\[ (a+x) y'(x)+y'(x)^2-y(x)=0 \] ✓ Mathematica : cpu = 0.003348 (sec), leaf count = 18
\[\left \{\left \{y(x)\to a c_1+c_1 x+c_1{}^2\right \}\right \}\] ✓ Maple : cpu = 0.015 (sec), leaf count = 20
\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( {\it \_C1}+a+x \right ) ,y \left ( x \right ) =-{\frac { \left ( x+a \right ) ^{2}}{4}} \right \} \]