2.117   ODE No. 117

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

\[ x y'(x)+x \left (-e^{\frac {y(x)}{x}}\right )-y(x)-x=0 \] Mathematica : cpu = 0.188868 (sec), leaf count = 21

\[\left \{\left \{y(x)\to -x \log \left (-1+\frac {e^{-c_1}}{x}\right )\right \}\right \}\] Maple : cpu = 0.116 (sec), leaf count = 20

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