Find a particular integral of the differential equation $$(D^2 - 4D + 3)y = \sin 3x \cos 2x$$

A

$$\frac{1}{20}(10 \cos5x - 11\sin5x) + \frac{1}{884}(\sin x - 2\cos x)$$

B

$$\frac{1}{884}(10 \cos5x - 11\sin5x) + \frac{1}{20}(\sin x + 2\cos x)$$

C

$$\frac{1}{20}(10 \cos5x - 11\sin5x) + \frac{1}{884}(\sin x + 2\cos x)$$

D

$$\frac{1}{884}(10 \cos5x + 11\sin5x) + \frac{1}{20}(\sin x + 2\cos x)$$