solve solution curve

Question

solve $\frac{dy}{dx}=x^2-y^2$, given $y(-2)=1$ and $y(0)=2$

i let $y=vx$, $\frac{dy}{dx}=v+x\frac{dv}{dx}$ $$v+x\frac{dv}{dx}=x^2-v^2x^2$$

I'm not sure how to use separation of variables at this stage, or is my apporach wrong?