The differential equation satisfying $$y = A + e^{3x} + B e^{2x}$$ is

A

$$\frac{d^2y}{dx^2} + 5 \frac{dy}{dx} - 6y = 0$$

B

$$\frac{d^2y}{dx^2} - 5 \frac{dy}{dx} + 6y = 0$$

C

$$\frac{d^2y}{dx^2} + 5 \frac{dy}{dx} + 6y = 0$$

D

$$\frac{d^2y}{dx^2} - 5 \frac{dy}{dx} - 6y = 0$$