Find a particular integral of the differential equation $(D² - 4D + 3)y = \sin 3x \cos 2x$
- A. Option A
- B. $\frac{1}{884}(10\cos 5x - 11\sin 5x) + \frac{1}{20}(\sin x + 2\cos x)$
- C. Option C
- D. Option D
Answer: B. $\frac{1}{884}(10\cos 5x - 11\sin 5x) + \frac{1}{20}(\sin x + 2\cos x)$
Explanation: Convert product to sum: $\frac{1}{2}(\sin 5x + \sin x)$, then solve for PI.