\[ y'(x)=\frac {x^3+x^3 \left (-\log ^3(x)\right )+x^3 \log ^2(x)+3 x^2 y(x) \log ^2(x)-2 x^2 y(x) \log (x)+x^2+x y(x)^2+x y(x)+y(x)^3-3 x y(x)^2 \log (x)}{x^2} \] ✓ Mathematica : cpu = 0.27893 (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 = 0.061 (sec), leaf count = 39
\[\left \{y \left (x \right ) = \frac {\left (29 \RootOf \left (3 c_{1}+x -81 \left (\int _{}^{\textit {\_Z}}\frac {1}{841 \textit {\_a}^{3}-27 \textit {\_a} +27}d \textit {\_a} \right )\right )+9 \ln \left (x \right )-3\right ) x}{9}\right \}\]