Mathematics

Problem

Which of the following differential equations can have

x

and

y

isolated on opposite sides after algebraic manipulation? a)

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

\displaystyle \frac{dy}{dx}=xy+1

\displaystyle \frac{dy}{dx}=\frac{x^{2}+1}{y-3}

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