670146492878372
absolute error = 1.176836406102666e-14
relative error = 1.534307600507188e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1192
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.559999999999989
y[1] (analytic) = 0.7741013055607924
y[1] (numeric) = 0.7741013055608043
absolute error = 1.187938636348917e-14
relative error = 1.534603582005747e-12 %
Correct digits = 14
h = 0.01
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) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.569999999999989
y[1] (analytic) = 0.7809907904581908
y[1] (numeric) = 0.780990790458203
absolute error = 1.221245327087672e-14
relative error = 1.563712840161909e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1364
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.579999999999989
y[1] (analytic) = 0.7876798702314516
y[1] (numeric) = 0.7876798702314638
absolute error = 1.221245327087672e-14
relative error = 1.550433587605612e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1446
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.589999999999989
y[1] (analytic) = 0.7941653660961797
y[1] (numeric) = 0.794165366096192
absolute error = 1.232347557333924e-14
relative error = 1.551751826438471e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1527
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.599999999999989
y[1] (analytic) = 0.800444155616854
y[1] (numeric) = 0.8004441556168664
absolute error = 1.243449787580175e-14
relative error = 1.553449767675452e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1605
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.609999999999988
y[1] (analytic) = 0.8065131740746296
y[1] (numeric) = 0.8065131740746423
absolute error = 1.265654248072678e-14
relative error = 1.569291474407537e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.168
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.619999999999988
y[1] (analytic) = 0.8123694158176725
y[1] (numeric) = 0.8123694158176853
absolute error = 1.27675647831893e-14
relative error = 1.571645181932211e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1753
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.629999999999988
y[1] (analytic) = 0.818009935593455
y[1] (numeric) = 0.8180099355934679
absolute error = 1.287858708565182e-14
relative error = 1.574380276482654e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1823
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.639999999999988
y[1] (analytic) = 0.8234318498624534
y[1] (numeric) = 0.8234318498624664
absolute error = 1.298960938811433e-14
relative error = 1.577496594318537e-12 %
Correct digits = 14
h = 0.01
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) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.649999999999987
y[1] (analytic) = 0.828632338092689
y[1] (numeric) = 0.828632338092702
absolute error = 1.298960938811433e-14
relative error = 1.56759624153859e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1954
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.659999999999987
y[1] (analytic) = 0.8336086440345637
y[1] (numeric) = 0.8336086440345768
absolute error = 1.310063169057685e-14
relative error = 1.571556603248665e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2015
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.669999999999987
y[1] (analytic) = 0.8383580769754491
y[1] (numeric) = 0.8383580769754622
absolute error = 1.310063169057685e-14
relative error = 1.562653483084471e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2072
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.679999999999987
y[1] (analytic) = 0.8428780129734892
y[1] (numeric) = 0.8428780129735025
absolute error = 1.332267629550188e-14
relative error = 1.580617371724099e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2127
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.689999999999987
y[1] (analytic) = 0.8471658960700927
y[1] (numeric) = 0.8471658960701062
absolute error = 1.343369859796439e-14
relative error = 1.585722307789042e-12 %
Correct digits = 14
h = 0.01
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) = 22.75
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.699999999999986
y[1] (analytic) = 0.851219239480588
y[1] (numeric) = 0.8512192394806015
absolute error = 1.354472090042691e-14
relative error = 1.591214139930844e-12 %
Correct digits = 14
h = 0.01
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) = 22.73
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.709999999999986
y[1] (analytic) = 0.8550356267625311
y[1] (numeric) = 0.8550356267625447
absolute error = 1.365574320288943e-14
relative error = 1.597096398730767e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2269
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.719999999999986
y[1] (analytic) = 0.8586127129611578
y[1] (numeric) = 0.8586127129611716
absolute error = 1.376676550535194e-14
relative error = 1.603373127084682e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2309
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.729999999999986
y[1] (analytic) = 0.8619482257314823
y[1] (numeric) = 0.8619482257314962
absolute error = 1.387778780781446e-14
relative error = 1.610048886177268e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2346
Order of pole (three term test) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.739999999999986
y[1] (analytic) = 0.8650399664365521
y[1] (numeric) = 0.8650399664365659
absolute error = 1.376676550535194e-14
relative error = 1.591460052656618e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2379
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.749999999999985
y[1] (analytic) = 0.8678858112213763
y[1] (numeric) = 0.8678858112213901
absolute error = 1.376676550535194e-14
relative error = 1.586241568574322e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2408
Order of pole (three term test) = 22.64
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.759999999999985
y[1] (analytic) = 0.8704837120620564
y[1] (numeric) = 0.8704837120620702
absolute error = 1.376676550535194e-14
relative error = 1.581507535935436e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2433
Order of pole (three term test) = 22.62
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.769999999999985
y[1] (analytic) = 0.8728316977896521
y[1] (numeric) = 0.872831697789666
absolute error = 1.387778780781446e-14
relative error = 1.589972940139364e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2454
Order of pole (three term test) = 22.6
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.779999999999985
y[1] (analytic) = 0.8749278750883287
y[1] (numeric) = 0.8749278750883426
absolute error = 1.387778780781446e-14
relative error = 1.586163637364213e-12 %
Correct digits = 14
h = 0.01
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) = 22.58
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.789999999999984
y[1] (analytic) = 0.8767704294673381
y[1] (numeric) = 0.8767704294673521
absolute error = 1.398881011027697e-14
relative error = 1.5954929181149e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2485
Order of pole (three term test) = 22.56
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.799999999999984
y[1] (analytic) = 0.8783576262063979
y[1] (numeric) = 0.8783576262064119
absolute error = 1.398881011027697e-14
relative error = 1.592609854222392e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2494
Order of pole (three term test) = 22.54
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.809999999999984
y[1] (analytic) = 0.8796878112740398
y[1] (numeric) = 0.8796878112740539
absolute error = 1.409983241273949e-14
relative error = 1.602822300370275e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.25
Order of pole (three term test) = 22.52
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.819999999999984
y[1] (analytic) = 0.8807594122185101
y[1] (numeric) = 0.8807594122185242
absolute error = 1.409983241273949e-14
relative error = 1.600872181112885e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2501
Order of pole (three term test) = 22.5
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.829999999999984
y[1] (analytic) = 0.8815709390308136
y[1] (numeric) = 0.8815709390308276
absolute error = 1.398881011027697e-14
relative error = 1.586804815237679e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2499
Order of pole (three term test) = 22.48
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.839999999999983
y[1] (analytic) = 0.8821209849795044
y[1] (numeric) = 0.8821209849795184
absolute error = 1.398881011027697e-14
relative error = 1.585815364159146e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2492
Order of pole (three term test) = 22.46
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.849999999999983
y[1] (analytic) = 0.8824082274168346
y[1] (numeric) = 0.8824082274168485
absolute error = 1.398881011027697e-14
relative error = 1.585299147904352e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2482
Order of pole (three term test) = 22.44
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.859999999999983
