2.943   ODE No. 943

\[ y'(x)=\frac {x^6-6 x^5+24 x^4 y(x)+12 x^4-96 x^3 y(x)-24 x^3+192 x^2 y(x)^2+96 x^2 y(x)+32 x^2-384 x y(x)^2-128 x y(x)+512 y(x)^3-128 x}{64 x^2+512 y(x)-128 x+512} \] Mathematica : cpu = 0.498528 (sec), leaf count = 53


\[\text {Solve}\left [x-16 \text {RootSum}\left [6656 \text {$\#$1}^3-23 \text {$\#$1}-1\& ,\text {$\#$1} \log \left (79872 \text {$\#$1}^2-18304 \text {$\#$1}+181 x^2+1448 y(x)-362 x-184\right )\& \right ]=c_1,y(x)\right ]\] Maple : cpu = 0.051 (sec), leaf count = 40


\[y \relax (x ) = -\frac {x^{2}}{8}+\frac {x}{4}+\RootOf \left (-x +\int _{}^{\textit {\_Z}}\frac {4 \textit {\_a} +4}{4 \textit {\_a}^{3}-\textit {\_a} -1}d \textit {\_a} +c_{1}\right )\]