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 = 0.0167807 (sec), leaf count = 20

\[\left \{\left \{y(x)\to \frac {1}{c_1 \left (x-c_1{}^2\right )}\right \}\right \}\] Maple : cpu = 0.929 (sec), leaf count = 43

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