3.400   ODE No. 400

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

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

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

Maple: cpu = 0.624 (sec), leaf count = 123 \[ \left \{ y \left ( x \right ) ={\frac {{x}^{3}}{6}},y \left ( x \right ) = -{\frac {1}{3\,{\it \_C1}} \left ( -{\it \_C1}\,{x}^{3}-x \left ( -{x}^{ 2}{\it \_C1}+\sqrt {-6\,{\it \_C1}\,x} \right ) -3 \right ) },y \left ( x \right ) =-{\frac {1}{3\,{\it \_C1}} \left ( -{\it \_C1}\,{x}^{3}+x \left ( {x}^{2}{\it \_C1}+\sqrt {-6\,{\it \_C1}\,x} \right ) -3 \right ) },y \left ( x \right ) ={\frac {{x}^{3}}{3}}+{\frac {x}{3} \left ( -{x}^{2}-\sqrt {-6\,{\it \_C1}\,x} \right ) }+{\it \_C1},y \left ( x \right ) ={\frac {{x}^{3}}{3}}+{\frac {x}{3} \left ( -{x}^{2}+ \sqrt {-6\,{\it \_C1}\,x} \right ) }+{\it \_C1} \right \} \]