\[ ((a+1) x+b) y'(x)-l y(x)+(x-1) x y''(x)=0 \] ✓ Mathematica : cpu = 0.0988282 (sec), leaf count = 120
\[\left \{\left \{y(x)\to (-1)^{b+1} c_2 x^{b+1} \, _2F_1\left (\frac {a}{2}+b-\frac {1}{2} \sqrt {a^2+4 l}+1,\frac {a}{2}+b+\frac {1}{2} \sqrt {a^2+4 l}+1;b+2;x\right )+c_1 \, _2F_1\left (\frac {a}{2}-\frac {1}{2} \sqrt {a^2+4 l},\frac {a}{2}+\frac {1}{2} \sqrt {a^2+4 l};-b;x\right )\right \}\right \}\] ✓ Maple : cpu = 0.054 (sec), leaf count = 92
\[y \relax (x ) = c_{1} \hypergeom \left (\left [\frac {a}{2}-\frac {\sqrt {a^{2}+4 l}}{2}, \frac {a}{2}+\frac {\sqrt {a^{2}+4 l}}{2}\right ], \left [-b \right ], x\right )+c_{2} x^{b +1} \hypergeom \left (\left [\frac {a}{2}-\frac {\sqrt {a^{2}+4 l}}{2}+b +1, \frac {a}{2}+\frac {\sqrt {a^{2}+4 l}}{2}+b +1\right ], \left [b +2\right ], x\right )\]