\[ \left (x^2-a^2\right ) y'(x)^2+2 x y(x) y'(x)+y(x)^2=0 \] ✓ Mathematica : cpu = 0.0350793 (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 = 0.017 (sec), leaf count = 23
\[\left \{y \left (x \right ) = \frac {c_{1}}{a -x}, y \left (x \right ) = \frac {c_{1}}{a +x}\right \}\]