ODE No. 1113

\[ -a y(x)+(b-x) y'(x)+x y''(x)=0 \]

✓ Mathematica : cpu = 0.0091343 (sec), leaf count = 24

DSolve[-(a*y[x]) + (b - x)*Derivative[1][y][x] + x*Derivative[2][y][x] == 0,y[x],x]

\[\{\{y(x)\to c_1 U(a,b,x)+c_2 L_{-a}^{b-1}(x)\}\}\]

✓ Maple : cpu = 0.106 (sec), leaf count = 17

dsolve(x*diff(diff(y(x),x),x)+(b-x)*diff(y(x),x)-a*y(x)=0,y(x))

\[y \left (x \right ) = c_{1} \operatorname {KummerM}\left (a , b , x\right )+c_{2} \operatorname {KummerU}\left (a , b , x\right )\]