Differential equation I am stuck on

Nov 2015
198
25
United States of America
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.
 
Last edited by a moderator:

skipjack

Forum Staff
Dec 2006
21,481
2,470
Using $e^{\gamma t}\!$ as an integrating factor, you can integrate once to get a first order differential equation.
 
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