The differential equation satisfying $$y = Ae^{3x} + Be^{2x}$$ 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

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