##############ECHO OF PROBLEM#################
##############temp/arctan_sqrtpostode.ode#################
diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));
!
/* BEGIN FIRST INPUT BLOCK */
Digits = 32;
max_terms = 30;
!
/* END FIRST INPUT BLOCK */
/* BEGIN SECOND INPUT BLOCK */
x_start = 0.1;
x_end = 0.5 ;
array_y_init[0 + 1] = exact_soln_y(x_start);
glob_h =    0.05;
glob_look_poles = true;
glob_max_iter = 1000000;
/* END SECOND INPUT BLOCK */
/* BEGIN OVERRIDE  BLOCK */
glob_h = 0.005 ;
glob_display_interval = 0.1;
glob_look_poles = true;
glob_max_iter = 10000;
glob_max_minutes = 10;
/* END OVERRIDE BLOCK */
!
/* BEGIN USER DEF BLOCK */
double exact_soln_y (double x) { 
return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x +
0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2)));
}
/* END USER DEF BLOCK */
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1]                              = 0.1                                          
y[1] (analytic)                   = 0.6167902654763967                           
y[1] (numeric)                    = 0.6167902654763967                           
absolute error                    = 0                                            
relative error                    = 0                                          % 
Correct digits                    = 16                                  
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.2000000000000001                           
y[1] (analytic)                   = 0.6602063571030989                           
y[1] (numeric)                    = 0.6602063571030993                           
absolute error                    = 3.33066907387547e-16                         
relative error                    = 5.044890946657981e-14                      % 
Correct digits                    = 15                                  
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.3000000000000002                           
y[1] (analytic)                   = 0.7044963719892491                           
y[1] (numeric)                    = 0.7044963719892502                           
absolute error                    = 1.110223024625157e-15                        
relative error                    = 1.575910208721556e-13                      % 
Correct digits                    = 14                                  
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.4000000000000002                           
y[1] (analytic)                   = 0.7496341409653187                           
y[1] (numeric)                    = 0.7496341409653199                           
absolute error                    = 1.221245327087672e-15                        
relative error                    = 1.629121808026313e-13                      % 
Correct digits                    = 14                                  
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.5000000000000003                           
y[1] (analytic)                   = 0.795595112510077                            
y[1] (numeric)                    = 0.7955951125100781                           
absolute error                    = 1.110223024625157e-15                        
relative error                    = 1.395462349086634e-13                      % 
Correct digits                    = 14                                  
h                                 = 0.005                                        
Finished!
diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));
Iterations                        = 80                                  
Total Elapsed Time               = 6 Seconds
Elapsed Time(since restart)      = 6 Seconds
Time to Timeout                  = 9 Minutes 54 Seconds
Percent Done                     = 101.3                                      %