y[1] (analytic) = 0.8824314285558843
y[1] (numeric) = 0.8824314285558984
absolute error = 1.409983241273949e-14
relative error = 1.597838875232961e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2467
Order of pole (three term test) = 22.42
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.869999999999983
y[1] (analytic) = 0.8821894362183068
y[1] (numeric) = 0.8821894362183209
absolute error = 1.409983241273949e-14
relative error = 1.598277176519074e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2449
Order of pole (three term test) = 22.4
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.879999999999983
y[1] (analytic) = 0.8816811845523309
y[1] (numeric) = 0.8816811845523449
absolute error = 1.398881011027697e-14
relative error = 1.586606400972447e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2427
Order of pole (three term test) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.889999999999982
y[1] (analytic) = 0.8809056947206781
y[1] (numeric) = 0.8809056947206922
absolute error = 1.409983241273949e-14
relative error = 1.600606341546053e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.24
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.899999999999982
y[1] (analytic) = 0.87986207555806
y[1] (numeric) = 0.8798620755580738
absolute error = 1.387778780781446e-14
relative error = 1.57726855075693e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.237
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.909999999999982
y[1] (analytic) = 0.878549524197929
y[1] (numeric) = 0.878549524197943
absolute error = 1.398881011027697e-14
relative error = 1.592261986943541e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2337
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.919999999999982
y[1] (analytic) = 0.8769673266681796
y[1] (numeric) = 0.8769673266681934
absolute error = 1.387778780781446e-14
relative error = 1.582474897957679e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2299
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.929999999999982
y[1] (analytic) = 0.8751148584554895
y[1] (numeric) = 0.8751148584555034
absolute error = 1.387778780781446e-14
relative error = 1.585824726174537e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2258
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.939999999999981
y[1] (analytic) = 0.8729915850380213
y[1] (numeric) = 0.8729915850380352
absolute error = 1.387778780781446e-14
relative error = 1.58968173870886e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2213
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.949999999999981
y[1] (analytic) = 0.870597062386202
y[1] (numeric) = 0.8705970623862158
absolute error = 1.376676550535194e-14
relative error = 1.581301626221767e-12 %
Correct digits = 14
h = 0.01
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) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.959999999999981
y[1] (analytic) = 0.8679309374313184
y[1] (numeric) = 0.8679309374313322
absolute error = 1.376676550535194e-14
relative error = 1.58615909534177e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2113
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.969999999999981
y[1] (analytic) = 0.864992948501675
y[1] (numeric) = 0.8649929485016887
absolute error = 1.376676550535194e-14
relative error = 1.591546558755014e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2057
Order of pole (three term test) = 22.22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.97999999999998
y[1] (analytic) = 0.8617829257260727
y[1] (numeric) = 0.8617829257260864
absolute error = 1.365574320288943e-14
relative error = 1.584591988914625e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1999
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.98999999999998
y[1] (analytic) = 0.8583007914043805
y[1] (numeric) = 0.8583007914043942
absolute error = 1.365574320288943e-14
relative error = 1.591020693403468e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1937
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.99999999999998
y[1] (analytic) = 0.8545465603449842
y[1] (numeric) = 0.8545465603449978
absolute error = 1.354472090042691e-14
relative error = 1.585018479854257e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1872
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.00999999999998
y[1] (analytic) = 0.8505203401689064
y[1] (numeric) = 0.8505203401689199
absolute error = 1.343369859796439e-14
relative error = 1.57946823415141e-12 %
Correct digits = 14
h = 0.01
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) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.01999999999998
y[1] (analytic) = 0.846222331580409
y[1] (numeric) = 0.8462223315804224
absolute error = 1.332267629550188e-14
relative error = 1.574370682302886e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1734
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.029999999999979
y[1] (analytic) = 0.8416528286038976
y[1] (numeric) = 0.8416528286039108
absolute error = 1.321165399303936e-14
relative error = 1.569727272817982e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.166
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.039999999999979
y[1] (analytic) = 0.8368122187869613
y[1] (numeric) = 0.8368122187869744
absolute error = 1.310063169057685e-14
relative error = 1.565540200831132e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1584
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.049999999999979
y[1] (analytic) = 0.8317009833693972
y[1] (numeric) = 0.8317009833694102
absolute error = 1.298960938811433e-14
relative error = 1.561812435941901e-12 %
Correct digits = 14
h = 0.01
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) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.059999999999979
y[1] (analytic) = 0.8263196974180753
y[1] (numeric) = 0.8263196974180882
absolute error = 1.287858708565182e-14
relative error = 1.558547754082632e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1425
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.069999999999979
y[1] (analytic) = 0.8206690299275192
y[1] (numeric) = 0.820669029927532
absolute error = 1.27675647831893e-14
relative error = 1.555750773770142e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1341
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.079999999999978
y[1] (analytic) = 0.8147497438860872
y[1] (numeric) = 0.8147497438860998
absolute error = 1.254552017826427e-14
relative error = 1.539800444542183e-12 %
Correct digits = 14
h = 0.01
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) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.089999999999978
y[1] (analytic) = 0.8085626963076509
y[1] (numeric) = 0.8085626963076633
absolute error = 1.243449787580175e-14
relative error = 1.537852034552747e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1168
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.099999999999978
y[1] (analytic) = 0.802108838228685
y[1] (numeric) = 0.8021088382286974
absolute error = 1.243449787580175e-14
relative error = 1.550225765279078e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1079
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.109999999999978
y[1] (analytic) = 0.7953892146706917
y[1] (numeric) = 0.7953892146707039
absolute error = 1.221245327087672e-14
relative error = 1.535405942854398e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09878
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.119999999999977
y[1] (analytic) = 0.7884049645678968
y[1] (numeric) = 0.7884049645679089
absolute error = 1.210143096841421e-14
relative error = 1.534925769404137e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08952
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.129999999999977
y[1] (analytic) = 0.7811573206601712
y[1] (numeric) = 0.7811573206601831
absolute error = 1.187938636348917e-14
relative error = 1.520741859456642e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08011
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.139999999999977
y[1] (analytic) = 0.7736476093511395
y[1] (numeric) = 0.7736476093511512
absolute error = 1.165734175856414e-14
relative error = 1.506802530979342e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07058
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.149999999999977
y[1] (analytic) = 0.7658772505314551
y[1] (numeric) = 0.7658772505314665
absolute error = 1.143529715363911e-14
relative error = 1.493097901224245e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06093
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.159999999999977
y[1] (analytic) = 0.757847757367232
y[1] (numeric) = 0.7578477573672433
absolute error = 1.13242748511766e-14
relative error = 1.49426777886329e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05118
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.169999999999976
y[1] (analytic) = 0.7495607360536392
y[1] (numeric) = 0.7495607360536503
absolute error = 1.110223024625157e-14
relative error = 1.481164862597216e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04135
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.179999999999976
