Question

$$\frac{dy}{dx}=\frac{4x+3y+2}{3x+2y+1}$$

Solve for x

$x=-\frac{3y}{4}-\frac{1}{2}$
$y\neq -2$

Solve for y

$y=\frac{-4x-2}{3}$
$x\neq 1$