Practicing Success
Practicing Success
CUET Preparation Today
| The general solution of the differential equation \(\frac{dy}{dx}=e^{x+y}\) is |
\(e^{-x}-e^{-y}=c\) \(e^{x}+e^{-y}=c\) \(e^{-x}+e^{y}=c\) \(e^{-x}+e^{-y}=c\) |
| \(e^{x}+e^{-y}=c\) |
| \(\begin{aligned}\text{Given, }\int \frac{dy}{e^{y}}&=\int e^{x}dx\\ -e^{-y}+c&=e^{x}\\ e^{x}+e^{-y}&=c\end{aligned}\) |
