@aamirkhan 

Q is not the same thing as `#mi("Q")`. Likewise for M. I don't know how those names got misrepresented as the longer forms. That's one of the mysteries of 2D input. Perhaps it has something to with entry by palette or cut and paste. But the other Qs in the expression are normal.

@tomleslie 

In your expression assigning the value of B__22, you refer to R__bL2, but the matrix that you defined above that is Rb__L2. Also, you've used `*` in two places in that expression where you should've used `.`.

I know that it's that simple because I corrected the OP's worksheet simply by retyping the first term like I described. If IsMatrixShape returns true, which it did, then the problem is corrected.

Would you check carefully whether you're missing any second derivatives in the PDEs? I find it somewhat surprising that there are no second derivatives of u or v, and yet your boundary conditions specify the values of u and v on both boundaries.

@Markiyan Hirnyk 

Note that the OrthogonalExpansions package needs to be downloaded (as explained in Kitonum's Answer) before you can read its help file. For Maple 18+, the help file will need to be converted to the new format. The DiscreteTransforms package comes with Maple.

@Axel Vogt 

is(t^2 < exp(t)) assuming t > 0;

     true

@jahan I found the following worksheet for you. The worksheet contains instructions for downloading and using the package. Note that you will have to read the worksheet before you execute it, because executing it requires having the package.

ShootBVP.mw

It is great that you uploaded a worksheet. Considering that your code is so short, I think that it would facilitate the ensuing dicussion if you also pasted the code directly into your Question. Here it is, with the blank lines deleted:

Partition := proc(n::integer) local i, Integer, Sum, Partition:
    Sum := 0;
  for i from 1 to n do
    while Sum < n do
      Integer [i] := RandomTools[Generate](integer(range = 1..n));
      Partition := Vector[row](Integer[i]);
      Sum:= Integer [i] + Sum;
    end do;
  end do;
 print(Partition);
end;

@bfathi I cannot find a freely available copy of that file on the web. It is part of that book. Is there a CD attached to the book? Does the text of the file appear in the book? You're in luck that I happen to have a copy of that book, the third edition (Walter Gander and Jiri Hrebicek, Solving Problems in Scientific Computing Using Maple and Matlab, 3rd ed., Springer 1997). If you tell me the section of the book that the file appears in, I may be able to help you more.

Your English is okay. I had no trouble understanding any of what you were saying.

@jahan The shoot package is not part of standard Maple. You'll need to download it somewhere. I have seen it before. It is very old, and may be difficult to use in today's Maple. Note that Maple does have BVP solvers built in. 

@bfathi 

Use the fully qualified file name, for example,

read `C:/Users/Carl/Desktop/dsnumsort.m`;

@14Robin I don't think that that's possible from the keyboard alone. And for me the following is definitely too much effort to be worth it. But if you really want to get rid of the [, go to the Format menu and select Create Document Block. Then press uparrow, control-Del, control-T.

@Markiyan Hirnyk Thank you. The misspelling "Newoton" in the original title probably pushed this further down the list of search results than it otherwise would've been.

@Markiyan Hirnyk 

The OP's only issue is with the prettyprinted display of %limit, not with its programmatic functionality.

This does not go back to Maple Vr4. For a discussion of forming inert functions by prepending %, see ?value.

@Markiyan Hirnyk The OEIS claims that 34 is the correct answer for order 5 graphs. It is amazing that Categorize and IsIsomorphic get this right when they are so wrong for order 4 graphs.

@Markiyan Hirnyk 

The MaplePrimes search is horrible. And Google does not properly index MaplePrimes: All searches point to the User's Answers page, which is worthless in my case because I have over 1800 Answers. So, I can't find my own Answer. So could you please post a link to it?

Note that I can easily use Google to find my Answers on StackOverflow, Yahoo groups, comp.soft-sys.math.maple, etc. This situation that MaplePrimes is not properly indexed by Google is deplorable. What a waste of valuble information!