\[ \boxed { \left ( x-2 \right ) x{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) - \left ( x-2 \right ) x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -2\,{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,y \left ( x \right ) =0} \]
Mathematica: cpu = 0.119015 (sec), leaf count = 66 \[ \left \{\left \{y(x)\to -\frac {c_3 \left (4 e^x \text {Ei}(2-x)-e^2 \left (x^2 \log (2-x)-x^2 \log (x)+2 x+2\right )\right )}{4 e^2}+c_1 x^2+c_2 e^x\right \}\right \} \]
Maple: cpu = 0.297 (sec), leaf count = 47 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{2}+{\it \_C2}\,{{\rm e}^ {x}}+{\it \_C3}\, \left ( -{\frac {{x}^{2}\ln \left ( x \right ) }{4}}+{ \frac {{x}^{2}\ln \left ( x-2 \right ) }{4}}+{\it Ei} \left ( 1,x-2 \right ) {{\rm e}^{x-2}}+{\frac {x}{2}}+{\frac {1}{2}} \right ) \right \} \]