\[ (x-2) x y^{(3)}(x)-(x-2) x y''(x)-2 y'(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 0.122839 (sec), leaf count = 65
\[\left \{\left \{y(x)\to \frac {c_3 \left (e^2 \left (x^2 \log (2-x)-x^2 \log (x)+2 x+2\right )-4 e^x \text {Ei}(2-x)\right )}{4 e^2}+c_1 x^2+c_2 e^x\right \}\right \}\]
✓ Maple : cpu = 0.379 (sec), leaf count = 51
\[ \left \{ y \left ( x \right ) ={\it \_C3}\,{\it Ei} \left ( 1,x-2 \right ) {{\rm e}^{x-2}}+{\frac {{\it \_C3}\,{x}^{2}\ln \left ( x-2 \right ) }{4}}+{\it \_C2}\,{{\rm e}^{x}}-{\frac {{\it \_C3}\,\ln \left ( x \right ) {x}^{2}}{4}}+{\frac { \left ( 2\,x+2 \right ) {\it \_C3}}{4}}+{\it \_C1}\,{x}^{2} \right \} \]