2.429   ODE No. 429

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

\[ -y'(x) (a y(x)-a+b x-b)+a x y'(x)^2+b y(x)=0 \] Mathematica : cpu = 300.087 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.072 (sec), leaf count = 96

\[ \left \{ y \left ( x \right ) ={\frac {1}{a} \left ( bx+a+b-2\,\sqrt {abx+{b}^{2}x} \right ) },y \left ( x \right ) ={\frac {1}{a} \left ( bx+a+b+2\,\sqrt {abx+{b}^{2}x} \right ) },y \left ( x \right ) ={\frac { \left ( -a{{\it \_C1}}^{2}+{\it \_C1}\,b \right ) x}{-{\it \_C1}\,a+b}}+{\frac { \left ( -a-b \right ) {\it \_C1}}{-{\it \_C1}\,a+b}} \right \} \]