\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {-4\,xy \left ( x \right ) +{x}^{3}+2\,{x}^{2}-4\,x-8}{-8\,y \left ( x \right ) +2\,{x}^{2}+4\,x-8}}=0} \]
Mathematica: cpu = 0.030004 (sec), leaf count = 36 \[ \left \{\left \{y(x)\to 2 \left (W\left (-e^{c_1-\frac {x}{4}-1}\right )+1\right )+\frac {1}{4} \left (x^2+2 x-4\right )\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 26 \[ \left \{ y \left ( x \right ) ={\frac {{x}^{2}}{4}}+2\,{\it lambertW} \left ( 1/2\,{\it \_C1}\,{{\rm e}^{-x/4}}{{\rm e}^{-1/2}} \right ) +{ \frac {x}{2}}+1 \right \} \]