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Find the corresponding Sturm-Liouville operator and formulate the Sturm-Liouville problem. Hence, define the inner product for which the eigenfunctions are orthogonal.

I have $L=-e^-2x. d/dx(e^2x.d/dx)$ (how to do fractions in code?)

I'm not sure what is meant by formulate the problem but perhaps Ly=ty.

I don't know how to choose an inner product.

I have $L=-e^-2x. d/dx(e^2x.d/dx)$ (how to do fractions in code?)

I'm not sure what is meant by formulate the problem but perhaps Ly=ty.

I don't know how to choose an inner product.