##############ECHO OF PROBLEM#################
##############div.ode#################
diff(y,x,1) = sin(x)/cos(x);
!
glob_max_terms := 30;
!
glob_x_start := 0.0;
glob_x_end := 1.0 ;
glob_y_init[1] := exact_soln_glob_y(glob_x_start);
glob_hmax := 0.1 ;
glob_adjust_h := 1;
glob_look_poles := 0;
glob_max_iter := 200;
glob_log10relerr := -8.0;
glob_log10abserr := -8.0;
!
exact_soln_glob_y := proc(x)
return -ln(abs(cos(x)));
end;

!
#######END OF ECHO OF PROBLEM#################
 glob_x[1] :=                   0
 glob_y(exact)       :=                    0
 glob_y_higher[1,1]  :=                    0
 div.ode glob_h = 0.01 glob_max_taylor = 30 Iterations = 0 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =   1 Seconds 
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 div.ode glob_h = 0.02 glob_max_taylor = 30 Iterations = 1 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 div.ode glob_h = 0.04 glob_max_taylor = 30 Iterations = 2 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 div.ode glob_h = 0.08 glob_max_taylor = 30 Iterations = 3 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 4 Current Iterations = 1
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  Unknown
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 0.1
 glob_y(exact)       := 0.005008355623235309
 glob_y_higher[1,1]  := 0.005008355623235309
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 5 Current Iterations = 2
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 0.2
 glob_y(exact)       :=  0.02013477305240835
 glob_y_higher[1,1]  :=  0.02013477305240835
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 6 Current Iterations = 3
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 0.3
 glob_y(exact)       :=  0.04569165592605802
 glob_y_higher[1,1]  :=  0.04569165592605802
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 7 Current Iterations = 4
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 0.4
 glob_y(exact)       :=  0.08222901907505543
 glob_y_higher[1,1]  :=  0.08222901907505543
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 8 Current Iterations = 5
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 0.5
 glob_y(exact)       :=   0.1305842404437227
 glob_y_higher[1,1]  :=   0.1305842404437227
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 9 Current Iterations = 6
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 0.6
 glob_y(exact)       :=   0.1919651694194377
 glob_y_higher[1,1]  :=   0.1919651694194377
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 10 Current Iterations = 7
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 0.7
 glob_y(exact)       :=   0.2680857575679311
 glob_y_higher[1,1]  :=   0.2680857575679311
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 11 Current Iterations = 8
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 0.8
 glob_y(exact)       :=   0.3613907468113437
 glob_y_higher[1,1]  :=   0.3613907468113437
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 12 Current Iterations = 9
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 0.9
 glob_y(exact)       :=   0.4754424435858143
 glob_y_higher[1,1]  :=   0.4754424435858143
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 13 Current Iterations = 10
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                   1
 glob_y(exact)       :=   0.6156264703860143
 glob_y_higher[1,1]  :=   0.6156264703860143
 div.ode glob_h = 0.1 glob_max_taylor = 30 Iterations = 14 Current Iterations = 11
 Total Elapsed Time         =  
 Elapsed Time(since restart)=  
 Expected Time Remaining    =  
 Optimized Time Remaining   =  
 Time to Timeout            =    14 Minutes 59 Seconds 
 glob_x[1] :=                 1.1
 glob_y(exact)       :=   0.7905480772542316
 glob_y_higher[1,1]  :=   0.7905480772542316
Finished!