3.109   ODE No. 109

\[ \boxed { x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) \left ( 2\,y \left ( x \right ) \ln \left ( x \right ) -1 \right ) =0} \]

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

Mathematica: cpu = 0.011001 (sec), leaf count = 17 \[ \left \{\left \{y(x)\to \frac {1}{c_1 x+2 \log (x)+2}\right \}\right \} \]

Maple: cpu = 0.015 (sec), leaf count = 15 \[ \left \{ y \left ( x \right ) = \left ( 2+{\it \_C1}\,x+2\,\ln \left ( x \right ) \right ) ^{-1} \right \} \]