The substitution $y=xv(x)$ transforms a homogeneous equation into a separable equation. The latter equation can be solved by direct integration, and then replacing $v$ by $\frac{y}{x}$ gives the solution to the original equation.

Use this method to solve the differential equation $\frac{dy}{dx}=\frac{x^{2}7y^2}{6xy}$ NOTE: Use c for the constant of integration.

$y(x)=-$