(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm trying to find the particular integral for a second order linear differential equation:

y''+ay'+k^2*y=Acos(bx)sin(cx)

given a<<c and b<<c

3. The attempt at a solution

It's straight forward to rewrite the right hand side as the sum of two sines, consider each seperately and then add the solutions since it's linear, but this leads to 4 seperate terms and the algebra's a bit messy. So I was just wondering is there a better way to deal with products of functions on the right hand side?

Thanks

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# Better way of finding particular integral

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