just wondering how to go about this one:

An undamped harmonic oscillator is subject to a driving force

. It starts from rest at the origin (x=0) at time t=0.

assuming a general solution

where A,

,

, B, and

are real constants, find the position x(t) as a function of time.

I was thinking to take this general solution, differentiate, and apply initial conditions to the two equations, however all i could solve for is alpha in terms of omega.

Then i thought to differentiate again and plug into the equation

however i cannot see how i can solve for all the constants with these two equations..any help?