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 = 300.074 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.144 (sec), leaf count = 72

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