2.136   ODE No. 136

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

\[ x^2 y'(x)+x^2+x y(x)+y(x)^2=0 \] Mathematica : cpu = 0.0964434 (sec), leaf count = 28

\[\left \{\left \{y(x)\to \frac {-x+x \log (x)-c_1 x}{-\log (x)+c_1}\right \}\right \}\] Maple : cpu = 0.016 (sec), leaf count = 18

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