\[ x^2 y''(x)-(x-1) x y'(x)+(x-1) y(x)=0 \] ✓ Mathematica : cpu = 0.0251719 (sec), leaf count = 37
DSolve[(-1 + x)*y[x] - (-1 + x)*x*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_2 \left (x^2 \text {Ei}(x)-e^x x-e^x\right )}{2 x}+c_1 x\right \}\right \}\] ✓ Maple : cpu = 0.033 (sec), leaf count = 31
dsolve(x^2*diff(diff(y(x),x),x)-x*(x-1)*diff(y(x),x)+(x-1)*y(x)=0,y(x))
\[y \left (x \right ) = \frac {\Ei \left (1, -x \right ) c_{2} x^{2}+c_{2} \left (1+x \right ) {\mathrm e}^{x}+c_{1} x^{2}}{x}\]