Question

Solve:

$\frac{dy}{dx}=x+e^x$.

Answer 1

Given,

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

or, $dy=(x+e^x)dx$

Now integrating we have,

$y=\frac{x^2}{x}+e^x+c$. [ Where $c$ is integrating constant]