\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {-8\,xy \left ( x \right ) -{x}^{3}+2\,{x}^{2}-8\,x+32}{32\,y \left ( x \right ) +4\,{x}^{2}-8\,x+32}}=0} \]
Mathematica: cpu = 0.753096 (sec), leaf count = 38 \[ \left \{\left \{y(x)\to 4 \left (W\left (-e^{c_1-\frac {x}{16}-1}\right )+1\right )+\frac {1}{8} \left (-x^2+2 x-8\right )\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 26 \[ \left \{ y \left ( x \right ) =-{\frac {{x}^{2}}{8}}+4\,{\it lambertW} \left ( 1/4\,{\it \_C1}\,{{\rm e}^{-x/16}}{{\rm e}^{-3/4}} \right ) +{ \frac {x}{4}}+3 \right \} \]