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 = 3599.95 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.041 (sec), leaf count = 76

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