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I got an O.D.E down to the form

f^{ll}(x) + ([tex]\lambda[/tex] - 16x^{2})f(x) = 0

I omitted some constants to make it look simple. What I'm trying to do is find a function f(x) to normalize. Solving by using roots ended up giving me an exponential function I am unable to solve. However I think if I could convert the above to proper Sturm-Liouville form I might find an alternative expression for y(x) so that I could normalize its square. Any thoughts? I'm not completely competent in the aspects D.E as of yet so I may have missed a simpler route. Input is greatly appreciated.

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# Close to Sturm-Liouville form

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