Question: Problems in solving coupled differential equations


I am trying to solve the 6 coupled differential equation. The 6 equations have 6 functions to be solved for with 12 boundary condition. I know for a fact that the solution to this equation exists in the form of nice polynomials.

I tried to solve without constraint. The maple solves the equations for only 4 functions and other 2 have value in form of integrals.

With the equations contraints the maple gets disconnected from the kernel after 4-5 hours of evluating.

Any idea to solves this issue ?? I have attached the workbook.




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