\[ (a+x) y'(x)+x^2 y''(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.053298 (sec), leaf count = 33
\[\left \{\left \{y(x)\to \frac {c_1 (a+x)-\frac {c_2 x e^{a/x}}{a^2}}{a+1}\right \}\right \}\]
✓ Maple : cpu = 0.014 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) = \left ( x+a \right ) {\it \_C1}+{\it \_C2}\,x{{\rm e}^{{\frac {a}{x}}}} \right \} \]