\[ y'(x)=\frac {x^6}{27}+\frac {1}{3} x^4 y(x)+\frac {x^4}{9}+x^2 y(x)^2+\frac {2}{3} x^2 y(x)+y(x)^3+y(x)^2-\frac {2 x}{3}+1 \] ✓ Mathematica : cpu = 0.227419 (sec), leaf count = 77
\[\text {Solve}\left [-\frac {29}{3} \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {x^2+3 y(x)+1}{\sqrt [3]{29}}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]=\frac {1}{9} 29^{2/3} x+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.059 (sec), leaf count = 30
\[\left \{y \left (x \right ) = -\frac {x^{2}}{3}+\RootOf \left (c_{1}-x +\int _{}^{\textit {\_Z}}\frac {1}{\textit {\_a}^{3}+\textit {\_a}^{2}+1}d \textit {\_a} \right )\right \}\]