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 = 0.129566 (sec), leaf count = 17

\[\left \{\left \{y(x)\to -\frac {2}{x}+\frac {1}{x+c_1}\right \}\right \}\] Maple : cpu = 0.112 (sec), leaf count = 20

\[\left \{y \left (x \right ) = \frac {-2 c_{1}+x}{\left (c_{1}-x \right ) x}\right \}\]