2.496   ODE No. 496

\[ (y(x)-x)^2 \left (y'(x)^2+1\right )-a^2 \left (y'(x)+1\right )^2=0 \] Mathematica : cpu = 20.5772 (sec), leaf count = 17831


\[ \text {Too large to display} \] Maple : cpu = 0.256 (sec), leaf count = 130


\[y \relax (x ) = x -\sqrt {2}\, a\]