2.702   ODE No. 702

\[ y'(x)=\frac {-x^3+x^3 (-\log (x))-x y(x)^2+x y(x)-e^x y(x)-x y(x)^2 \log (x)}{x \left (x-e^x\right )} \] Mathematica : cpu = 2.40073 (sec), leaf count = 37


\[\left \{\left \{y(x)\to x \tan \left (\int _1^x\frac {K[1] (\log (K[1])+1)}{e^{K[1]}-K[1]}dK[1]+c_1\right )\right \}\right \}\] Maple : cpu = 0.095 (sec), leaf count = 35


\[y \relax (x ) = \tan \left (\int \frac {x \ln \relax (x )}{{\mathrm e}^{x}-x}d x +\int \frac {x}{{\mathrm e}^{x}-x}d x +c_{1}\right ) x\]