##############ECHO OF PROBLEM#################
##############temp/h5h3postode.ode#################
diff  (  y  ,  x  ,  5  )   =  m1  *  diff  (  y  ,  x  ,  3 )   ; 
!
/* BEGIN FIRST INPUT BLOCK */
Digits=64;
max_terms=40;
!
/* END FIRST INPUT BLOCK */
/* BEGIN SECOND INPUT BLOCK */
x_start=c(0.1);
x_end=c(1.5);



array_y_init[0 + 1] = exact_soln_y(x_start);
array_y_init[1 + 1] = exact_soln_yp(x_start);
array_y_init[2 + 1] = exact_soln_ypp(x_start);
array_y_init[3 + 1] = exact_soln_yppp(x_start);
array_y_init[4 + 1] = exact_soln_ypppp(x_start);
glob_look_poles=true;







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);


/* END OVERRIDE BLOCK */
!
/* BEGIN USER DEF BLOCK */
double exact_soln_y (double x) { 
return(cos(c(x)));
}
double exact_soln_yp (double x) { 
return(glob__m1 * sin(c(x)));
}
double exact_soln_ypp (double x) { 
return(glob__m1 * cos(c(x)));
}
double exact_soln_yppp (double x) { 
return(sin(x));
}
double exact_soln_ypppp (double x) { 
return(cos(c(x)));
}
/* END USER DEF BLOCK */
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
TOP MAIN SOLVE Loop
x[1]                              = 0.1                                          
y[1] (closed_form)                = 0.9950041652780258                           
y[1] (numeric)                    = 0.9950041652780258                           
absolute error                    = 0                                            
relative error                    = 0                                          % 
Desired digits                    = 8                                   
Estimated correct digits          = 14                                  
Correct digits                    = 16                                  
h                                 = 0.05                                         
SETTING H FOR POLE
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1   = 0.009373                                     
Order of pole (three term test)                    = 33                                           
NO COMPLEX POLE (six term test) for Equation 1
SETTING H FOR POLE
SETTING H FOR POLE
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SETTING H FOR POLE
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SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
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SETTING H FOR POLE
SETTING H FOR POLE
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SETTING H FOR POLE
SETTING H FOR POLE
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SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
 
TOP MAIN SOLVE Loop
x[1]                              = 0.1999976946686464                           
y[1] (closed_form)                = 0.9800670358372746                           
y[1] (numeric)                    = 0.9800672414524                              
absolute error                    = 2.056151253704286e-07                        
relative error                    = 2.09797001482425e-05                       % 
Desired digits                    = 8                                   
Estimated correct digits          = 12                                  
Correct digits                    = 7                                   
h                                 = 8.777955881230441e-05                        
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!
Maximum Iterations Reached before Solution Completed!
diff  (  y  ,  x  ,  5  )   =  m1  *  diff  (  y  ,  x  ,  3 )   ; 
Iterations                       = 1000                                
Total Elapsed Time               = 0.0 Seconds
Elapsed Time(since restart)      = 0.0 Seconds
Expected Time Remaining          = 0.0 Seconds
Optimized Time Remaining         = 0.0 Seconds
Expected Total Time              = 0.0 Seconds
Time to Timeout                  = 20 Minutes 0.0 Seconds
Percent Done                     = 9.638                                      %