\[ (a+x) y'(x)+y'(x)^2-y(x)=0 \] ✓ Mathematica : cpu = 0.00529414 (sec), leaf count = 13
\[\left \{\left \{y(x)\to c_1 \left (a+c_1+x\right )\right \}\right \}\]
✓ Maple : cpu = 0.023 (sec), leaf count = 20
\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( {\it \_C1}+a+x \right ) ,y \left ( x \right ) =-{\frac { \left ( x+a \right ) ^{2}}{4}} \right \} \]