\[ y'(x)=\frac {a^3 x^6+6 a^2 b x^5+12 a^2 x^4 y(x)-8 a^2 x^3+12 a b^2 x^4+48 a b x^3 y(x)-16 a b x^2+48 a x^2 y(x)^2-32 a x y(x)-32 a x+8 b^3 x^3+48 b^2 x^2 y(x)+96 b x y(x)^2+64 y(x)^3}{16 a x^2+32 b x+64 y(x)+64} \] ✓ Mathematica : cpu = 1.80841 (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 = 0.097 (sec), leaf count = 47
\[ \left \{ y \left ( x \right ) =-{\frac {a{x}^{2}}{4}}-{\frac {bx}{2}}+{\it RootOf} \left ( bx+2\,\int ^{{\it \_Z}}\!-{\frac {b \left ( {\it \_a}+1 \right ) }{2\,{{\it \_a}}^{3}+{\it \_a}\,b+b}}{d{\it \_a}}+2\,{\it \_C1} \right ) \right \} \]