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
, 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?