?

Free Version
Moderate

# Method of Undetermined Coefficients With Trignometric Forcing

DIFFEQ-1RNVUY

A particular solution of:

$$$$y'' - y' + y = 4\cos 3t$$$$

...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

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