\[ \boxed { y \left ( x \right ) \ln \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) +{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) \ln \left ( y \left ( x \right ) \right ) -xy \left ( x \right ) =0} \]
Mathematica: cpu = 0.011501 (sec), leaf count = 25 \[ \left \{\left \{y(x)\to c_1 e^{\frac {1}{2} W\left (e^x\right )^2+W\left (e^x\right )}\right \}\right \} \]
Maple: cpu = 0.093 (sec), leaf count = 17 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{\frac {{\it lambertW} \left ( {{\rm e}^{x}} \right ) \left ( {\it lambertW} \left ( { {\rm e}^{x}} \right ) +2 \right ) }{2}}}} \right \} \]