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

Solve the following forced D.E. (Show work)

L=10 R=20 C=0.01 x(0)=10 x'(0)=0

2. Relevant equations

This is the second order D.E. for a forced LRC circuit

L(d^{2}x/dt^{2})+R(dx/dt)+x/C=200sin(t)

3. The attempt at a solution

y=y_{general}+y_{particular}

I calculated y_{general}to be y_{general}= e^{-t}C_{1}cos(3t)+e^{-t}C_{2}sin(3t)

Now I need to find the particular solution for the DE. I've been trying to use undetermined coefficients, choosing Asin(t)+Bcos(t) as my initial guess but the algebra doesn't seem to work out. Can anyone help me out? Thanks for your time!

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# Homework Help: Solving a 2nd order D.E. of a forced LRC circuit

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