##############ECHO OF PROBLEM#################
##############temp/sing5postode.ode#################
diff  (  y  ,  x  ,  1  )   =  m1  *  3.0    /  x  /  x  /  x  /  x  ; 
!
/* BEGIN FIRST INPUT BLOCK */
Digits=32;
max_terms=20;
!
/* END FIRST INPUT BLOCK */
/* BEGIN SECOND INPUT BLOCK */
x_start=c(-1.0);
x_end=c(-0.7);
array_y_init[0 + 1] = exact_soln_y(x_start);
glob_look_poles=true;
glob_max_h=c(0.001);
glob_min_h=c(0.001);









glob_type_given_pole=1;

array_given_rad_poles[1][1]=c(0.0);

array_given_rad_poles[1][2]=c(0.0);

array_given_ord_poles[1][1]=c(4.0);

array_given_ord_poles[1][2]=c(0.0);
/* 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(1.0)/c(x)/c(x)/c(x));
}


/* END USER DEF BLOCK */
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
TOP MAIN SOLVE Loop
x[1]                              = -1                                           
y[1] (closed_form)                = -1                                           
y[1] (numeric)                    = -1                                           
absolute error                    = 0                                            
relative error                    = 0                                          % 
Desired digits                    = 8                                   
Estimated correct digits          = 14                                  
Correct digits                    = 16                                  
h                                 = 0.05                                         
Radius of convergence (given) for eq  1            = 1                                            
Order of pole (given)                              = 4                                            
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1   = 1                                            
Order of pole (three term test)                    = 6.653e-14                                    
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                              = -0.8999999999999999                          
y[1] (closed_form)                = -1.371742112482853                           
y[1] (numeric)                    = -1.371741640606589                           
absolute error                    = 4.718762645072871e-07                        
relative error                    = 3.439977968258123e-05                      % 
Desired digits                    = 8                                   
Estimated correct digits          = 14                                  
Correct digits                    = 7                                   
h                                 = 0.05                                         
Radius of convergence (given) for eq  1            = 0.9                                          
Order of pole (given)                              = 4                                            
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1   = 0.9                                          
Order of pole (three term test)                    = 3.655e-14                                    
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                              = -0.7999999999999998                          
y[1] (closed_form)                = -1.953125000000001                           
y[1] (numeric)                    = -1.95312325355389                            
absolute error                    = 1.746446110839628e-06                        
relative error                    = 8.941804087498889e-05                      % 
Desired digits                    = 8                                   
Estimated correct digits          = 13                                  
Correct digits                    = 7                                   
h                                 = 0.05                                         
Radius of convergence (given) for eq  1            = 0.8                                          
Order of pole (given)                              = 4                                            
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1   = 0.8                                          
Order of pole (three term test)                    = 1.08e-13                                     
NO COMPLEX POLE (six term test) for Equation 1
Finished!
diff  (  y  ,  x  ,  1  )   =  m1  *  3.0    /  x  /  x  /  x  /  x  ; 
Iterations                       = 6                                   
Total Elapsed Time               = 0.0 Seconds
Elapsed Time(since restart)      = 0.0 Seconds
Time to Timeout                  = 20 Minutes 0.0 Seconds
Percent Done                     = 116.7                                      %