The general solution of the differential equation \(\frac{dy}{dx}=e^{x+y}\) is
Answer & explanation
Correct answer: option 2
\(\begin{aligned}\text{Given, }\int \frac{dy}{e^{y}}&=\int e^{x}dx\\ -e^{-y}+c&=e^{x}\\ e^{x}+e^{-y}&=c\end{aligned}\)
Correct answer: option 2