\[ -(x+1) (a+b) y'(x)+a b x y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.094961 (sec), leaf count = 107
\[\left \{\left \{y(x)\to c_1 U\left (-\frac {-a^2-b a-a+b}{a-b},a+b+2,(a-b) x\right ) e^{(a+b+1) \log (x)+b x}+c_2 L_{\frac {-a^2-a b-a+b}{a-b}}^{a+b+1}(x (a-b)) e^{(a+b+1) \log (x)+b x}\right \}\right \}\]
✓ Maple : cpu = 0.125 (sec), leaf count = 91
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{bx}}{{\sl M}\left ({\frac {{a}^{2}+ab+a-b}{a-b}},\,b+2+a,\,x \left ( a-b \right ) \right )}{x}^{a+b+1}+{\it \_C2}\,{{\rm e}^{bx}}{{\sl U}\left ({\frac {{a}^{2}+ab+a-b}{a-b}},\,b+2+a,\,x \left ( a-b \right ) \right )}{x}^{a+b+1} \right \} \]