3.484   ODE No. 484

\[ \boxed { \left ( 2\,xy \left ( x \right ) -{x}^{2} \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}-6\,xy \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{2}+2\,xy \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.170522 (sec), leaf count = 81 \[ \left \{\left \{y(x)\to -\sqrt {3 x^2-2 e^{\frac {c_1}{2}} x}-e^{\frac {c_1}{2}}+2 x\right \},\left \{y(x)\to \sqrt {3 x^2-2 e^{\frac {c_1}{2}} x}-e^{\frac {c_1}{2}}+2 x\right \}\right \} \]

Maple: cpu = 0 (sec), leaf count = 0 \[ \text {hanged} \]