2.767   ODE No. 767

\[ y'(x)=\frac {-x^3+2 x^2-8 x y(x)-8 x+32}{4 x^2+32 y(x)-8 x+32} \] Mathematica : cpu = 0.036282 (sec), leaf count = 38


\[\left \{\left \{y(x)\to \frac {1}{8} \left (-x^2+2 x-8\right )+4 \left (1+W\left (-e^{-\frac {x}{16}-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.117 (sec), leaf count = 26


\[y \relax (x ) = -\frac {x^{2}}{8}+4 \LambertW \left (\frac {c_{1} {\mathrm e}^{-\frac {x}{16}} {\mathrm e}^{-\frac {3}{4}}}{4}\right )+\frac {x}{4}+3\]