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 = 300.025 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.109 (sec), leaf count = 95

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