2.117   ODE No. 117

\[ x y'(x)+x \left (-e^{\frac {y(x)}{x}}\right )-y(x)-x=0 \] Mathematica : cpu = 0.180097 (sec), leaf count = 21


\[\left \{\left \{y(x)\to -x \log \left (-1+\frac {e^{-c_1}}{x}\right )\right \}\right \}\] Maple : cpu = 0.106 (sec), leaf count = 20


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