2.839   ODE No. 839

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

\[ y'(x)=\frac {e^{\frac {y(x)}{x}} \left (x^2+x e^{-\frac {y(x)}{x}}+e^{-\frac {y(x)}{x}} y(x)\right )}{x} \] Mathematica : cpu = 0.262019 (sec), leaf count = 28

\[\left \{\left \{y(x)\to -x \log \left (-\frac {x}{2}+\frac {e^{2 c_1}}{2 x}\right )\right \}\right \}\] Maple : cpu = 0.222 (sec), leaf count = 19

\[ \left \{ y \left ( x \right ) =\ln \left ( 2\,{\frac {x}{-{x}^{2}+{\it \_C1}}} \right ) x \right \} \]