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Damped Forced Oscillations and Beats

Hello,

I know it is possible with the undamped case but is it possible to have beats with a Damped Forced Oscillation?

Graphing a particular instance of the equation:$\displaystyle y(t)=C_1 e^{- \alpha t}cos(\omega _o t)+C_2 cos(\omega t)$

Resulted in:

Attachment 20028

Which kind of looks like beats that are fading away.

But I can't find a mathematical representation that describes it like the undamped case:$\displaystyle y(t)=C sin(\frac{\omega_o + \omega}{2}t)sin(\frac{\omega_o - \omega}{2}t)$

That pesky exponential term from the first equation above keeps on getting in the way.

Any help appreciated,

Scott.