2.417   ODE No. 417

\[ a+x y'(x)^2-y(x) y'(x)=0 \] Mathematica : cpu = 0.0038925 (sec), leaf count = 16


\[\left \{\left \{y(x)\to \frac {a}{c_1}+c_1 x\right \}\right \}\] Maple : cpu = 0.04 (sec), leaf count = 35


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