##############ECHO OF PROBLEM#################
##############temp/ln_sqrtpostode.ode#################
diff ( y , x , 1 ) = ln(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(5.0 * ln(0.1 * x + 0.2) * ( 0.1 * x + 0.2) - 0.5  * x - 1.0);
}
/* END USER DEF BLOCK */
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1]                              = 0.1                                          
y[1] (analytic)                   = -2.688680135677902                           
y[1] (numeric)                    = -2.688680135677902                           
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)                   = -2.765540505892753                           
y[1] (numeric)                    = -2.76554050589275                            
absolute error                    = 3.552713678800501e-15                        
relative error                    = 1.284636284021317e-13                      % 
Correct digits                    = 14                                  
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.3000000000000002                           
y[1] (analytic)                   = -2.840127365567783                           
y[1] (numeric)                    = -2.840127365567776                           
absolute error                    = 6.661338147750939e-15                        
relative error                    = 2.345436415461333e-13                      % 
Correct digits                    = 14                                  
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.4000000000000002                           
y[1] (analytic)                   = -2.912539626768175                           
y[1] (numeric)                    = -2.912539626768165                           
absolute error                    = 9.769962616701378e-15                        
relative error                    = 3.354447962496004e-13                      % 
Correct digits                    = 14                                  
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.5000000000000003                           
y[1] (analytic)                   = -2.982867951399863                           
y[1] (numeric)                    = -2.982867951399851                           
absolute error                    = 1.287858708565182e-14                        
relative error                    = 4.317518339894289e-13                      % 
Correct digits                    = 14                                  
h                                 = 0.005                                        
Finished!
diff ( y , x , 1 ) = ln(sqrt(0.1 * x + 0.2));
Iterations                        = 80                                  
Total Elapsed Time               = 4 Seconds
Elapsed Time(since restart)      = 3 Seconds
Time to Timeout                  = 9 Minutes 56 Seconds
Percent Done                     = 101.3                                      %