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zedmondson033
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Homework Statement
Solve the following forced D.E. (Show work)
L=10 R=20 C=0.01 x(0)=10 x'(0)=0
Homework Equations
This is the second order D.E. for a forced LRC circuit
L(d2x/dt2)+R(dx/dt)+x/C=200sin(t)
The Attempt at a Solution
y=ygeneral+yparticular
I calculated ygeneral to be ygeneral = e-tC1cos(3t)+e-tC2sin(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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