I'm revising at the moment and a bit stumped on question 4 http://www.maths.ox.ac.uk/system/files/attachments/AC104.pdf [Broken]
The Attempt at a Solution
I think for the first part of the question, the regular singular points are 0 and -2.
However, I am unsure as to how to tackle the next part. I have assumed it is ok to differentiate the power series term by term and have done so and subbed it back into the original equation, now I feel like I need to equate coefficients, but I feel like I have no idea what I'm doing. If you could point me in the right direction I'd be really grateful :).
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