2.451   ODE No. 451

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

\[ \left (a+x^2\right ) y'(x)^2+b-2 x y(x) y'(x)+y(x)^2=0 \] Mathematica : cpu = 300.532 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.16 (sec), leaf count = 78

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