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I'm bit stuck with a problem (last year of technical university), and I've wasted all my book resources, and still was unable to find solution to one particular equation. It's very similar to many others I've encounter, but yet no strategies seems to be working on this one. Equation goes like this:

2y'' - xy' - 2y = 0

Sounds very simple, but I've already wasted several days trying to crack it down. All help is appreciated, but most of all, solution that meets the end.

Thank you in advance :)