# Non-homogeneous 1st order diff equation

## Homework Statement

Hi, I have to solve the following differential equation and while I can get the complimentary function I can't get the particular integral.

y'+30y=20sin(alpha*t)+alpha*cos(alpha*t)

## Homework Equations

How do I integrate the product of e^30t and alpha*cos(alpha*t) in order to find the particular integral?

## The Attempt at a Solution

I've got y=Ce^(-30t) as the complimentary function but can get no further. Any help would be brilliant, thanks!