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 = 0.0964107 (sec), leaf count = 20

\[\left \{\left \{y(x)\to x^2 e^{-2 c_1 e^{-x}}\right \}\right \}\] Maple : cpu = 0.143 (sec), leaf count = 17

\[ \left \{ y \left ( x \right ) ={{x}^{2} \left ( {{\rm e}^{{\frac {{\it \_C1}}{{{\rm e}^{x}}}}}} \right ) ^{-1}} \right \} \]