y[1] (analytic) = 0.7410178855336724
y[1] (numeric) = 0.7410178855336834
absolute error = 1.099120794378905e-14
relative error = 1.483258118105113e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03146
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.189999999999976
y[1] (analytic) = 0.7322209971821391
y[1] (numeric) = 0.7322209971821498
absolute error = 1.076916333886402e-14
relative error = 1.470753144243036e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.199999999999976
y[1] (analytic) = 0.7231719544548956
y[1] (numeric) = 0.7231719544549062
absolute error = 1.06581410364015e-14
relative error = 1.473804531653233e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.209999999999976
y[1] (analytic) = 0.7138727325034002
y[1] (numeric) = 0.7138727325034107
absolute error = 1.043609643147647e-14
relative error = 1.461898732968732e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.219999999999975
y[1] (analytic) = 0.7043253977546491
y[1] (numeric) = 0.7043253977546593
absolute error = 1.021405182655144e-14
relative error = 1.450189338495144e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.229999999999975
y[1] (analytic) = 0.694532107456582
y[1] (numeric) = 0.694532107456592
absolute error = 9.992007221626409e-15
relative error = 1.438667430108845e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01844
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.239999999999975
y[1] (analytic) = 0.6844951091890557
y[1] (numeric) = 0.6844951091890654
absolute error = 9.769962616701378e-15
relative error = 1.42732394805219e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02839
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.249999999999975
y[1] (analytic) = 0.6742167403404963
y[1] (numeric) = 0.6742167403405058
absolute error = 9.547918011776346e-15
relative error = 1.41614965047507e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0383
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.259999999999974
y[1] (analytic) = 0.663699427550355
y[1] (numeric) = 0.6636994275503645
absolute error = 9.436895709313831e-15
relative error = 1.421862867072889e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04815
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.269999999999974
y[1] (analytic) = 0.6529456861175068
y[1] (numeric) = 0.6529456861175159
absolute error = 9.103828801926284e-15
relative error = 1.394270457020513e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05792
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.279999999999974
y[1] (analytic) = 0.6419581193747405
y[1] (numeric) = 0.6419581193747493
absolute error = 8.881784197001252e-15
relative error = 1.383545737477704e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0676
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.289999999999974
y[1] (analytic) = 0.6307394180295087
y[1] (numeric) = 0.6307394180295174
absolute error = 8.659739592076221e-15
relative error = 1.372950436351368e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07717
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.299999999999974
y[1] (analytic) = 0.6192923594711122
y[1] (numeric) = 0.6192923594711206
absolute error = 8.43769498715119e-15
relative error = 1.362473613328146e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08662
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.309999999999973
y[1] (analytic) = 0.6076198070445105
y[1] (numeric) = 0.6076198070445187
absolute error = 8.215650382226158e-15
relative error = 1.35210378051819e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09592
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.319999999999973
y[1] (analytic) = 0.5957247092909637
y[1] (numeric) = 0.5957247092909717
absolute error = 7.993605777301127e-15
relative error = 1.341828809957401e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1051
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.329999999999973
y[1] (analytic) = 0.5836100991557205
y[1] (numeric) = 0.5836100991557281
absolute error = 7.66053886991358e-15
relative error = 1.312612458385435e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1141
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.339999999999973
y[1] (analytic) = 0.5712790931629839
y[1] (numeric) = 0.5712790931629913
absolute error = 7.438494264988549e-15
relative error = 1.302077102770217e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1229
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.349999999999973
y[1] (analytic) = 0.5587348905583964
y[1] (numeric) = 0.5587348905584035
absolute error = 7.105427357601002e-15
relative error = 1.271699240135134e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1315
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.359999999999972
y[1] (analytic) = 0.5459807724193003
y[1] (numeric) = 0.5459807724193072
absolute error = 6.883382752675971e-15
relative error = 1.26073720914657e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1399
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.369999999999972
y[1] (analytic) = 0.5330201007330414
y[1] (numeric) = 0.5330201007330481
absolute error = 6.661338147750939e-15
relative error = 1.249734885905778e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.148
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.379999999999972
y[1] (analytic) = 0.5198563174435968
y[1] (numeric) = 0.5198563174436033
absolute error = 6.439293542825908e-15
relative error = 1.238667940882445e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.156
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.389999999999972
y[1] (analytic) = 0.5064929434668202
y[1] (numeric) = 0.5064929434668263
absolute error = 6.106226635438361e-15
relative error = 1.20558967586848e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1637
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.399999999999971
y[1] (analytic) = 0.4929335776746094
y[1] (numeric) = 0.4929335776746152
absolute error = 5.773159728050814e-15
relative error = 1.171184108675538e-12 %
Correct digits = 14
h = 0.01
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) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.409999999999971
y[1] (analytic) = 0.4791818958483166
y[1] (numeric) = 0.479181895848322
absolute error = 5.495603971894525e-15
relative error = 1.146872204377717e-12 %
Correct digits = 14
h = 0.01
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) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.419999999999971
y[1] (analytic) = 0.4652416496017279
y[1] (numeric) = 0.4652416496017331
absolute error = 5.218048215738236e-15
relative error = 1.121578048785006e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1851
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.429999999999971
y[1] (analytic) = 0.4511166652739583
y[1] (numeric) = 0.4511166652739632
absolute error = 4.884981308350689e-15
relative error = 1.082864297505855e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1917
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.439999999999971
y[1] (analytic) = 0.4368108427926132
y[1] (numeric) = 0.4368108427926178
absolute error = 4.551914400963142e-15
relative error = 1.04207907749311e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1979
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.44999999999997
y[1] (analytic) = 0.4223281545075845
y[1] (numeric) = 0.4223281545075888
absolute error = 4.218847493575595e-15
relative error = 9.989500933212894e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2039
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) = 0.4076726439958589
y[1] (numeric) = 0.4076726439958628
absolute error = 3.941291737419306e-15
relative error = 9.667785649751227e-13 %
Correct digits = 15
h = 0.01
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) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.46999999999997
y[1] (analytic) = 0.3928484248377271
y[1] (numeric) = 0.3928484248377307
absolute error = 3.608224830031759e-15
relative error = 9.184776116951975e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2148
Order of pole (three term test) = 22.24
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.47999999999997
y[1] (analytic) = 0.3778596793647955
y[1] (numeric) = 0.3778596793647988
absolute error = 3.275157922644212e-15
relative error = 8.667656544222835e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2197
Order of pole (three term test) = 22.26
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.48999999999997
y[1] (analytic) = 0.3627106573802127
y[1] (numeric) = 0.3627106573802157
absolute error = 2.997602166487923e-15
relative error = 8.26444469026361e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2243
Order of pole (three term test) = 22.28
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.499999999999969
y[1] (analytic) = 0.3474056748515343
y[1] (numeric) = 0.347405674851537
absolute error = 2.664535259100376e-15
relative error = 7.66980925178922e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2285
Order of pole (three term test) = 22.3
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.509999999999969
y[1] (analytic) = 0.3319491125766593
y[1] (numeric) = 0.3319491125766615
absolute error = 2.275957200481571e-15
relative error = 6.85634368115977e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2324
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.519999999999969
y[1] (analytic) = 0.316345414823285
y[1] (numeric) = 0.3163454148232869
absolute error = 1.942890293094024e-15
relative error = 6.141673632852716e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2359
Order of pole (three term test) = 22.33
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.529999999999969
y[1] (analytic) = 0.3005990879423365
y[1] (numeric) = 0.3005990879423382
absolute error = 1.665334536937735e-15
relative error = 5.540051862223858e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.239
Order of pole (three term test) = 22.35
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.539999999999969
y[1] (analytic) = 0.2847146989558358
y[1] (numeric) = 0.2847146989558371
absolute error = 1.27675647831893e-15
relative error = 4.484336365496104e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2418
Order of pole (three term test) = 22.37
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.549999999999968
y[1] (analytic) = 0.2686968741196882
y[1] (numeric) = 0.2686968741196892
absolute error = 9.436895709313831e-16
relative error = 3.512097317927957e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2441
Order of pole (three term test) = 22.39
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.559999999999968
y[1] (analytic) = 0.2525502974618753
y[1] (numeric) = 0.2525502974618759
absolute error = 5.551115123125783e-16
relative error = 2.198023593285917e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2461
Order of pole (three term test) = 22.41
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.569999999999968
y[1] (analytic) = 0.2362797092965476
y[1] (numeric) = 0.2362797092965478
absolute error = 2.220446049250313e-16
relative error = 9.397531662202518e-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 = 0.2476
Order of pole (three term test) = 22.43
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.579999999999968
y[1] (analytic) = 0.2198899047145287
y[1] (numeric) = 0.2198899047145285
absolute error = 1.387778780781446e-16
relative error = 6.311243722548903e-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 = 0.2488
Order of pole (three term test) = 22.45
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.589999999999967
y[1] (analytic) = 0.2033857320507435
y[1] (numeric) = 0.203385732050743
absolute error = 4.718447854656915e-16
relative error = 2.319950277278886e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2495
Order of pole (three term test) = 22.47
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.599999999999967
y[1] (analytic) = 0.1867720913291001
y[1] (numeric) = 0.1867720913290993
absolute error = 8.326672684688674e-16
relative error = 4.458199630059683e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2499
Order of pole (three term test) = 22.49
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.609999999999967
y[1] (analytic) = 0.1700539326853589
y[1] (numeric) = 0.1700539326853577
absolute error = 1.193489751472043e-15
relative error = 7.018301386068439e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2499
Order of pole (three term test) = 22.51
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.619999999999967
y[1] (analytic) = 0.1532362547685342
y[1] (numeric) = 0.1532362547685326
absolute error = 1.554312234475219e-15
relative error = 1.014324082002026e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2495
Order of pole (three term test) = 22.53
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.629999999999967
y[1] (analytic) = 0.1363241031213825
y[1] (numeric) = 0.1363241031213806
absolute error = 1.942890293094024e-15
relative error = 1.425199395123899e-12 %
Correct digits = 14
h = 0.01
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) = 22.55
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.639999999999966
y[1] (analytic) = 0.119322568540539
y[1] (numeric) = 0.1193225685405367
absolute error = 2.289834988289385e-15
relative error = 1.919029246769383e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2474
Order of pole (three term test) = 22.57
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.649999999999966
y[1] (analytic) = 0.1022367854168731
y[1] (numeric) = 0.1022367854168705
absolute error = 2.664535259100376e-15
relative error = 2.606239278979347e-12 %
Correct digits = 14
h = 0.01
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) = 22.59
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.659999999999966
y[1] (analytic) = 0.08507193005664318
y[1] (numeric) = 0.08507193005664014
absolute error = 3.039235529911366e-15
relative error = 3.572547993078047e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2438
Order of pole (three term test) = 22.61
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.669999999999966
y[1] (analytic) = 0.06783321898403591
y[1] (numeric) = 0.0678332189840325
absolute error = 3.413935800722356e-15
relative error = 5.032837674304979e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2413
Order of pole (three term test) = 22.63
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.679999999999966
y[1] (analytic) = 0.05052590722568703
y[1] (numeric) = 0.05052590722568327
absolute error = 3.767819389821625e-15
relative error = 7.457202842477791e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2386
Order of pole (three term test) = 22.65
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.689999999999965
y[1] (analytic) = 0.0331552865777851
y[1] (numeric) = 0.03315528657778097
absolute error = 4.135580766728708e-15
relative error = 1.247336757903234e-11 %
Correct digits = 13
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2354
Order of pole (three term test) = 22.67
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.699999999999965
y[1] (analytic) = 0.01572668385636861
y[1] (numeric) = 0.01572668385636409
absolute error = 4.517219931443606e-15
relative error = 2.87232831326633e-11 %
Correct digits = 13
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2318
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.709999999999965
y[1] (analytic) = -0.001754540868566135
y[1] (numeric) = -0.001754540868571016
absolute error = 4.881511861398735e-15
relative error = 2.782216104996208e-10 %
Correct digits = 12
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2279
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.719999999999965
y[1] (analytic) = -0.01928299605452194
y[1] (numeric) = -0.01928299605452724
absolute error = 5.304784389537076e-15
relative error = 2.751016685652997e-11 %
Correct digits = 13
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2236
Order of pole (three term test) = 22.72
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.729999999999964
y[1] (analytic) = -0.03685326048289223
y[1] (numeric) = -0.03685326048289787
absolute error = 5.648259637780484e-15
relative error = 1.532634986367755e-11 %
Correct digits = 13
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.219
Order of pole (three term test) = 22.74
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.739999999999964
y[1] (analytic) = -0.05445988506964822
y[1] (numeric) = -0.05445988506965424
absolute error = 6.022959908591474e-15
relative error = 1.105944292921068e-11 %
Correct digits = 13
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.214
Order of pole (three term test) = 22.76
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.749999999999964
y[1] (analytic) = -0.07209739468967982
y[1] (numeric) = -0.07209739468968621
absolute error = 6.38378239159465e-15
relative error = 8.85438706775966e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2086
Order of pole (three term test) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.759999999999964
y[1] (analytic) = -0.08976029001413877
y[1] (numeric) = -0.08976029001414551
absolute error = 6.744604874597826e-15
relative error = 7.51401858609797e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.203
Order of pole (three term test) = 22.79
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.769999999999964
y[1] (analytic) = -0.1074430493601295
y[1] (numeric) = -0.1074430493601367
absolute error = 7.133182933216631e-15
relative error = 6.63903619238086e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.197
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.779999999999963
y[1] (analytic) = -0.1251401305520864
y[1] (numeric) = -0.1251401305520939
absolute error = 7.521760991835436e-15
relative error = 6.010670564791118e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1907
Order of pole (three term test) = 22.82
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.789999999999963
y[1] (analytic) = -0.1428459727941706
y[1] (numeric) = -0.1428459727941785
absolute error = 7.938094626069869e-15
relative error = 5.557100750406186e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.184
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.799999999999963
y[1] (analytic) = -0.1605549985530155
y[1] (numeric) = -0.1605549985530238
absolute error = 8.298917109073045e-15
relative error = 5.16889364010223e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1771
Order of pole (three term test) = 22.85
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.809999999999963
y[1] (analytic) = -0.1782616154501445
y[1] (numeric) = -0.1782616154501531
absolute error = 8.659739592076221e-15
relative error = 4.857882371484591e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1699
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.819999999999963
y[1] (analytic) = -0.1959602181633799
y[1] (numeric) = -0.1959602181633889
absolute error = 9.048317650695026e-15
relative error = 4.617425789529934e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1625
Order of pole (three term test) = 22.88
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.829999999999962
y[1] (analytic) = -0.2136451903365585
y[1] (numeric) = -0.2136451903365679
absolute error = 9.381384558082573e-15
relative error = 4.391104963937608e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1548
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.839999999999962
y[1] (analytic) = -0.2313109064968644
y[1] (numeric) = -0.2313109064968742
absolute error = 9.797718192317006e-15
relative error = 4.235735504520978e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1468
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.849999999999962
y[1] (analytic) = -0.2489517339790859
y[1] (numeric) = -0.2489517339790961
absolute error = 1.018629625093581e-14
relative error = 4.091675156515097e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1386
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.859999999999962
y[1] (analytic) = -0.266562034856101
y[1] (numeric) = -0.2665620348561116
absolute error = 1.054711873393899e-14
relative error = 3.956722021435899e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1301
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.869999999999961
y[1] (analytic) = -0.2841361678748912
y[1] (numeric) = -0.2841361678749021
absolute error = 1.093569679255779e-14
relative error = 3.848752122740291e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1215
Order of pole (three term test) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.879999999999961
y[1] (analytic) = -0.3016684903973806
y[1] (numeric) = -0.3016684903973919
absolute error = 1.126876369994534e-14
relative error = 3.73547919608749e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1127
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.889999999999961
y[1] (analytic) = -0.3191533603453966
y[1] (numeric) = -0.3191533603454082
absolute error = 1.160183060733289e-14
relative error = 3.635189864451705e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1037
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.899999999999961
y[1] (analytic) = -0.3365851381490426
y[1] (numeric) = -0.3365851381490546
absolute error = 1.204591981718295e-14
relative error = 3.57886265668953e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09448
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.909999999999961
y[1] (analytic) = -0.353958188697774
y[1] (numeric) = -0.3539581886977863
absolute error = 1.23789867245705e-14
relative error = 3.497301975160759e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08515
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.91999999999996
y[1] (analytic) = -0.3712668832934648
y[1] (numeric) = -0.3712668832934776
absolute error = 1.27675647831893e-14
relative error = 3.438918297783454e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07568
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.92999999999996
y[1] (analytic) = -0.3885056016047527
y[1] (numeric) = -0.3885056016047657
absolute error = 1.304512053934559e-14
relative error = 3.357768970501764e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06609
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.93999999999996
y[1] (analytic) = -0.4056687336219451
y[1] (numeric) = -0.4056687336219585
absolute error = 1.343369859796439e-14
relative error = 3.311494696183231e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0564
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.94999999999996
y[1] (analytic) = -0.422750681611774
y[1] (numeric) = -0.4227506816117877
absolute error = 1.376676550535194e-14
relative error = 3.256473875539347e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04661
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.95999999999996
y[1] (analytic) = -0.4397458620712787
y[1] (numeric) = -0.4397458620712928
absolute error = 1.415534356397075e-14
relative error = 3.218982777301563e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03676
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.969999999999959
y[1] (analytic) = -0.4566487076801026
y[1] (numeric) = -0.4566487076801171
absolute error = 1.448841047135829e-14
relative error = 3.172769401880778e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02684
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.979999999999959
y[1] (analytic) = -0.4734536692504835
y[1] (numeric) = -0.4734536692504983
absolute error = 1.476596622751458e-14
relative error = 3.118777440438963e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.989999999999959
y[1] (analytic) = -0.490155217674222
y[1] (numeric) = -0.4901552176742372
absolute error = 1.521005543736464e-14
relative error = 3.103109971885252e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.999999999999959
y[1] (analytic) = -0.5067478458659096
y[1] (numeric) = -0.5067478458659251
absolute error = 1.554312234475219e-14
relative error = 3.06723007735588e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.009999999999959
y[1] (analytic) = -0.5232260707016992
y[1] (numeric) = -0.5232260707017147
absolute error = 1.543210004228968e-14
relative error = 2.949413438362057e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.019999999999959
y[1] (analytic) = -0.539584434952901
y[1] (numeric) = -0.5395844349529169
absolute error = 1.587618925213974e-14
relative error = 2.942299336993576e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02308
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.029999999999959
y[1] (analytic) = -0.5558175092136945
y[1] (numeric) = -0.5558175092137108
absolute error = 1.620925615952729e-14
relative error = 2.916291029129011e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03301
Order of pole (three term test) = 23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.039999999999958
y[1] (analytic) = -0.5719198938222336
y[1] (numeric) = -0.5719198938222503
absolute error = 1.665334536937735e-14
relative error = 2.911831805339089e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0429
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.049999999999958
y[1] (analytic) = -0.5878862207744409
y[1] (numeric) = -0.5878862207744577
absolute error = 1.687538997430238e-14
relative error = 2.870519732895236e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05271
Order of pole (three term test) = 22.99
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.059999999999958
y[1] (analytic) = -0.6037111556297756
y[1] (numeric) = -0.6037111556297929
absolute error = 1.731947918415244e-14
relative error = 2.868835373115678e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06244
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.069999999999958
y[1] (analytic) = -0.6193893994082729
y[1] (numeric) = -0.6193893994082904
absolute error = 1.754152378907747e-14
relative error = 2.832067162569392e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07208
Order of pole (three term test) = 22.98
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.079999999999957
y[1] (analytic) = -0.6349156904781407
y[1] (numeric) = -0.6349156904781587
absolute error = 1.798561299892754e-14
relative error = 2.832756107410572e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08159
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.089999999999957
y[1] (analytic) = -0.6502848064332213
y[1] (numeric) = -0.6502848064332395
absolute error = 1.820765760385257e-14
relative error = 2.799951255776778e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09098
Order of pole (three term test) = 22.97
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.099999999999957
y[1] (analytic) = -0.6654915659596081
y[1] (numeric) = -0.6654915659596267
absolute error = 1.854072451124011e-14
relative error = 2.786019456836428e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1002
Order of pole (three term test) = 22.96
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.109999999999957
y[1] (analytic) = -0.6805308306907289
y[1] (numeric) = -0.6805308306907478
absolute error = 1.887379141862766e-14
relative error = 2.773392558786945e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1093
Order of pole (three term test) = 22.95
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.119999999999957
y[1] (analytic) = -0.6953975070501971
y[1] (numeric) = -0.6953975070502163
absolute error = 1.920685832601521e-14
relative error = 2.761997006214284e-12 %
Correct digits = 14
h = 0.01
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) = 22.94
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.129999999999956
y[1] (analytic) = -0.710086548081744
y[1] (numeric) = -0.7100865480817635
absolute error = 1.953992523340276e-14
relative error = 2.751766708746798e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1269
Order of pole (three term test) = 22.93
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.139999999999956
y[1] (analytic) = -0.7245929552655472
y[1] (numeric) = -0.724592955265567
absolute error = 1.976196983832779e-14
relative error = 2.72732017261822e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1354
Order of pole (three term test) = 22.92
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.149999999999956
y[1] (analytic) = -0.7389117803202727
y[1] (numeric) = -0.7389117803202928
absolute error = 2.009503674571533e-14
relative error = 2.719544779351789e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1437
Order of pole (three term test) = 22.91
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.159999999999956
y[1] (analytic) = -0.7530381269901552
y[1] (numeric) = -0.7530381269901756
absolute error = 2.042810365310288e-14
relative error = 2.712758215145453e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1518
Order of pole (three term test) = 22.9
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.169999999999956
y[1] (analytic) = -0.7669671528164448
y[1] (numeric) = -0.7669671528164655
absolute error = 2.076117056049043e-14
relative error = 2.706917823566704e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1596
Order of pole (three term test) = 22.89
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.179999999999955
y[1] (analytic) = -0.780694070892554
y[1] (numeric) = -0.780694070892575
absolute error = 2.098321516541546e-14
relative error = 2.687764125251485e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1672
Order of pole (three term test) = 22.87
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.189999999999955
y[1] (analytic) = -0.7942141516022431
y[1] (numeric) = -0.7942141516022644
absolute error = 2.131628207280301e-14
relative error = 2.683946392770723e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1745
Order of pole (three term test) = 22.86
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.199999999999955
y[1] (analytic) = -0.807522724340189
y[1] (numeric) = -0.8075227243402106
absolute error = 2.153832667772804e-14
relative error = 2.667209977939207e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1815
Order of pole (three term test) = 22.84
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.209999999999955
y[1] (analytic) = -0.8206151792142878
y[1] (numeric) = -0.8206151792143096
absolute error = 2.176037128265307e-14
relative error = 2.651714449577683e-12 %
Correct digits = 14
h = 0.01
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) = 22.83
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.219999999999954
y[1] (analytic) = -0.8334869687290472
y[1] (numeric) = -0.8334869687290692
absolute error = 2.209343819004062e-14
relative error = 2.650723888788575e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1947
Order of pole (three term test) = 22.81
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.229999999999954
y[1] (analytic) = -0.8461336094494316
y[1] (numeric) = -0.8461336094494539
absolute error = 2.231548279496565e-14
relative error = 2.637347405392163e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2008
Order of pole (three term test) = 22.8
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.239999999999954
y[1] (analytic) = -0.8585506836445302
y[1] (numeric) = -0.8585506836445528
absolute error = 2.253752739989068e-14
relative error = 2.625066618573912e-12 %
Correct digits = 14
h = 0.01
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) = 22.78
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.249999999999954
y[1] (analytic) = -0.8707338409104222
y[1] (numeric) = -0.870733840910445
absolute error = 2.287059430727822e-14
relative error = 2.626588428372691e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2121
Order of pole (three term test) = 22.77
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.259999999999954
y[1] (analytic) = -0.8826787997716248
y[1] (numeric) = -0.8826787997716478
absolute error = 2.298161660974074e-14
relative error = 2.603621681600007e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2172
Order of pole (three term test) = 22.75
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.269999999999953
y[1] (analytic) = -0.8943813492605128
y[1] (numeric) = -0.8943813492605361
absolute error = 2.331468351712829e-14
relative error = 2.606794465963003e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.222
Order of pole (three term test) = 22.73
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.279999999999953
y[1] (analytic) = -0.9058373504741102
y[1] (numeric) = -0.9058373504741337
absolute error = 2.353672812205332e-14
relative error = 2.598339327665649e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2265
Order of pole (three term test) = 22.71
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.289999999999953
y[1] (analytic) = -0.9170427381076556
y[1] (numeric) = -0.9170427381076794
absolute error = 2.386979502944087e-14
relative error = 2.602909770453761e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2305
Order of pole (three term test) = 22.69
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.299999999999953
y[1] (analytic) = -0.9279935219643617
y[1] (numeric) = -0.9279935219643857
absolute error = 2.398081733190338e-14
relative error = 2.584157837776839e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2342
Order of pole (three term test) = 22.68
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.309999999999953
y[1] (analytic) = -0.9386857884407844
y[1] (numeric) = -0.9386857884408086
absolute error = 2.420286193682841e-14
relative error = 2.578377369175992e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2375
Order of pole (three term test) = 22.66
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.319999999999952
y[1] (analytic) = -0.949115701987238
y[1] (numeric) = -0.9491157019872626
absolute error = 2.453592884421596e-14
relative error = 2.585135699772237e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2405
Order of pole (three term test) = 22.64
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.329999999999952
y[1] (analytic) = -0.9592795065426927
y[1] (numeric) = -0.9592795065427173
absolute error = 2.464695114667848e-14
relative error = 2.569319054412799e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2431
Order of pole (three term test) = 22.62
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.339999999999952
y[1] (analytic) = -0.9691735269436021
y[1] (numeric) = -0.9691735269436269
absolute error = 2.475797344914099e-14
relative error = 2.554544956177048e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2452
Order of pole (three term test) = 22.6
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.349999999999952
y[1] (analytic) = -0.9787941703061228
y[1] (numeric) = -0.9787941703061479
absolute error = 2.509104035652854e-14
relative error = 2.563464425690356e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.247
Order of pole (three term test) = 22.58
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.359999999999951
y[1] (analytic) = -0.9881379273811877
y[1] (numeric) = -0.9881379273812128
absolute error = 2.509104035652854e-14
relative error = 2.539224501080134e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2484
Order of pole (three term test) = 22.56
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.369999999999951
y[1] (analytic) = -0.9972013738819112
y[1] (numeric) = -0.9972013738819366
absolute error = 2.542410726391608e-14
relative error = 2.549545952282935e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2494
Order of pole (three term test) = 22.54
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.379999999999951
y[1] (analytic) = -1.005981171782816
y[1] (numeric) = -1.005981171782842
absolute error = 2.575717417130363e-14
relative error = 2.560403205723657e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.25
Order of pole (three term test) = 22.52
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.389999999999951
y[1] (analytic) = -1.014474070590372
y[1] (numeric) = -1.014474070590398
absolute error = 2.575717417130363e-14
relative error = 2.538968212003119e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2502
Order of pole (three term test) = 22.5
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.399999999999951
y[1] (analytic) = -1.022676908584356
y[1] (numeric) = -1.022676908584381
absolute error = 2.575717417130363e-14
relative error = 2.518603280772037e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.25
Order of pole (three term test) = 22.48
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.40999999999995
y[1] (analytic) = -1.03058661402955
y[1] (numeric) = -1.030586614029576
absolute error = 2.597921877622866e-14
relative error = 2.520818572895199e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2494
Order of pole (three term test) = 22.46
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.41999999999995
y[1] (analytic) = -1.038200206357309
y[1] (numeric) = -1.038200206357335
absolute error = 2.620126338115369e-14
relative error = 2.523719723875322e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2484
Order of pole (three term test) = 22.44
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.42999999999995
y[1] (analytic) = -1.045514797316521
y[1] (numeric) = -1.045514797316547
absolute error = 2.620126338115369e-14
relative error = 2.506063371690518e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.247
Order of pole (three term test) = 22.42
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.43999999999995
y[1] (analytic) = -1.052527592093532
y[1] (numeric) = -1.052527592093559
absolute error = 2.620126338115369e-14
relative error = 2.489365939475089e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2452
Order of pole (three term test) = 22.4
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.44999999999995
y[1] (analytic) = -1.059235890400573
y[1] (numeric) = -1.059235890400599
absolute error = 2.642330798607873e-14
relative error = 2.494563130417171e-12 %
Correct digits = 14
h = 0.01
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) = 22.38
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.459999999999949
y[1] (analytic) = -1.065637087532273
y[1] (numeric) = -1.0656370875323
absolute error = 2.664535259100376e-14
relative error = 2.500415282345998e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2404
Order of pole (three term test) = 22.36
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.469999999999949
y[1] (analytic) = -1.071728675389843
y[1] (numeric) = -1.071728675389869
absolute error = 2.686739719592879e-14
relative error = 2.506921557002825e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2374
Order of pole (three term test) = 22.34
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.479999999999949
y[1] (analytic) = -1.07750824347251
y[1] (numeric) = -1.077508243472537
absolute error = 2.686739719592879e-14
relative error = 2.493474862831919e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2341
Order of pole (three term test) = 22.32
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.489999999999949
y[1] (analytic) = -1.082973479835829
y[1] (numeric) = -1.082973479835857
absolute error = 2.708944180085382e-14
relative error = 2.501394752986968e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2304
Order of pole (three term test) = 22.31
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.499999999999948
y[1] (analytic) = -1.088122172016472
y[1] (numeric) = -1.0881221720165
absolute error = 2.708944180085382e-14
relative error = 2.489558847114801e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2263
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) = -1.09295220792313
y[1] (numeric) = -1.092952207923158
absolute error = 2.731148640577885e-14
relative error = 2.498872888291903e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2219
Order of pole (three term test) = 22.27
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.519999999999948
y[1] (analytic) = -1.097461576693179
y[1] (numeric) = -1.097461576693206
absolute error = 2.753353101070388e-14
relative error = 2.508837812223611e-12 %
Correct digits = 14
h = 0.01
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) = 22.25
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.529999999999948
y[1] (analytic) = -1.101648369514749
y[1] (numeric) = -1.101648369514777
absolute error = 2.753353101070388e-14
relative error = 2.499303023779881e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2119
Order of pole (three term test) = 22.23
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.539999999999948
y[1] (analytic) = -1.105510780413882
y[1] (numeric) = -1.105510780413909
absolute error = 2.753353101070388e-14
relative error = 2.490571010116777e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2064
Order of pole (three term test) = 22.22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.549999999999947
y[1] (analytic) = -1.109047107006435
y[1] (numeric) = -1.109047107006463
absolute error = 2.775557561562891e-14
relative error = 2.502650738664057e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.2006
Order of pole (three term test) = 22.2
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.559999999999947
y[1] (analytic) = -1.112255751214448
y[1] (numeric) = -1.112255751214476
absolute error = 2.797762022055394e-14
relative error = 2.515394520550312e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1945
Order of pole (three term test) = 22.19
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.569999999999947
y[1] (analytic) = -1.115135219946657
y[1] (numeric) = -1.115135219946685
absolute error = 2.797762022055394e-14
relative error = 2.508899344233094e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1881
Order of pole (three term test) = 22.17
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.579999999999947
y[1] (analytic) = -1.117684125742889
y[1] (numeric) = -1.117684125742916
absolute error = 2.775557561562891e-14
relative error = 2.483311248352988e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1813
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.589999999999947
y[1] (analytic) = -1.11990118738206
y[1] (numeric) = -1.119901187382088
absolute error = 2.797762022055394e-14
relative error = 2.498222212439644e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1743
Order of pole (three term test) = 22.14
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.599999999999946
y[1] (analytic) = -1.121785230453531
y[1] (numeric) = -1.121785230453559
absolute error = 2.797762022055394e-14
relative error = 2.494026437595613e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.167
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.609999999999946
y[1] (analytic) = -1.123335187891562
y[1] (numeric) = -1.12333518789159
absolute error = 2.797762022055394e-14
relative error = 2.490585225329439e-12 %
Correct digits = 14
h = 0.01
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) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.619999999999946
y[1] (analytic) = -1.124550100472658
y[1] (numeric) = -1.124550100472687
absolute error = 2.819966482547898e-14
relative error = 2.507639705303161e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1515
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.629999999999946
y[1] (analytic) = -1.125429117275579
y[1] (numeric) = -1.125429117275608
absolute error = 2.819966482547898e-14
relative error = 2.505681112440406e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1435
Order of pole (three term test) = 22.09
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.639999999999946
y[1] (analytic) = -1.125971496103812
y[1] (numeric) = -1.125971496103841
absolute error = 2.819966482547898e-14
relative error = 2.504474129501323e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1352
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.649999999999945
y[1] (analytic) = -1.126176603870324
y[1] (numeric) = -1.126176603870352
absolute error = 2.819966482547898e-14
relative error = 2.504017995806818e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1266
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.659999999999945
y[1] (analytic) = -1.126043916944419
y[1] (numeric) = -1.126043916944448
absolute error = 2.842170943040401e-14
relative error = 2.524032056185503e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1179
Order of pole (three term test) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.669999999999945
y[1] (analytic) = -1.125573021460541
y[1] (numeric) = -1.125573021460569
absolute error = 2.819966482547898e-14
relative error = 2.505360761835527e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.109
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.679999999999945
y[1] (analytic) = -1.12476361358887
y[1] (numeric) = -1.124763613588898
absolute error = 2.819966482547898e-14
relative error = 2.50716368175355e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09992
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.689999999999944
y[1] (analytic) = -1.123615499767591
y[1] (numeric) = -1.123615499767619
absolute error = 2.819966482547898e-14
relative error = 2.50972550942131e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09068
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.699999999999944
y[1] (analytic) = -1.122128596896712
y[1] (numeric) = -1.12212859689674
absolute error = 2.819966482547898e-14
relative error = 2.513051080194034e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08129
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.709999999999944
y[1] (analytic) = -1.12030293249332
y[1] (numeric) = -1.120302932493348
absolute error = 2.819966482547898e-14
relative error = 2.517146390281998e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07177
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.719999999999944
y[1] (analytic) = -1.118138644808202
y[1] (numeric) = -1.11813864480823
absolute error = 2.819966482547898e-14
relative error = 2.522018620536648e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06213
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.729999999999944
y[1] (analytic) = -1.115635982903737
y[1] (numeric) = -1.115635982903765
absolute error = 2.797762022055394e-14
relative error = 2.507773202844785e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0524
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.739999999999943
y[1] (analytic) = -1.112795306693019
y[1] (numeric) = -1.112795306693047
absolute error = 2.797762022055394e-14
relative error = 2.514174893826362e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04258
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.749999999999943
y[1] (analytic) = -1.109617086940138
y[1] (numeric) = -1.109617086940166
absolute error = 2.797762022055394e-14
relative error = 2.521376117026511e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03269
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.759999999999943
y[1] (analytic) = -1.106101905221615
y[1] (numeric) = -1.106101905221643
absolute error = 2.753353101070388e-14
relative error = 2.489239995042532e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02276
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.769999999999943
y[1] (analytic) = -1.102250453848946
y[1] (numeric) = -1.102250453848974
absolute error = 2.753353101070388e-14
relative error = 2.497937824798311e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01278
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.779999999999943
y[1] (analytic) = -1.098063535752273
y[1] (numeric) = -1.098063535752301
absolute error = 2.731148640577885e-14
relative error = 2.487240994399108e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.789999999999942
y[1] (analytic) = -1.093542064325179
y[1] (numeric) = -1.093542064325206
absolute error = 2.731148640577885e-14
relative error = 2.4975249966843e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.799999999999942
y[1] (analytic) = -1.088687063230634
y[1] (numeric) = -1.088687063230661
absolute error = 2.731148640577885e-14
relative error = 2.508662712013235e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0172
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.809999999999942
y[1] (analytic) = -1.083499666168136
y[1] (numeric) = -1.083499666168163
absolute error = 2.731148640577885e-14
relative error = 2.520673264475256e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02716
Order of pole (three term test) = 22
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.819999999999942
y[1] (analytic) = -1.077981116602098
y[1] (numeric) = -1.077981116602125
absolute error = 2.708944180085382e-14
relative error = 2.512979252015321e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03707
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.829999999999941
y[1] (analytic) = -1.072132767451543
y[1] (numeric) = -1.07213276745157
absolute error = 2.708944180085382e-14
relative error = 2.526687237182887e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04693
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.839999999999941
y[1] (analytic) = -1.065956080741199
y[1] (numeric) = -1.065956080741225
absolute error = 2.664535259100376e-14
relative error = 2.499667019346262e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05671
Order of pole (three term test) = 22.01
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.849999999999941
y[1] (analytic) = -1.059452627214079
y[1] (numeric) = -1.059452627214106
absolute error = 2.664535259100376e-14
relative error = 2.515011233779275e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0664
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.859999999999941
y[1] (analytic) = -1.052624085905676
y[1] (numeric) = -1.052624085905702
absolute error = 2.664535259100376e-14
relative error = 2.531326515113717e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07599
Order of pole (three term test) = 22.02
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.869999999999941
y[1] (analytic) = -1.045472243679865
y[1] (numeric) = -1.045472243679892
absolute error = 2.642330798607873e-14
relative error = 2.52740406508294e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08545
Order of pole (three term test) = 22.03
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.87999999999994
y[1] (analytic) = -1.037998994726689
y[1] (numeric) = -1.037998994726716
absolute error = 2.642330798607873e-14
relative error = 2.545600537217873e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09478
Order of pole (three term test) = 22.04
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.88999999999994
y[1] (analytic) = -1.030206340022153
y[1] (numeric) = -1.030206340022179
absolute error = 2.597921877622866e-14
relative error = 2.521749067829461e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.104
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.89999999999994
y[1] (analytic) = -1.022096386750204
y[1] (numeric) = -1.02209638675023
absolute error = 2.597921877622866e-14
relative error = 2.541758205293202e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.113
Order of pole (three term test) = 22.05
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.90999999999994
y[1] (analytic) = -1.013671347687086
y[1] (numeric) = -1.013671347687112
absolute error = 2.575717417130363e-14
relative error = 2.540978812321596e-12 %
Correct digits = 14
h = 0.01
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) = 22.06
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.91999999999994
y[1] (analytic) = -1.004933540548245
y[1] (numeric) = -1.004933540548271
absolute error = 2.575717417130363e-14
relative error = 2.563072395538884e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1304
Order of pole (three term test) = 22.07
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.929999999999939
y[1] (analytic) = -0.995885387298018
y[1] (numeric) = -0.9958853872980433
absolute error = 2.531308496145357e-14
relative error = 2.541766882445344e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1389
Order of pole (three term test) = 22.08
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.939999999999939
y[1] (analytic) = -0.9865294134223039
y[1] (numeric) = -0.986529413422329
absolute error = 2.509104035652854e-14
relative error = 2.543364649360719e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1471
Order of pole (three term test) = 22.1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.949999999999939
y[1] (analytic) = -0.9768682471644742
y[1] (numeric) = -0.976868247164499
absolute error = 2.486899575160351e-14
relative error = 2.54578811664623e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.155
Order of pole (three term test) = 22.11
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.959999999999939
y[1] (analytic) = -0.9669046187247592
y[1] (numeric) = -0.9669046187247838
absolute error = 2.464695114667848e-14
relative error = 2.549057132355525e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1627
Order of pole (three term test) = 22.12
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.969999999999938
y[1] (analytic) = -0.956641359423381
y[1] (numeric) = -0.9566413594234054
absolute error = 2.442490654175344e-14
relative error = 2.553193660419997e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1702
Order of pole (three term test) = 22.13
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.979999999999938
y[1] (analytic) = -0.9460814008277074
y[1] (numeric) = -0.9460814008277317
absolute error = 2.431388423929093e-14
relative error = 2.569956899905146e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1774
Order of pole (three term test) = 22.15
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.989999999999938
y[1] (analytic) = -0.93522777384372
y[1] (numeric) = -0.9352277738437439
absolute error = 2.386979502944087e-14
relative error = 2.552297493405023e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1843
Order of pole (three term test) = 22.16
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.999999999999938
y[1] (analytic) = -0.9240836077720962
y[1] (numeric) = -0.92408360777212
absolute error = 2.375877272697835e-14
relative error = 2.571063108051355e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1909
Order of pole (three term test) = 22.18
NO COMPLEX POLE (six term test) for Equation 1
Finished!
diff ( y , x , 1 ) = sin ( 2.0 * x + 3.0 ) + cos ( 1.5 * x - 2.0 ) ;
Iterations = 491
Total Elapsed Time = 0.0 Seconds
Elapsed Time(since restart) = 0.0 Seconds
Time to Timeout = 30 Minutes 0.0 Seconds
Percent Done = 100.4 %