2.528   ODE No. 528

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

\[ a b x+a y'(x)^2+b y(x)+y'(x)^3=0 \] Mathematica : cpu = 300.002 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.219 (sec), leaf count = 86

\[ \left \{ y \left ( x \right ) =-ax-{\frac { \left ( {{\rm e}^{{\it RootOf} \left ( -2\,{a}^{2}{\it \_Z}-3\,{{\rm e}^{2\,{\it \_Z}}}+8\,a{{\rm e}^{{\it \_Z}}}+2\,b{\it \_C1}-5\,{a}^{2}-2\,bx \right ) }}-a \right ) ^{2}{{\rm e}^{{\it RootOf} \left ( -2\,{a}^{2}{\it \_Z}-3\,{{\rm e}^{2\,{\it \_Z}}}+8\,a{{\rm e}^{{\it \_Z}}}+2\,b{\it \_C1}-5\,{a}^{2}-2\,bx \right ) }}}{b}} \right \} \]