Question

Write the general solution of differential equation dy/dx = eˣ⁺ʸ

Answer 1

Answer:

Given differential equation:

\frac{dy}{dx}=e^{x+y}

\frac{dy}{dx}=e^x\cdot e^y

\frac{dy}{e^y}=e^xdx

\int\frac{dy}{e^y}=\int e^xdx

\frac{-1}{e^{y}}=e^x+C

Hope you like the answer.