3.120   ODE No. 120

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

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

Mathematica: cpu = 0.048506 (sec), leaf count = 20 \[ \left \{\left \{y(x)\to x^2 e^{-2 c_1 e^{-x}}\right \}\right \} \]

Maple: cpu = 0.125 (sec), leaf count = 17 \[ \left \{ y \left ( x \right ) ={{x}^{2} \left ( {{\rm e}^{{\frac {{\it \_C1}}{{{\rm e}^{x}}}}}} \right ) ^{-1}} \right \} \]