\[ y'(x)=\frac {x^3 y(x)^3+x^3 y(x)^2+x^3+6 x^2 y(x)^2+4 x^2 y(x)+12 x y(x)+6 x+8}{x^3} \] ✓ Mathematica : cpu = 0.102397 (sec), leaf count = 77
\[\text {Solve}\left [87 \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {3 x y(x)+x+6}{\sqrt [3]{29} x}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]+9 c_1+29^{2/3} x=0,y(x)\right ]\]
✓ Maple : cpu = 0.044 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) ={\frac {29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+x+3\,{\it \_C1} \right ) x-3\,x-18}{9\,x}} \right \} \]