\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {-32\,xy \left ( x \right ) -72\,{x}^{3}+32\,{x}^{2}-32\,x+64\, \left ( y \left ( x \right ) \right ) ^{3}+48\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}-192\,x \left ( y \left ( x \right ) \right ) ^{2}+12\,y \left ( x \right ) {x}^{4}-96\,{x}^{3}y \left ( x \right ) +192\,{x}^{2}y \left ( x \right ) +{x}^{6}-12\,{x}^{5}+48\,{x}^{4}}{64\,y \left ( x \right ) +16\,{x}^{2}-64\,x+64}}=0} \]
Mathematica: cpu = 0.372047 (sec), leaf count = 53 \[ \text {Solve}\left [x-8 \text {RootSum}\left [11776 \text {$\#$1}^3-40 \text {$\#$1}-1\& ,\text {$\#$1} \log \left (17664 \text {$\#$1}^2-1472 \text {$\#$1}+11 x^2+44 y(x)-44 x-40\right )\& \right ]=c_1,y(x)\right ] \]
Maple: cpu = 0.047 (sec), leaf count = 35 \[ \left \{ y \left ( x \right ) =-{\frac {{x}^{2}}{4}}+x+{\it RootOf} \left ( -x+\int ^{{\it \_Z}}\!{\frac {{\it \_a}+1}{{{\it \_a}}^{3}-{ \it \_a}-1}}{d{\it \_a}}+{\it \_C1} \right ) \right \} \]