##############ECHO OF PROBLEM#################
##############temp/expt_sin_linpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   expt  ( sin ( x )   ,   ( 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(0.2) 
$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=0 
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE  BLOCK
$glob_desired_digits_correct=8 
$glob_max_minutes=(3.0) 
$glob_subiter_method=3 
$glob_max_iter=100000 
$glob_upper_ratio_limit=c(1.000001) 
$glob_lower_ratio_limit=c(0.999999) 
$glob_look_poles=false 
$glob_h=c(0.001) 
$glob_display_interval=c(0.01) 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
x = c(x)
return(c(0.0)) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1 
y[1] (closed_form)               0.0 
y[1] (numeric)                   0.0 
absolute error                   0.0 
relative error                   -1%
Desired digits                   8 
Estimated correct digits         -16 
Correct digits                   -16 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.11000000000000001 
y[1] (closed_form)               0.0 
y[1] (numeric)                   0.004846691733794594 
absolute error                   0.004846691733794594 
relative error                   -1%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.12000000000000002 
y[1] (closed_form)               0.0 
y[1] (numeric)                   0.009815701767734043 
absolute error                   0.009815701767734043 
relative error                   -1%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.13000000000000003 
y[1] (closed_form)               0.0 
y[1] (numeric)                   0.014898536642268133 
absolute error                   0.014898536642268133 
relative error                   -1%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.14000000000000004 
y[1] (closed_form)               0.0 
y[1] (numeric)                   0.020088554029123528 
absolute error                   0.020088554029123528 
relative error                   -1%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.15000000000000005 
y[1] (closed_form)               0.0 
y[1] (numeric)                   0.025379982958036375 
absolute error                   0.025379982958036375 
relative error                   -1%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.16000000000000006 
y[1] (closed_form)               0.0 
y[1] (numeric)                   0.03076776214168334 
absolute error                   0.03076776214168334 
relative error                   -1%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.17000000000000007 
y[1] (closed_form)               0.0 
y[1] (numeric)                   0.03624741637452513 
absolute error                   0.03624741637452513 
relative error                   -1%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.18000000000000008 
y[1] (closed_form)               0.0 
y[1] (numeric)                   0.041814960316131085 
absolute error                   0.041814960316131085 
relative error                   -1%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.19000000000000009 
y[1] (closed_form)               0.0 
y[1] (numeric)                   0.04746682240269027 
absolute error                   0.04746682240269027 
relative error                   -1%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.001 
Finished!
diff  (  y  ,  x  ,  1  )   =   expt  ( sin ( x )   ,   ( 0.2  *  x  +  0.3 )  )  ; 
Iterations                      100 
Total Elapsed Time              0 Seconds
Elapsed Time(since restart)     0 Seconds
Time to Timeout                 3 Minutes 0.0 Seconds
Percent Done                    101.00000000000009%