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Homework Statement
I want to get the particular solution for:
Lq''+Rq'+(1/c)q = Esin(xt)
Homework Equations
Lq''+Rq'+(1/c)q = Esin(xt)
The Attempt at a Solution
I got the particular solution and its derivatives:
q = A*Sin(xt) + B*cos(xt)
q' = x*A*cos(xt)  x*B*sin(xt)
q'' = x^2*A*sin(xt)  x^2*B*cos(xt)
I plug these into the 2nd order equation giving me:
A[x^2*L*sin(xt) + R*x*cos(xt) + (1/c)*Sin(xt)] + B[x^2*L*cos(xt)x*R*sin(xt)+(1/c)*cos(xt)] = Esin(xt)
I want to get the form of A and B in the attached image
Also, alpha = x in my typing.
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