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Homework Statement
I'm trying to solve this DE: 4xy''+2y'+(cosx)y=0 using a series solution.
Homework Equations
The Attempt at a Solution
See attached PDF. I tried writing the cosine term as an infinite series, but that gives me a messy double summation. And in the end, I get an index that is not an integer... Any hints on how to deal with the cosine term?Attachments

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