\[ (-a-x) y(x)+x^2 y''(x)-\left (x^2-2 x\right ) y'(x)=0 \] ✓ Mathematica : cpu = 0.0131615 (sec), leaf count = 78
DSolve[(-a - x)*y[x] - (-2*x + x^2)*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{2} (x-\log (x))} J_{\frac {1}{2} \sqrt {4 a+1}}\left (-\frac {i x}{2}\right )+c_2 e^{\frac {1}{2} (x-\log (x))} Y_{\frac {1}{2} \sqrt {4 a+1}}\left (-\frac {i x}{2}\right )\right \}\right \}\] ✓ Maple : cpu = 0.043 (sec), leaf count = 43
dsolve(x^2*diff(diff(y(x),x),x)-(x^2-2*x)*diff(y(x),x)-(x+a)*y(x)=0,y(x))
\[y \left (x \right ) = \frac {{\mathrm e}^{\frac {x}{2}} \left (\BesselK \left (\frac {\sqrt {4 a +1}}{2}, \frac {x}{2}\right ) c_{2}+\BesselI \left (\frac {\sqrt {4 a +1}}{2}, \frac {x}{2}\right ) c_{1}\right )}{\sqrt {x}}\]