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 = 300.192 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.035 (sec), leaf count = 76

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