The solution of differential equation $$\frac{dy}{dx} = e^{x - y} + x^{2} e^{-y}$$ is

A

$$e^{y} = e^{x} + \frac{x^{3}}{3} + c$$

B

$$e^{y} - e^{x} = c$$

C

$$x - e^{y} = c$$

D

$$e^{y} + e^{x} + \frac{x^{3}}{3} + y = 0$$