Chapter 2.7, Problem 3P

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.

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