##############ECHO OF PROBLEM#################
##############temp/expt_sin_cpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   expt ( sin ( 0.2  *  x  +  0.3 )   ,  2.0 )  ; 
!
/* BEGIN FIRST INPUT BLOCK */
Digits=32;
max_terms=40;
!
/* 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;
/* 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);


/* END OVERRIDE BLOCK */
!
/* BEGIN USER DEF BLOCK */
double exact_soln_y (double x) { 

return(c(-2.5000000000000000000000000000000)*sin(c(0.20000000000000000000000000000000)*c(x)+c(0.30000000000000000000000000000000))*cos(c(0.20000000000000000000000000000000)*c(x)+c(0.30000000000000000000000000000000))+c(0.50000000000000000000000000000000)*c(x)+c(0.75000000000000000000000000000000));
}
/* END USER DEF BLOCK */
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
TOP MAIN SOLVE Loop
x[1]                              = 0.1                                          
y[1] (closed_form)                = 0.05350569829701002                          
y[1] (numeric)                    = 0.05350569829701002                          
absolute error                    = 0                                            
relative error                    = 0                                          % 
Desired digits                    = 8                                   
Estimated correct digits          = 13                                  
Correct digits                    = 16                                  
h                                 = 0.05                                         
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq  1       = 1.702                                        
Order of pole (ratio test)                         = 1                                            
Radius of convergence (three term test) for eq 1   = 1.6                                          
Order of pole (three term test)                    = 1.101                                        
NO COMPLEX POLE (six term test) for Equation 1
Finished!
diff  (  y  ,  x  ,  1  )   =   expt ( sin ( 0.2  *  x  +  0.3 )   ,  2.0 )  ; 
Iterations                       = 2                                   
Total Elapsed Time               = 0.0 Seconds
Elapsed Time(since restart)      = 0.0 Seconds
Time to Timeout                  = 20 Minutes 0.0 Seconds
Percent Done                     = 150                                        %