2.120   ODE No. 120

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

\[ x y'(x)-y(x) \left (x \log \left (\frac {x^2}{y(x)}\right )+2\right )=0 \] Mathematica : cpu = 0.117749 (sec), leaf count = 20

\[\left \{\left \{y(x)\to x^2 e^{-2 c_1 e^{-x}}\right \}\right \}\] Maple : cpu = 0.173 (sec), leaf count = 17

\[\{y \left (x \right ) = x^{2} {\mathrm e}^{-c_{1} {\mathrm e}^{-x}}\}\]