\[ y'(x)=\frac {24 x^4 y(x)-96 x^3 y(x)+192 x^2 y(x)^2+96 x^2 y(x)+x^6-6 x^5+12 x^4-24 x^3+32 x^2-384 x y(x)^2-128 x y(x)+512 y(x)^3-128 x}{64 x^2+512 y(x)-128 x+512} \] ✓ Mathematica : cpu = 0.511314 (sec), leaf count = 53
\[\text {Solve}\left [x-16 \text {RootSum}\left [6656 \text {$\#$1}^3-23 \text {$\#$1}-1\& ,\text {$\#$1} \log \left (79872 \text {$\#$1}^2-18304 \text {$\#$1}+181 x^2+1448 y(x)-362 x-184\right )\& \right ]=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.155 (sec), leaf count = 40
\[ \left \{ y \left ( x \right ) =-{\frac {{x}^{2}}{8}}+{\frac {x}{4}}+{\it RootOf} \left ( -x+\int ^{{\it \_Z}}\!4\,{\frac {{\it \_a}+1}{4\,{{\it \_a}}^{3}-{\it \_a}-1}}{d{\it \_a}}+{\it \_C1} \right ) \right \} \]