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Power series solutions to differential equations

  • Thread starter Kate2010
  • Start date
  • #1
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Homework Statement



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]

Homework Equations





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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Answers and Replies

  • #2
hunt_mat
Homework Helper
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This is the method of Frobenius, there are examples everywhere on the net.
 
  • #3
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Thanks :) I get it now.
 

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