\[ y'(x)=\frac {2 a x}{-128 a^4+96 a^3 x y(x)^2+32 a^3 x-24 a^2 x^2 y(x)^4-16 a^2 x^2 y(x)^2+2 a x^3 y(x)^6+2 a x^3 y(x)^4+2 a x^3-x^3 y(x)} \] ✓ Mathematica : cpu = 1.56235 (sec), leaf count = 201
\[\text {Solve}\left [-\text {RootSum}\left [-\text {$\#$1}^3 y(x)^6-\text {$\#$1}^3 y(x)^4-\text {$\#$1}^3+12 \text {$\#$1}^2 a y(x)^4+8 \text {$\#$1}^2 a y(x)^2-48 \text {$\#$1} a^2 y(x)^2-16 \text {$\#$1} a^2+64 a^3\& ,\frac {\text {$\#$1} \log (x-\text {$\#$1})}{3 \text {$\#$1}^2 y(x)^6+3 \text {$\#$1}^2 y(x)^4+3 \text {$\#$1}^2-24 \text {$\#$1} a y(x)^4-16 \text {$\#$1} a y(x)^2+48 a^2 y(x)^2+16 a^2}\& \right ]-\frac {\text {RootSum}\left [\text {$\#$1}^3+\text {$\#$1}^2+1\& ,\frac {\log \left (y(x)^2-\text {$\#$1}\right )}{3 \text {$\#$1}^2+2 \text {$\#$1}}\& \right ]}{4 a}+y(x)=c_1,y(x)\right ]\] ✓ Maple : cpu = 1346.46 (sec), leaf count = 43
\[ \left \{ -{\frac {y \left ( x \right ) }{2\,a}}+{\frac {1}{8\,{a}^{2}}\int ^{ \left ( y \left ( x \right ) \right ) ^{2}-4\,{\frac {a}{x}}}\! \left ( {{\it \_a}}^{3}+{{\it \_a}}^{2}+1 \right ) ^{-1}{d{\it \_a}}}-{\it \_C1}=0 \right \} \]