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 = 0.0685315 (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 = 0.015 (sec), leaf count = 18

\[ \left \{ y \left ( x \right ) =-{\frac {x \left ( \ln \left ( x \right ) +{\it \_C1}-1 \right ) }{\ln \left ( x \right ) +{\it \_C1}}} \right \} \]