\[ y'(x)=\frac {a^3 x^6+6 a^2 b x^5+12 a^2 x^4 y(x)-8 a^2 x^3+12 a b^2 x^4+48 a b x^3 y(x)-16 a b x^2+48 a x^2 y(x)^2-32 a x y(x)-32 a x+8 b^3 x^3+48 b^2 x^2 y(x)+96 b x y(x)^2+64 y(x)^3}{16 a x^2+32 b x+64 y(x)+64} \] ✓ Mathematica : cpu = 1.5874 (sec), leaf count = 233
\[\text {Solve}\left [x-4 \text {RootSum}\left [\text {$\#$1}^6 a^3+6 \text {$\#$1}^5 a^2 b+12 \text {$\#$1}^4 a^2 y(x)+12 \text {$\#$1}^4 a b^2+48 \text {$\#$1}^3 a b y(x)+8 \text {$\#$1}^3 b^3+8 \text {$\#$1}^2 a b+48 \text {$\#$1}^2 a y(x)^2+48 \text {$\#$1}^2 b^2 y(x)+16 \text {$\#$1} b^2+96 \text {$\#$1} b y(x)^2+32 b y(x)+32 b+64 y(x)^3\& ,\frac {\text {$\#$1}^2 a \log (x-\text {$\#$1})+2 \text {$\#$1} b \log (x-\text {$\#$1})+4 y(x) \log (x-\text {$\#$1})+4 \log (x-\text {$\#$1})}{3 \text {$\#$1}^4 a^2+12 \text {$\#$1}^3 a b+24 \text {$\#$1}^2 a y(x)+12 \text {$\#$1}^2 b^2+48 \text {$\#$1} b y(x)+8 b+48 y(x)^2}\& \right ]=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.069 (sec), leaf count = 47
\[y \relax (x ) = -\frac {a \,x^{2}}{4}-\frac {b x}{2}+\RootOf \left (b x +2 \left (\int _{}^{\textit {\_Z}}-\frac {b \left (\textit {\_a} +1\right )}{2 \textit {\_a}^{3}+\textit {\_a} b +b}d \textit {\_a} \right )+2 c_{1}\right )\]