\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +a{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -xy \left ( x \right ) =0} \]
Mathematica: cpu = 0.501564 (sec), leaf count = 46 \[ \left \{\left \{y(x)\to \text {DifferentialRoot}\left (\{\unicode {f818},\unicode {f817}\}\unicode {f4a1}\left \{\unicode {f818}''(\unicode {f817}) \unicode {f817}^2-\unicode {f818}(\unicode {f817}) \unicode {f817}+a \unicode {f818}'(\unicode {f817})=0,\unicode {f818}(1)=c_1,\unicode {f818}'(1)=c_2\right \}\right )(x)\right \}\right \} \]
Maple: cpu = 0.140 (sec), leaf count = 32 \[ \left \{ y \left ( x \right ) ={\it DESol} \left ( \left \{ {\frac { {\rm d}^{2}}{{\rm d}{x}^{2}}}{\it \_Y} \left ( x \right ) +{\frac {a{ \frac {\rm d}{{\rm d}x}}{\it \_Y} \left ( x \right ) }{{x}^{2}}}-{\frac {{\it \_Y} \left ( x \right ) }{x}} \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right \} \]