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

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)

2. Relevant equations

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

3. 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!

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Non-homogeneous 1st order diff equation

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