2.452   ODE No. 452

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

\[ \left (2 x^2+1\right ) y'(x)^2+\left (x^2+2 x y(x)+y(x)^2+2\right ) y'(x)+2 y(x)^2+1=0 \] Mathematica : cpu = 300.737 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 1.744 (sec), leaf count = 37

\[ \left \{ y \left ( x \right ) =-3\,x-2\,\sqrt {2\,{x}^{2}+1},y \left ( x \right ) =-3\,x+2\,\sqrt {2\,{x}^{2}+1} \right \} \]