It is Seperation of Variable, Homogeneous Equation, Exact Equation or Linear Equation?

Question

$\displaystyle a^2(dy-dx) = x^2 dy + y^2 dx $ ; $\displaystyle a $ is constant

Answer

$\displaystyle 2 $ $\displaystyle tan^{-1} $ $\displaystyle \left(\frac{y}{a}\right) $ $\displaystyle = ln \left | \frac {c(x+a)}{(x-a)} \right | $