3.136   ODE No. 136

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

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

Mathematica: cpu = 0.012502 (sec), leaf count = 28 \[ \left \{\left \{y(x)\to \frac {-c_1 x-x+x \log (x)}{c_1-\log (x)}\right \}\right \} \]

Maple: cpu = 0.015 (sec), leaf count = 18 \[ \left \{ y \left ( x \right ) =-{\frac {x \left ( \ln \left ( x \right ) + {\it \_C1}-1 \right ) }{\ln \left ( x \right ) +{\it \_C1}}} \right \} \]