\[ (a+x) y'(x)+y'(x)^2-y(x)=0 \] ✓ Mathematica : cpu = 0.0038321 (sec), leaf count = 18
\[\left \{\left \{y(x)\to a c_1+c_1 x+c_1{}^2\right \}\right \}\] ✓ Maple : cpu = 0.025 (sec), leaf count = 20
\[\left \{y \left (x \right ) = c_{1} \left (c_{1}+a +x \right ), y \left (x \right ) = -\frac {\left (a +x \right )^{2}}{4}\right \}\]