2.533   ODE No. 533

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

\[ a+x y'(x)^3-y(x) y'(x)^2=0 \] Mathematica : cpu = 300.083 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.036 (sec), leaf count = 92

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