\[ y'(x)=\frac {x}{x^6+3 x^4 y(x)^2+x^4+3 x^2 y(x)^4+2 x^2 y(x)^2+y(x)^6+y(x)^4-y(x)+1} \] ✓ Mathematica : cpu = 0.192657 (sec), leaf count = 103
\[\text {Solve}\left [y(x)-\frac {1}{2} \text {RootSum}\left [\text {$\#$1}^3+3 \text {$\#$1}^2 y(x)^2+\text {$\#$1}^2+3 \text {$\#$1} y(x)^4+2 \text {$\#$1} y(x)^2+y(x)^6+y(x)^4+1\& ,\frac {\log \left (x^2-\text {$\#$1}\right )}{3 \text {$\#$1}^2+6 \text {$\#$1} y(x)^2+2 \text {$\#$1}+3 y(x)^4+2 y(x)^2}\& \right ]=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.633 (sec), leaf count = 34
\[-y \relax (x )+\frac {\left (\int _{}^{y \relax (x )^{2}+x^{2}}\frac {1}{\textit {\_a}^{3}+\textit {\_a}^{2}+1}d \textit {\_a} \right )}{2}-c_{1} = 0\]