ODE No. 542

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

\[ 16 y(x)^2 y'(x)^3+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 3600. (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.528 (sec), leaf count = 107

\[ \left \{ y \left ( x \right ) =\sqrt {16\,{{\it \_C1}}^{3}+2\,x{\it \_C1}},y \left ( x \right ) =-{\frac {i}{3}}\sqrt [4]{2}\sqrt [4]{3}\sqrt [4]{-{x}^{3}},y \left ( x \right ) ={\frac {i}{3}}\sqrt [4]{2}\sqrt [4]{3}\sqrt [4]{-{x}^{3}},y \left ( x \right ) =-\sqrt {16\,{{\it \_C1}}^{3}+2\,x{\it \_C1}},y \left ( x \right ) =-{\frac {\sqrt [4]{2}\sqrt [4]{3}}{3}\sqrt [4]{-{x}^{3}}},y \left ( x \right ) ={\frac {\sqrt [4]{2}\sqrt [4]{3}}{3}\sqrt [4]{-{x}^{3}}} \right \} \]