\[ y'(x)=\frac {3 x^2 y(x) \log ^2(x)-2 x^2 y(x) \log (x)+x^3+x^2+x^3 \left (-\log ^3(x)\right )+x^3 \log ^2(x)+x y(x)^2+x y(x)+y(x)^3-3 x y(x)^2 \log (x)}{x^2} \] ✓ Mathematica : cpu = 0.234489 (sec), leaf count = 99
\[\text {Solve}\left [-\frac {29}{3} \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {\frac {3 y(x)}{x^2}+\frac {1-3 \log (x)}{x}}{\sqrt [3]{29} \sqrt [3]{\frac {1}{x^3}}}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]=\frac {29^{2/3}}{9 \sqrt [3]{\frac {1}{x^3}}}+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.127 (sec), leaf count = 39
\[ \left \{ y \left ( x \right ) ={\frac {x \left ( 9\,\ln \left ( x \right ) -3+29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+x+3\,{\it \_C1} \right ) \right ) }{9}} \right \} \]