\[ ((a+1) x+b) y'(x)+(x-1) x y''(x)=0 \] ✓ Mathematica : cpu = 0.043411 (sec), leaf count = 33
\[\left \{\left \{y(x)\to \frac {c_1 x^{b+1} \, _2F_1(b+1,a+b+1;b+2;x)}{b+1}+c_2\right \}\right \}\] ✓ Maple : cpu = 0.219 (sec), leaf count = 27
\[\{y \left (x \right ) = c_{2} x^{b +1} \hypergeom \left (\left [b +1, a +b +1\right ], \left [b +2\right ], x\right )+c_{1}\}\]