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Question undamped oscillator with driving force ( Physics Help and Math Help - Physics Forums Introductory Physics )
Updated: 2008-03-25 17:11:42 (0)
undamped oscillator with driving force

just wondering how to go about this one:
An undamped harmonic oscillator is subject to a driving force Click to see the LaTeX code for this image. It starts from rest at the origin (x=0) at time t=0.

assuming a general solution Click to see the LaTeX code for this image where A, Click to see the LaTeX code for this image, Click to see the LaTeX code for this image, B, and Click to see the LaTeX code for this image 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
Click to see the LaTeX code for this image however i cannot see how i can solve for all the constants with these two equations..any help?

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