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 = 0.15212 (sec), leaf count = 21

\[\left \{\left \{y(x)\to -x \log \left (-1+\frac {e^{-c_1}}{x}\right )\right \}\right \}\] Maple : cpu = 0.094 (sec), leaf count = 20

\[ \left \{ y \left ( x \right ) = \left ( \ln \left ( -{\frac {x}{-1+x{{\rm e}^{{\it \_C1}}}}} \right ) +{\it \_C1} \right ) x \right \} \]