3.527   ODE No. 527

\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{3}-x \left ( y \left ( x \right ) \right ) ^{4}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{5}=0} \]

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

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

Maple: cpu = 0.671 (sec), leaf count = 43 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt {{\frac {{{\it \_C1}}^{ 10}}{ \left ( {{\it \_C1}}^{4}x-1 \right ) ^{2}}}},y \left ( x \right ) =- {\frac {3\,\sqrt {3}}{2}{x}^{-{\frac {3}{2}}}},y \left ( x \right ) ={ \frac {3\,\sqrt {3}}{2}{x}^{-{\frac {3}{2}}}} \right \} \]