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These are questions asked by WA573

After substitution of (10) into (4), how to collect the terms of like powers of eta (i.e., eta^-3, eta^-2,eta^-1, eta^0, eta^1,eta^2 ), and equate the coefficients to
zero, get a system of algebraic equations for A[m]?



How to find values of w for which determinant of A is zero?


Can we convert expression into determinant of 3 rows and 3 columns?


I am trying to solce eq (2) by integration. But maple integrate only 1st term in eq. Why not other two terms? 



Why maple give empty solutions? See ref. (12) in the attached wokrsheet. Is there anything missing when deriving Sols?


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