- 28

- 0

**1. 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

**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

Last edited: