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Hi, So, I am told to Solve the differential equation y + 16y = e4t + 3 sin(4t) and i am having trouble deriving the

Hi,

So, I am told to

Solve the differential equation y + 16y = e4t + 3 sin(4t)

and i am having trouble deriving the y_p(t) of this DE.

I got y_p(t) = Acos(4t) + Bsin(4t) + Ce^(-4t) but, I am unsure if this is correct.

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