3.119   ODE No. 119

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

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

Mathematica: cpu = 0.029504 (sec), leaf count = 17 \[ \left \{\left \{y(x)\to \frac {e^{e^{c_1} x}}{x}\right \}\right \} \]

Maple: cpu = 0.047 (sec), leaf count = 14 \[ \left \{ y \left ( x \right ) ={\frac {1}{x}{{\rm e}^{{\frac {x}{{\it \_C1}}}}}} \right \} \]