Solve the differential equation $\Large\frac{dy}{dx}\normalsize+1=e^{x+y}$

Question

$\begin{array}{1 1}(A)\;(x+c)e^{(\large x-y)}+1=0 \\ (B)\;(x+c)e^{(\large x+y)}-1=0 \\(C)\;(x+c)e^{(\large x+y)}+1=0 \\(D)\;(x-c)e^{(\large x+y)}-1=0\end{array} $