\[ y'(x)=\frac {x^6-3 x^5+3 x^4 y(x)+4 x^4-6 x^3 y(x)-3 x^3+3 x^2 y(x)^2+5 x^2 y(x)-x^2-3 x y(x)^2-2 x y(x)+y(x)^3+y(x)^2+x+1}{x} \] ✓ Mathematica : cpu = 0.23742 (sec), leaf count = 108
\[\text {Solve}\left [-\frac {29}{3} \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {\frac {3 x^2-3 x+1}{x}+\frac {3 y(x)}{x}}{\sqrt [3]{29} \sqrt [3]{\frac {1}{x^3}}}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]=\frac {1}{9} 29^{2/3} \left (\frac {1}{x^3}\right )^{2/3} x^2 \log (x)+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.034 (sec), leaf count = 39
\[y \relax (x ) = -x^{2}+x -\frac {1}{3}+\frac {29 \RootOf \left (-81 \left (\int _{}^{\textit {\_Z}}\frac {1}{841 \textit {\_a}^{3}-27 \textit {\_a} +27}d \textit {\_a} \right )+\ln \relax (x )+3 c_{1}\right )}{9}\]