2.541   ODE No. 541

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

\[ y(x)^2 y'(x)^3+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 300. (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 1.118 (sec), leaf count = 103

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