2.919   ODE No. 919

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

\[ y'(x)=\frac {\left (-y(x)+\sqrt {y(x)}+x\right ) y(x)^{3/2}}{x^3-3 x^2 y(x)+3 x y(x)^2+x y(x)^{3/2}-y(x)^3-y(x)^{5/2}+y(x)^2} \] Mathematica : cpu = 300.338 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.181 (sec), leaf count = 120

\[ \left \{ 2\,{\frac { \left ( y \left ( x \right ) \right ) ^{3/2}}{ \left ( y \left ( x \right ) -x \right ) ^{3}}}+3\,{\frac {y \left ( x \right ) }{ \left ( y \left ( x \right ) -x \right ) ^{3}}}-6\,{\frac {\sqrt {y \left ( x \right ) }x}{ \left ( y \left ( x \right ) -x \right ) ^{3}}}-6\,{\frac {x}{ \left ( y \left ( x \right ) -x \right ) ^{3}}}+6\,{\frac {{x}^{2}}{ \left ( y \left ( x \right ) -x \right ) ^{3}\sqrt {y \left ( x \right ) }}}- \left ( y \left ( x \right ) -x \right ) ^{-3}+3\,{\frac {{x}^{2}}{ \left ( y \left ( x \right ) -x \right ) ^{3}y \left ( x \right ) }}-2\,{\frac {{x}^{3}}{ \left ( y \left ( x \right ) -x \right ) ^{3} \left ( y \left ( x \right ) \right ) ^{3/2}}}-{\it \_C1}=0 \right \} \]