\[ y'(x)=\frac {3 x^4 y(x)-6 x^3 y(x)+3 x^2 y(x)^2+5 x^2 y(x)+x^6-3 x^5+4 x^4-3 x^3-x^2-3 x y(x)^2-2 x y(x)+y(x)^3+y(x)^2+x+1}{x} \] ✓ Mathematica : cpu = 0.225764 (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 = 0.14 (sec), leaf count = 39
\[ \left \{ y \left ( x \right ) =-{x}^{2}+x-{\frac {1}{3}}+{\frac {29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+\ln \left ( x \right ) +3\,{\it \_C1} \right ) }{9}} \right \} \]