2.527   ODE No. 527

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

\[ -x y(x)^4 y'(x)+y'(x)^3-y(x)^5=0 \] Mathematica : cpu = 300. (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.847 (sec), leaf count = 43

\[ \left \{ y \left ( x \right ) =\sqrt {{\frac {{{\it \_C1}}^{10}}{ \left ( {{\it \_C1}}^{4}x-1 \right ) ^{2}}}}{\it \_C1},y \left ( x \right ) =-{\frac {3\,\sqrt {3}}{2}{x}^{-{\frac {3}{2}}}},y \left ( x \right ) ={\frac {3\,\sqrt {3}}{2}{x}^{-{\frac {3}{2}}}} \right \} \]