2.839   ODE No. 839

\[ y'(x)=\frac {e^{\frac {y(x)}{x}} \left (x^2+x e^{-\frac {y(x)}{x}}+e^{-\frac {y(x)}{x}} y(x)\right )}{x} \] Mathematica : cpu = 0.281035 (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 = 0.072 (sec), leaf count = 19


\[y \relax (x ) = \ln \left (\frac {2 x}{-x^{2}+c_{1}}\right ) x\]