\[ -(a+2 x y(x)) y'(x)+x^2 y'(x)^2+y(x)^2=0 \] ✓ Mathematica : cpu = 0.365575 (sec), leaf count = 47
\[\left \{\left \{y(x)\to \frac {x-2 \sqrt {a} c_1}{4 c_1{}^2}\right \},\left \{y(x)\to \frac {x+2 \sqrt {a} c_1}{4 c_1{}^2}\right \}\right \}\] ✓ Maple : cpu = 0.05 (sec), leaf count = 36
\[\left \{y \left (x \right ) = -\frac {a}{4 x}, y \left (x \right ) = c_{1} x -\sqrt {c_{1} a}, y \left (x \right ) = c_{1} x +\sqrt {c_{1} a}\right \}\]