\[ ((a+1) x+b) y'(x)+(x-1) x y''(x)=0 \] ✓ Mathematica : cpu = 0.0402535 (sec), leaf count = 33
DSolve[(b + (1 + a)*x)*Derivative[1][y][x] + (-1 + x)*x*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_1 x^{b+1} \, _2F_1(b+1,a+b+1;b+2;x)}{b+1}+c_2\right \}\right \}\] ✓ Maple : cpu = 0.184 (sec), leaf count = 27
dsolve(x*(x-1)*diff(diff(y(x),x),x)+((a+1)*x+b)*diff(y(x),x)=0,y(x))
\[y \left (x \right ) = c_{1}+\hypergeom \left (\left [b +1, a +b +1\right ], \left [b +2\right ], x\right ) x^{b +1} c_{2}\]