\[ -(x+1) (a+b) y'(x)+a b x y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0950784 (sec), leaf count = 87
\[\left \{\left \{y(x)\to e^{b x} x^{a+b+1} \left (c_1 U\left (\frac {a^2+b a+a-b}{a-b},a+b+2,(a-b) x\right )+c_2 L_{-\frac {a^2+a b+a-b}{a-b}}^{a+b+1}(x (a-b))\right )\right \}\right \}\]
✓ Maple : cpu = 0.11 (sec), leaf count = 82
\[ \left \{ y \left ( x \right ) ={x}^{a+b+1}{{\rm e}^{bx}} \left ( {{\sl U}\left ({\frac {{a}^{2}+ab+a-b}{a-b}},\,a+b+2,\,x \left ( a-b \right ) \right )}{\it \_C2}+{{\sl M}\left ({\frac {{a}^{2}+ab+a-b}{a-b}},\,a+b+2,\,x \left ( a-b \right ) \right )}{\it \_C1} \right ) \right \} \]