\[ (a+x) y'(x)+y'(x)^2-y(x)=0 \] ✓ Mathematica : cpu = 0.00582627 (sec), leaf count = 18
\[\left \{\left \{y(x)\to a c_1+c_1 x+c_1^2\right \}\right \}\]
✓ Maple : cpu = 0.608 (sec), leaf count = 32
\[ \left \{ y \left ( x \right ) =-{\frac {{x}^{2}}{4}}-{\frac {ax}{2}}-{\frac {{a}^{2}}{4}},y \left ( x \right ) ={{\it \_C1}}^{2}+{\it \_C1}\,a+{\it \_C1}\,x \right \} \]