\[ (a+x) y'(x)+x^2 y''(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.053988 (sec), leaf count = 37
\[\left \{\left \{y(x)\to \frac {c_1 (a+x)}{a+1}-\frac {c_2 x e^{a/x}}{a^2 (a+1)}\right \}\right \}\]
✓ Maple : cpu = 0.013 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) = \left ( x+a \right ) {\it \_C1}+{\it \_C2}\,{{\rm e}^{{\frac {a}{x}}}}x \right \} \]