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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.