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Analysis Books on solving DE with infinite series?

  1. Nov 2, 2016 #1
    Hi folks,

    I was wondering if there are books that explain how to solve differential equations using infinite series. I know it is possible to do it since Poincaré used that method.

    Do you know which ones are the best?

    I find books on infinite series but they talk just about series, convergence etc but not specifically about solving differential equations, maybe there is a chapter but nothing else.
     
  2. jcsd
  3. Nov 2, 2016 #2

    Dr Transport

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    Boyce and Diprima has a couple of chapters on it, so does Morse and Feshbach. Pretty much every DiffEQ text I have ever seen has at least a chapter on that subject.
     
  4. Nov 2, 2016 #3
    Thanks for those specific names.

    Yes, there are chapters on this but I would like to have a kind of compilation showing which differential equations could be solved with every infinite series. At least the most important for physics.
     
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