The solution of $\large\frac{dy}{dx}$$+1=e^{x+y}$ is

Question

$$\begin {array} {1 1} (a)\;e^{-(x+y)}+x+c=0 & \quad (b)\;e^{-(x+y)}-x+c=0 \\ (c)\;e^{x+y}+x+c=0 & \quad (d)\;e^{x+y}-x+c=0 \end {array}$$