2.449   ODE No. 449

\[ \left (x^2-a^2\right ) y'(x)^2+2 x y(x) y'(x)+y(x)^2=0 \] Mathematica : cpu = 0.0305393 (sec), leaf count = 27


\[\left \{\left \{y(x)\to \frac {c_1}{a-x}\right \},\left \{y(x)\to \frac {c_1}{a+x}\right \}\right \}\] Maple : cpu = 0.02 (sec), leaf count = 23


\[y \relax (x ) = \frac {c_{1}}{a -x}\]