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Differential Equations

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Moderate

Method of Undetermined Coefficients With Trignometric Forcing

DIFFEQ-1RNVUY

A particular solution of:

$$\begin{equation} y'' - y' + y = 4\cos 3t \end{equation}$$

...is:

A

$y(t) = -\cfrac{2}{5} \cos 3t - \cfrac{2}{15} \sin 3t$

B

$y(t) = -\cfrac{32}{73} \cos 3t$

C

$y(t) = -\cfrac{32}{73} \cos 3t - \cfrac{12}{73} \sin 3t$

D

$y(t) = -\cfrac{12}{73} \cos 3t -\cfrac{32}{73} \sin 3t$