Hello all, I have written a thesis on Microsoft Words 6, and I have embedded a significant amount of work done in Maple into this Words document. I don't mean the diagrams only. The diagrams come out alright on Words. What doesn't come out alright are the texts written in Maple but embedded onto Words. For example, the infinity symbol come out as gibberish,and many other symbolic stuff as well. Does anybody know how to resolve this issue? Katherine

Georgios, OK your source code does produce the desired result. Thanks for that. Perhaps I was a bit hasty with my comments about Maple.

P.S., Yes,the solution is continuous and almost constant throughout most of the interval [0,1],but exhibits a sharp exponential drop in value within a very narrow boundary near t=1.

Roman, Just read your message--sorry,been on holiday for the last four weeks. The solution to my problem is x(t) = epsilon*{ln[x*exp(-1/epsilon) - x + 1] + 1/epsilon} where epsilon is 0.01. I have given up on Maple cause it's a meaningless,abject waste of time.What should have been a straightforward program to plot a graph was ultimately fruitless. I was able to plot the above solution using Fortran 77. It's ironic that a language that has been in existence longer than I have been alive can do the job so much more easily than a highly overrated,"user-friendly" language,which in fact is useless. I've just tried to use the continuation method you suggested,but I get the same error message as before.Maple is just incapable of solving this and perhaps many other singular perturbation problems. Katherine

Roman, your comments about "continuation" are interesting. I'll give it a go when I have my laptop in hand. Maple seems to do graphs really well,that is Maple's forte, but when it comes to integrating ODEs and PDEs, well,it leaves a little to be desired.Perhaps Maple can sort out this glitch in their next version of Maple (Maple 11?) by increasing its initmesh default value well above its present value.