We have the system with one discrete variable along x-axis (i.e. 'i' is discrete in the attached file) and other variable 't' is continuous. But maple return error.

CD.mw

Why maple return trivial solution after integration (see (11) in the attached .mw))? The result should be some non-trivial solution.

solutionsg.mw

I want to find the relation between w and k by putting Determinant(A) is equal to zero. Since the determinant is large (A is a matrix of size 6x6) and I am not able to find the simplified expression. How to do that?

determinant.mw

Why solutions (5) and (6) are different? The solution (5) is obtained by putting f=0 of the series, while (6) is the result by taking limit at f->0. 

check.mw

How can we export image with minimum size? I plot the solution and then export the image as an .eps file. But when I try to generate the generate the pdf file on Latex, the file size is too large. But when I plot the solutions on Matlab and export the images as .eps file, then Latex generate pdf file with samll size. Why Maple generate images of large sizes?

solution.mw