Solution of second order BVP with variable functions

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Hello everyone,
I am trying to solve the following 2nd order BVP:
where p and q are known functions with constant parameters. I want to solve this BVP for Y, where p and q will act as know but input functions.
Can anyone help me solve this BVP?
(For the sake of simplicity, lets consider and )
Thanks in Advance!
-Ashok Das

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