# Differential equation I am stuck on

#### SenatorArmstrong

I am working on a problem to model something in physics and I ran into a differential equation that I am stuck on. The derivatives are with respect to time.

$mx'' + m\gamma x' = E_0 \cos(\omega t)$

I was thinking perhaps Euler's notation would make my life easier?

Any help would be greatly appreciated.

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#### skipjack

Forum Staff
Using $e^{\gamma t}\!$ as an integrating factor, you can integrate once to get a first order differential equation.

2 people

#### SenatorArmstrong

Using $e^{\gamma t}\!$ as an integrating factor, you can integrate once to get a first order differential equation.
Will try this! Thanks a lot!