2.941   ODE No. 941

\[ y'(x)=\frac {x^6-12 x^5+12 x^4 y(x)+48 x^4-96 x^3 y(x)-72 x^3+48 x^2 y(x)^2+192 x^2 y(x)+32 x^2-192 x y(x)^2-32 x y(x)+64 y(x)^3-32 x}{16 x^2+64 y(x)-64 x+64} \] Mathematica : cpu = 0.456035 (sec), leaf count = 53


\[\text {Solve}\left [x-8 \text {RootSum}\left [11776 \text {$\#$1}^3-40 \text {$\#$1}-1\& ,\text {$\#$1} \log \left (17664 \text {$\#$1}^2-1472 \text {$\#$1}+11 x^2+44 y(x)-44 x-40\right )\& \right ]=c_1,y(x)\right ]\] Maple : cpu = 0.051 (sec), leaf count = 35


\[y \relax (x ) = -\frac {x^{2}}{4}+x +\RootOf \left (-x +\int _{}^{\textit {\_Z}}\frac {\textit {\_a} +1}{\textit {\_a}^{3}-\textit {\_a} -1}d \textit {\_a} +c_{1}\right )\]