Chapter 2.7, Problem 9P

Homogeneous Differential Equations. In each of Problem $1$ through $10$:

Determine if the equation is homogeneous. If it is homogeneous, then:

Solve the equation.

Use a computer to draw several integral curves.

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