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October 29th, 2012, 03:12 PM  #1 
Member Joined: Dec 2010 Posts: 51 Thanks: 0  Series solution near regular singular point
So you have and at is a regular singular point. Therefore you plug in the generalized power series into the differential equation. You should get: soo... the indicial equation is Now, for my question: Why do I consider r=1, but not r=0? The back of the book only has as a solution. Why is r=0 not a solution? Is there a general rule on when to and when not to consider an indicial equation root? Also, what if I've gotten ? or (where k is nonzero)? Thanks 

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point, regular, series, singular, solution 
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