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Zell2
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Homework Statement
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
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 separate 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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