Answer to Question #229855 in Differential Equations for Adi

Question

(1+x)

Answer 1

The question seems to be incomplete, so we assuming it as:

$\frac{dy}{dx}=1+x\\ \Rightarrow dy=(1+x)dx\\$

Integrating both sides, we get:

$y=x+\frac{x^2}{2}+c$ where $c$ is the constant of integration.