\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) =-2\,{\frac { \left ( x-2 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{x \left ( x-1 \right ) }}+2\,{\frac { \left ( 1+x \right ) y \left ( x \right ) }{{x}^{2} \left ( x-1 \right ) }}=0} \]
Mathematica: cpu = 0.744094 (sec), leaf count = 54 \[ \left \{\left \{y(x)\to \text {DifferentialRoot}\left (\{\unicode {f818},\unicode {f817}\}\unicode {f4a1}\left \{(-2 \unicode {f817}-2) \unicode {f818}(\unicode {f817})+(2 \unicode {f817}-4) \unicode {f818}'(\unicode {f817})+(\unicode {f817}-1) \unicode {f817} \unicode {f818}''(\unicode {f817})=0,\unicode {f818}(2)=c_1,\unicode {f818}'(2)=c_2\right \}\right )(x)\right \}\right \} \]
Maple: cpu = 0.016 (sec), leaf count = 20 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{{x}^{2}}}+{\frac {{ \it \_C2}\, \left ( x-1 \right ) ^{3}}{{x}^{2}}} \right \} \]