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April 2nd, 2019, 01:45 PM   #1
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Differential equation I am stuck on

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 skipjack; April 2nd, 2019 at 02:18 PM.
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April 2nd, 2019, 02:17 PM   #2
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Using $e^{\gamma t}\!$ as an integrating factor, you can integrate once to get a first order differential equation.
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April 2nd, 2019, 02:57 PM   #3
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Quote:
Originally Posted by skipjack View Post
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!
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