Mark against the correct answer in the following:

Mark $(\sqrt{)}$ against the correct answer in the following:

The solution of the $D E \frac{d y}{d x}=e^{x+y}+x^{2} \cdot e^{y}$ is

A. $e^{x-y}+\frac{x^{3}}{3}+C$

B. $e^{x}+e^{-y}+\frac{x^{3}}{3}+C^{\prime}$

C. $e^{x}-e^{-y}+\frac{x^{3}}{3}+C$

D. None of these