2.140   ODE No. 140

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

\[ x^2 \left (y'(x)+y(x)^2\right )+4 x y(x)+2=0 \] Mathematica : cpu = 0.0750675 (sec), leaf count = 17

\[\left \{\left \{y(x)\to -\frac {2}{x}+\frac {1}{x+c_1}\right \}\right \}\] Maple : cpu = 0.037 (sec), leaf count = 20

\[ \left \{ y \left ( x \right ) ={\frac {-2\,{\it \_C1}+x}{x \left ( -x+{\it \_C1} \right ) }} \right \} \]