2.1107   ODE No. 1107

\[ a y(x)+(b+x) y'(x)+x y''(x)=0 \] Mathematica : cpu = 0.0206616 (sec), leaf count = 40


\[\left \{\left \{y(x)\to c_1 e^{-x} U(b-a,b,x)+c_2 e^{-x} L_{a-b}^{b-1}(x)\right \}\right \}\] Maple : cpu = 0.073 (sec), leaf count = 30


\[y \relax (x ) = {\mathrm e}^{-x} \left (\KummerU \left (-a +b , b , x\right ) c_{2}+\KummerM \left (-a +b , b , x\right ) c_{1}\right )\]