\[ l y(x)+4 x y''(x)-(x+2) y(x)+4 y(x)=0 \] ✓ Mathematica : cpu = 0.0706303 (sec), leaf count = 74
DSolve[4*y[x] + l*y[x] - (2 + x)*y[x] + 4*x*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{4} c_2 e^{-x/2} x \, _1F_1\left (\frac {1}{128} (-32 (l+(2-4 i))-128 i)+1;2;x\right )+\frac {1}{4} c_1 e^{-x/2} x U\left (\frac {1}{128} (-32 (l+(2-4 i))-128 i)+1,2,x\right )\right \}\right \}\] ✓ Maple : cpu = 0.045 (sec), leaf count = 25
dsolve(4*x*diff(diff(y(x),x),x)+4*y(x)-(x+2)*y(x)+l*y(x)=0,y(x))
\[y \left (x \right ) = c_{1} \WhittakerM \left (\frac {l}{4}+\frac {1}{2}, \frac {1}{2}, x\right )+c_{2} \WhittakerW \left (\frac {l}{4}+\frac {1}{2}, \frac {1}{2}, x\right )\]