\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( 1+y \left ( x \right ) \right ) \left ( \left ( y \left ( x \right ) -\ln \left ( 1+y \left ( x \right ) \right ) -\ln \left ( x \right ) \right ) x+1 \right ) }{xy \left ( x \right ) }}=0} \]
Mathematica: cpu = 0.103513 (sec), leaf count = 25 \[ \left \{\left \{y(x)\to -W\left (-\frac {e^{c_1 e^x-1}}{x}\right )-1\right \}\right \} \]
Maple: cpu = 0.312 (sec), leaf count = 34 \[ \left \{ y \left ( x \right ) ={\frac {1}{x} \left ( {{\rm e}^{-{\it lambertW} \left ( -{\frac {{{\rm e}^{{{\rm e}^{x}}{\it \_C1}-1}}}{x}} \right ) +{{\rm e}^{x}}{\it \_C1}-1}}-x \right ) } \right \} \]