Consider the differential equation

$xy\frac{dy}{dx}=3y^2+x^2$ subject $toy(-1)=2$

Select the correct answer.

The equation is homogeneous with solution

$2y^2+x^2-9x^6$

The equation is homogeneous with solution $2y^2+x^2=9x^6.$

The equation is exact with solution $2y^2+x^2=9x^6.$

None of these

The equation is not homogeneous.