How to linearize eq (6) by neglecting all higher order terms i.e., epsilon[1]^2, epsilon[2]^2, epsilon[1]*epsilon[2]... etc? How to do it in maple?

Calculation.mw

Can we write v matrix in terms of matrix u? i.e., v=const*u.

uv_mat.mw

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