Mathematics

Problem

Which of the following differential equations can be solved by separating the variables

x

and

y

? a)

\displaystyle \frac{dy}{dx}=y^{2}+x

\displaystyle x\,\frac{dy}{dx}+y=x

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

\displaystyle \frac{dy}{dx}=\frac{y}{x}+1