3.171   ODE No. 171

\[ \boxed { {x}^{3}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{2}-{x}^{2}y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.009501 (sec), leaf count = 17 \[ \left \{\left \{y(x)\to \frac {x^2}{c_1 x+1}\right \}\right \} \]

Maple: cpu = 0.0 (sec), leaf count = 15 \[ \left \{ y \left ( x \right ) ={\frac {{x}^{2}}{{\it \_C1}\,x+1}} \right \} \]