2.702   ODE No. 702

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x)=\frac {-x^3+x^3 (-\log (x))-x y(x)^2+x y(x)-e^x y(x)-x y(x)^2 \log (x)}{x \left (x-e^x\right )} \] Mathematica : cpu = 3599.93 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.091 (sec), leaf count = 35

\[ \left \{ y \left ( x \right ) =\tan \left ( \int \!{\frac {x\ln \left ( x \right ) }{{{\rm e}^{x}}-x}}\,{\rm d}x+\int \!{\frac {x}{{{\rm e}^{x}}-x}}\,{\rm d}x+{\it \_C1} \right ) x \right \} \]