\[ -(a+2 x y(x)) y'(x)+x^2 y'(x)^2+y(x)^2=0 \] ✓ Mathematica : cpu = 0.300038 (sec), leaf count = 47
\[\left \{\left \{y(x)\to \frac {x-2 \sqrt {a} c_1}{4 c_1^2}\right \},\left \{y(x)\to \frac {2 \sqrt {a} c_1+x}{4 c_1^2}\right \}\right \}\]
✓ Maple : cpu = 0.095 (sec), leaf count = 36
\[ \left \{ y \left ( x \right ) =-{\frac {a}{4\,x}},y \left ( x \right ) ={\it \_C1}\,x-\sqrt {{\it \_C1}\,a},y \left ( x \right ) ={\it \_C1}\,x+\sqrt {{\it \_C1}\,a} \right \} \]