I have to solve the following excercise:
Can this differential equation be written into Sturm-Liouville form?
$$ x^2 y'' + \alpha x y' + λ y = 0, \quad y=y(x)$$
for $0 \le x \le L$
I have reached the following solution :
$$ e^{\alpha \ln x} y'' + (a/x)e^{\alpha \ln x}y' + (λ/x^2)y = 0$$
but I do not feel it is correct, can someone guide me?