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 = 0.0146118 (sec), leaf count = 20

\[\left \{\left \{y(x)\to \frac {1}{c_1 \left (x-c_1{}^2\right )}\right \}\right \}\] Maple : cpu = 0.773 (sec), leaf count = 43

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