\[ y(x) y'(x)-x e^{\frac {x}{y(x)}}=0 \] ✓ Mathematica : cpu = 54.4885 (sec), leaf count = 38
\[\text {Solve}\left [c_1=\int _1^{\frac {y(x)}{x}} \frac {K[1]}{K[1]^2-e^{\frac {1}{K[1]}}} \, dK[1]+\log (x),y(x)\right ]\]
✓ Maple : cpu = 0.04 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( -\int ^{{\it \_Z}}\!{\frac {{\it \_a}}{-{{\it \_a}}^{2}+{{\rm e}^{{{\it \_a}}^{-1}}}}}{d{\it \_a}}+\ln \left ( x \right ) +{\it \_C1} \right ) x \right \} \]