Given the following differential equation:

$(1+2x^2)\frac{dy}{dx}-4x(1+y^2)=0$

$(a)$

Determine:

$(i)If$ the equation $is$ linear $or$ non$-$linear?

$(ii)Isit$ separable $or$ non$-$separable?

$(iii)Isit$ homogeneous $or$ non$-$homogeneous?