What do I do with the E(t) term in this differential equation?

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GottaLoveMath
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Homework Statement


Please see the attached file.

Homework Equations

The Attempt at a Solution


If my math is right so far, I am basically stuck as to what to do with the E(t) term. [/B]
 
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The rest all looks right to me.
By the way, normally just posting an attachment is frowned upon. Especially one that won't open using the forum's built-in viewer options.