\[ \left (x^2-a^2\right ) y'(x)^2+2 x y(x) y'(x)+y(x)^2=0 \] ✓ Mathematica : cpu = 0.0133786 (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 = 0.038 (sec), leaf count = 23
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{a-x}},y \left ( x \right ) ={\frac {{\it \_C1}}{x+a}} \right \} \]