1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Series solutions for 2nd order linear ODEs

  1. Nov 30, 2008 #1
    1. The problem statement, all variables and given/known data

    Finding series solutions to 2nd order linear ODEs

    2. Relevant equations

    http://www.math.duke.edu/~wang/108Au05/sec5.7.pdf [Broken]
    (see #s 6 and 7; I attached the link since it would probably look too messy to write it out)

    3. The attempt at a solution

    For the particular problem I'm working on, there are two roots to the indicial equation. r1 does not equal r2, and the difference is 1.5 so it is NOT an integer. According to my book, for these types of problems we should use the same equations that I referred to in the link, but the answer key for all these problems does not include the r1 or r2 in the summation (i.e., it looks like they did just the summation of a_n * x^n, 1 to infinity, not a_n * r1 * x^n). Can somebody please explain?
    Last edited by a moderator: May 3, 2017
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted