Initializing...
Initialized
Initializing(2)...
PI = 0.3141592653589793238462643383279486e1+/-0.313e-31
E = 0.2718281828459045235360287471352649e1+/-0.256e-30
LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30
Initialized(2)
##############ECHO OF PROBLEM#################
##############temp/mult_c_linpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   2.0  *   (  0.2  *  x  +  0.3  )   ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(5.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
$glob_type_given_pole=3 
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE  BLOCK
$glob_desired_digits_correct=8 
$glob_max_minutes=(20.0) 
$glob_subiter_method=3 
$glob_max_iter=1000 
$glob_upper_ratio_limit=c(1.11) 
$glob_lower_ratio_limit=c(0.99) 
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
x = c(x)
return(c(0.2) * c(x) * c(x) + c(0.6) * c(x)) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1e0+/-0.50e-31 
y[1] (closed_form)               0.62e-1+/-0.375e-31 
y[1] (numeric)                   0.62e-1+/-0.437e-31 
absolute error                   0.0e0+/-0.812e-31 
relative error                   0.0e0+/-0.1309677419354838709677419354840293e-27%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.2e0+/-0.5e-31 
y[1] (closed_form)               0.128e0+/-0.46e-31 
y[1] (numeric)                   0.128e0+/-0.106e-30 
absolute error                   0.0e0+/-0.152e-30 
relative error                   0.0e0+/-0.1187500000000000000000000000000853e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.3e0+/-0.5e-31 
y[1] (closed_form)               0.198e0+/-0.555e-31 
y[1] (numeric)                   0.198e0+/-0.194e-30 
absolute error                   0.0e0+/-0.2495e-30 
relative error                   0.0e0+/-0.1260101010101010101010101010101716e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.4e0+/-0.5e-31 
y[1] (closed_form)               0.272e0+/-0.660e-31 
y[1] (numeric)                   0.272e0+/-0.31e-30 
absolute error                   0.0e0+/-0.3760e-30 
relative error                   0.0e0+/-0.1382352941176470588235294117647729e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.5e0+/-0.5e-31 
y[1] (closed_form)               0.35e0+/-0.775e-31 
y[1] (numeric)                   0.35e0+/-0.459e-30 
absolute error                   0.0e0+/-0.5365e-30 
relative error                   0.0e0+/-0.1532857142857142857142857142857821e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.6e0+/-0.5e-31 
y[1] (closed_form)               0.432e0+/-0.900e-31 
y[1] (numeric)                   0.432e0+/-0.642e-30 
absolute error                   0.0e0+/-0.7320e-30 
relative error                   0.0e0+/-0.169444444444444444444444444444515e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.7e0+/-0.5e-31 
y[1] (closed_form)               0.518e0+/-0.103e-30 
y[1] (numeric)                   0.518e0+/-0.858e-30 
absolute error                   0.0e0+/-0.961e-30 
relative error                   0.0e0+/-0.1855212355212355212355212355213092e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.8e0+/-0.5e-31 
y[1] (closed_form)               0.608e0+/-0.118e-30 
y[1] (numeric)                   0.608e0+/-0.109e-29 
absolute error                   0.0e0+/-0.1208e-29 
relative error                   0.0e0+/-0.1986842105263157894736842105263929e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.9e0+/-0.5e-31 
y[1] (closed_form)               0.702e0+/-0.133e-30 
y[1] (numeric)                   0.702e0+/-0.135e-29 
absolute error                   0.0e0+/-0.1483e-29 
relative error                   0.0e0+/-0.2112535612535612535612535612536413e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.1e1+/-0.5e-31 
y[1] (closed_form)               0.8e0+/-0.150e-30 
y[1] (numeric)                   0.8e0+/-0.163e-29 
absolute error                   0.0e0+/-0.1780e-29 
relative error                   0.0e0+/-0.2225000000000000000000000000000834e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.11e1+/-0.5e-31 
y[1] (closed_form)               0.902e0+/-0.167e-30 
y[1] (numeric)                   0.902e0+/-0.198e-29 
absolute error                   0.0e0+/-0.2147e-29 
relative error                   0.0e0+/-0.2380266075388026607538802660754761e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.12e1+/-0.5e-31 
y[1] (closed_form)               0.1008e1+/-0.186e-30 
y[1] (numeric)                   0.1008e1+/-0.236e-29 
absolute error                   0.0e0+/-0.2546e-29 
relative error                   0.0e0+/-0.2525793650793650793650793650794582e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.13e1+/-0.5e-31 
y[1] (closed_form)               0.1118e1+/-0.205e-30 
y[1] (numeric)                   0.1118e1+/-0.28e-29 
absolute error                   0.0e0+/-0.3005e-29 
relative error                   0.0e0+/-0.2687835420393559928443649373882917e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.14e1+/-0.5e-31 
y[1] (closed_form)               0.1232e1+/-0.226e-30 
y[1] (numeric)                   0.1232e1+/-0.326e-29 
absolute error                   0.0e0+/-0.3486e-29 
relative error                   0.0e0+/-0.2829545454545454545454545454546492e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.15e1+/-0.5e-31 
y[1] (closed_form)               0.135e1+/-0.247e-30 
y[1] (numeric)                   0.135e1+/-0.378e-29 
absolute error                   0.0e0+/-0.4027e-29 
relative error                   0.0e0+/-0.2982962962962962962962962962964054e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.16e1+/-0.5e-31 
y[1] (closed_form)               0.1472e1+/-0.27e-30 
y[1] (numeric)                   0.1472e1+/-0.436e-29 
absolute error                   0.0e0+/-0.463e-29 
relative error                   0.0e0+/-0.3145380434782608695652173913044632e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.17e1+/-0.5e-31 
y[1] (closed_form)               0.1598e1+/-0.293e-30 
y[1] (numeric)                   0.1598e1+/-0.496e-29 
absolute error                   0.0e0+/-0.5253e-29 
relative error                   0.0e0+/-0.3287234042553191489361702127660779e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.18e1+/-0.5e-31 
y[1] (closed_form)               0.1728e1+/-0.318e-30 
y[1] (numeric)                   0.1728e1+/-0.562e-29 
absolute error                   0.0e0+/-0.5938e-29 
relative error                   0.0e0+/-0.3436342592592592592592592592593857e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.19e1+/-0.5e-31 
y[1] (closed_form)               0.1862e1+/-0.343e-30 
y[1] (numeric)                   0.1862e1+/-0.632e-29 
absolute error                   0.0e0+/-0.6663e-29 
relative error                   0.0e0+/-0.3578410311493018259935553168637193e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.2e1+/-0.5e-31 
y[1] (closed_form)               0.2e1+/-0.370e-30 
y[1] (numeric)                   0.2e1+/-0.71e-29 
absolute error                   0.0e0+/-0.7470e-29 
relative error                   0.0e0+/-0.3735000000000000000000000000001381e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               0.2142e1+/-0.397e-30 
y[1] (numeric)                   0.2142e1+/-0.794e-29 
absolute error                   0.0e0+/-0.8337e-29 
relative error                   0.0e0+/-0.3892156862745098039215686274511246e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               0.2288e1+/-0.426e-30 
y[1] (numeric)                   0.2288e1+/-0.884e-29 
absolute error                   0.0e0+/-0.9266e-29 
relative error                   0.0e0+/-0.4049825174825174825174825174826682e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               0.2438e1+/-0.455e-30 
y[1] (numeric)                   0.2438e1+/-0.98e-29 
absolute error                   0.0e0+/-0.10255e-28 
relative error                   0.0e0+/-0.4206316652994257588187038556195171e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.24e1+/-0.5e-31 
y[1] (closed_form)               0.2592e1+/-0.486e-30 
y[1] (numeric)                   0.2592e1+/-0.106e-28 
absolute error                   0.0e0+/-0.11086e-28 
relative error                   0.0e0+/-0.427700617283950617283950617284111e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.25e1+/-0.5e-31 
y[1] (closed_form)               0.275e1+/-0.517e-30 
y[1] (numeric)                   0.275e1+/-0.114e-28 
absolute error                   0.0e0+/-0.11917e-28 
relative error                   0.0e0+/-0.4333454545454545454545454545456174e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               0.2912e1+/-0.55e-30 
y[1] (numeric)                   0.2912e1+/-0.122e-28 
absolute error                   0.0e0+/-0.1275e-28 
relative error                   0.0e0+/-0.4378434065934065934065934065935719e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.27e1+/-0.5e-31 
y[1] (closed_form)               0.3078e1+/-0.583e-30 
y[1] (numeric)                   0.3078e1+/-0.13e-28 
absolute error                   0.0e0+/-0.13583e-28 
relative error                   0.0e0+/-0.4412930474333983105912930474335654e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.28e1+/-0.5e-31 
y[1] (closed_form)               0.3248e1+/-0.618e-30 
y[1] (numeric)                   0.3248e1+/-0.138e-28 
absolute error                   0.0e0+/-0.14418e-28 
relative error                   0.0e0+/-0.4439039408866995073891625615765236e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               0.3422e1+/-0.653e-30 
y[1] (numeric)                   0.3422e1+/-0.146e-28 
absolute error                   0.0e0+/-0.15253e-28 
relative error                   0.0e0+/-0.4457334891876095850379894798365231e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.3e1+/-0.5e-31 
y[1] (closed_form)               0.36e1+/-0.690e-30 
y[1] (numeric)                   0.36e1+/-0.154e-28 
absolute error                   0.0e0+/-0.16090e-28 
relative error                   0.0e0+/-0.4469444444444444444444444444446157e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.31e1+/-0.5e-31 
y[1] (closed_form)               0.3782e1+/-0.727e-30 
y[1] (numeric)                   0.3782e1+/-0.162e-28 
absolute error                   0.0e0+/-0.16927e-28 
relative error                   0.0e0+/-0.4475674246430460074034902168166712e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.32e1+/-0.5e-31 
y[1] (closed_form)               0.3968e1+/-0.766e-30 
y[1] (numeric)                   0.3968e1+/-0.17e-28 
absolute error                   0.0e0+/-0.17766e-28 
relative error                   0.0e0+/-0.4477318548387096774193548387098502e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.33e1+/-0.5e-31 
y[1] (closed_form)               0.4158e1+/-0.805e-30 
y[1] (numeric)                   0.4158e1+/-0.184e-28 
absolute error                   0.0e0+/-0.19205e-28 
relative error                   0.0e0+/-0.4618807118807118807118807118808907e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.34e1+/-0.5e-31 
y[1] (closed_form)               0.4352e1+/-0.846e-30 
y[1] (numeric)                   0.4352e1+/-0.2e-28 
absolute error                   0.0e0+/-0.20846e-28 
relative error                   0.0e0+/-0.4789981617647058823529411764707744e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.35e1+/-0.5e-31 
y[1] (closed_form)               0.455e1+/-0.887e-30 
y[1] (numeric)                   0.455e1+/-0.216e-28 
absolute error                   0.0e0+/-0.22487e-28 
relative error                   0.0e0+/-0.4942197802197802197802197802199729e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.36e1+/-0.5e-31 
y[1] (closed_form)               0.4752e1+/-0.93e-30 
y[1] (numeric)                   0.4752e1+/-0.232e-28 
absolute error                   0.0e0+/-0.2413e-28 
relative error                   0.0e0+/-0.507786195286195286195286195286394e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.37e1+/-0.5e-31 
y[1] (closed_form)               0.4958e1+/-0.973e-30 
y[1] (numeric)                   0.4958e1+/-0.248e-28 
absolute error                   0.0e0+/-0.25773e-28 
relative error                   0.0e0+/-0.5198265429608713190802743041551052e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.38e1+/-0.5e-31 
y[1] (closed_form)               0.5168e1+/-0.101e-29 
y[1] (numeric)                   0.5168e1+/-0.264e-28 
absolute error                   0.0e0+/-0.2741e-28 
relative error                   0.0e0+/-0.5303792569659442724458204334367398e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.39e1+/-0.5e-31 
y[1] (closed_form)               0.5382e1+/-0.106e-29 
y[1] (numeric)                   0.5382e1+/-0.28e-28 
absolute error                   0.0e0+/-0.2906e-28 
relative error                   0.0e0+/-0.5399479747305834262356001486438395e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.4e1+/-0.5e-31 
y[1] (closed_form)               0.56e1+/-0.111e-29 
y[1] (numeric)                   0.56e1+/-0.296e-28 
absolute error                   0.0e0+/-0.3071e-28 
relative error                   0.0e0+/-0.5483928571428571428571428571430745e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.41e1+/-0.5e-31 
y[1] (closed_form)               0.5822e1+/-0.115e-29 
y[1] (numeric)                   0.5822e1+/-0.312e-28 
absolute error                   0.0e0+/-0.3235e-28 
relative error                   0.0e0+/-0.55565097904500171762281003091743e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.42e1+/-0.5e-31 
y[1] (closed_form)               0.6048e1+/-0.12e-29 
y[1] (numeric)                   0.6048e1+/-0.33e-28 
absolute error                   0.0e0+/-0.342e-28 
relative error                   0.0e0+/-0.5654761904761904761904761904764148e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.43e1+/-0.5e-31 
y[1] (closed_form)               0.6278e1+/-0.125e-29 
y[1] (numeric)                   0.6278e1+/-0.354e-28 
absolute error                   0.0e0+/-0.3665e-28 
relative error                   0.0e0+/-0.5837846447913348200063714558779005e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.44e1+/-0.5e-31 
y[1] (closed_form)               0.6512e1+/-0.130e-29 
y[1] (numeric)                   0.6512e1+/-0.378e-28 
absolute error                   0.0e0+/-0.3910e-28 
relative error                   0.0e0+/-0.6004299754299754299754299754302151e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.45e1+/-0.5e-31 
y[1] (closed_form)               0.675e1+/-0.135e-29 
y[1] (numeric)                   0.675e1+/-0.402e-28 
absolute error                   0.0e0+/-0.4155e-28 
relative error                   0.0e0+/-0.6155555555555555555555555555558017e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               0.6992e1+/-0.141e-29 
y[1] (numeric)                   0.6992e1+/-0.426e-28 
absolute error                   0.0e0+/-0.4401e-28 
relative error                   0.0e0+/-0.6294336384439359267734553775746245e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               0.7238e1+/-0.145e-29 
y[1] (numeric)                   0.7238e1+/-0.45e-28 
absolute error                   0.0e0+/-0.4645e-28 
relative error                   0.0e0+/-0.6417518651561204752694114396244627e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               0.7488e1+/-0.151e-29 
y[1] (numeric)                   0.7488e1+/-0.474e-28 
absolute error                   0.0e0+/-0.4891e-28 
relative error                   0.0e0+/-0.6531784188034188034188034188036822e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.49e1+/-0.5e-31 
y[1] (closed_form)               0.7742e1+/-0.156e-29 
y[1] (numeric)                   0.7742e1+/-0.498e-28 
absolute error                   0.0e0+/-0.5136e-28 
relative error                   0.0e0+/-0.6633944717127357272022733143893141e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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
Finished!
diff  (  y  ,  x  ,  1  )   =   2.0  *   (  0.2  *  x  +  0.3  )   ; 
Iterations                      98 
Total Elapsed Time              42 Seconds
Elapsed Time(since restart)     42 Seconds
Time to Timeout                 19 Minutes 18 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%