
Differential Equations Ordinary and Partial Differential Equations Math Forum 
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April 2nd, 2019, 01:45 PM  #1 
Senior Member Joined: Nov 2015 From: United States of America Posts: 198 Thanks: 25 Math Focus: Calculus and Physics  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. 
April 2nd, 2019, 02:17 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 21,113 Thanks: 2327 
Using $e^{\gamma t}\!$ as an integrating factor, you can integrate once to get a first order differential equation.

April 2nd, 2019, 02:57 PM  #3 
Senior Member Joined: Nov 2015 From: United States of America Posts: 198 Thanks: 25 Math Focus: Calculus and Physics  

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