\[ \boxed { y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -x{{\rm e}^{{\frac {x}{y \left ( x \right ) }}}}=0} \]
Mathematica: cpu = 38.749421 (sec), leaf count = 40 \[ \text {Solve}\left [\int _1^{\frac {y(x)}{x}} \frac {K[1]}{K[1]^2-e^{\frac {1}{K[1]}}} \, dK[1]=c_1-\log (x),y(x)\right ] \]
Maple: cpu = 0.016 (sec), leaf count = 31 \[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( -\int ^{{\it \_Z}}\!{ \frac {{\it \_a}}{-{{\it \_a}}^{2}+{{\rm e}^{{{\it \_a}}^{-1}}}}}{d{ \it \_a}}+\ln \left ( x \right ) +{\it \_C1} \right ) x \right \} \]