3.140   ODE No. 140

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

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

Mathematica: cpu = 0.009501 (sec), leaf count = 17 \[ \left \{\left \{y(x)\to \frac {1}{c_1+x}-\frac {2}{x}\right \}\right \} \]

Maple: cpu = 0.032 (sec), leaf count = 23 \[ \left \{ y \left ( x \right ) =-{\frac {2\,{\it \_C1}-x}{x \left ( -x+{ \it \_C1} \right ) }} \right \} \]