3.772   ODE No. 772

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( x+1+\ln \left ( y \left ( x \right ) \right ) x \right ) \ln \left ( y \left ( x \right ) \right ) y \left ( x \right ) }{x \left ( 1+x \right ) }}=0} \]

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.108514 (sec), leaf count = 21 \[ \left \{\left \{y(x)\to e^{\frac {x}{c_1-x+\log (x+1)}}\right \}\right \} \]

Maple: cpu = 0.093 (sec), leaf count = 18 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {x}{\ln \left ( 1+x \right ) +{\it \_C1}-x}}}} \right \} \]