\[ y'(x)=\frac {x^3+x^3 \left (-\log ^3(x)\right )+x^3 \log ^2(x)+3 x^2 y(x) \log ^2(x)-2 x^2 y(x) \log (x)+x^2+x y(x)^2+x y(x)+y(x)^3-3 x y(x)^2 \log (x)}{x^2} \] ✓ Mathematica : cpu = 0.13299 (sec), leaf count = 93
\[\text {Solve}\left [87 \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {3 y(x)+x-3 x \log (x)}{\sqrt [3]{29} \sqrt [3]{\frac {1}{x^3}} x^2}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]+9 c_1+\frac {29^{2/3}}{\sqrt [3]{\frac {1}{x^3}}}=0,y(x)\right ]\]
✓ Maple : cpu = 0.043 (sec), leaf count = 39
\[ \left \{ y \left ( x \right ) ={\frac {x \left ( 9\,\ln \left ( x \right ) -3+29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+x+3\,{\it \_C1} \right ) \right ) }{9}} \right \} \]