3.138   ODE No. 138

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

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

Mathematica: cpu = 0.013502 (sec), leaf count = 13 \[ \left \{\left \{y(x)\to x \tan \left (c_1+\log (x)\right )\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 11 \[ \left \{ y \left ( x \right ) =\tan \left ( \ln \left ( x \right ) +{\it \_C1} \right ) x \right \} \]