transform a differential equation to Sturm Liouville

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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?