\[ a y'(x)+(x-1) x y''(x)-2 y(x)=0 \] ✓ Mathematica : cpu = 0.212453 (sec), leaf count = 118
\[\left \{\left \{y(x)\to \frac {c_1 \left (a^2+2 a x-a+2 x^2-2 x\right )}{a^2+3 a+4}+\frac {c_2 x^{a+1} \left (a^2+2 a x-a+2 x^2-2 x\right ) (1-x)^{1-a}}{(a-1) a (a+1) \left (a^2+3 a+4\right ) \left (a^2+a (2 x-1)+2 (x-1) x\right )}\right \}\right \}\]
✓ Maple : cpu = 0.108 (sec), leaf count = 42
\[ \left \{ y \left ( x \right ) = \left ( {a}^{2}+2\,ax+2\,{x}^{2}-a-2\,x \right ) {\it \_C1}+{\frac {{\it \_C2}\, \left ( x-1 \right ) {x}^{a}x}{ \left ( x-1 \right ) ^{a}}} \right \} \]