3.160   ODE No. 160

\[ \boxed { \left ( {x}^{2}-4 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( x+2 \right ) \left ( y \left ( x \right ) \right ) ^{2}-4\,y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.019502 (sec), leaf count = 27 \[ \left \{\left \{y(x)\to \frac {2-x}{(x+2) \left (c_1-\log (x+2)\right )}\right \}\right \} \]

Maple: cpu = 0.015 (sec), leaf count = 29 \[ \left \{ y \left ( x \right ) ={\frac {x-2}{\ln \left ( x+2 \right ) x+{ \it \_C1}\,x+2\,\ln \left ( x+2 \right ) +2\,{\it \_C1}}} \right \} \]