1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    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!

Another power series DE question

  1. Aug 27, 2011 #1
    1. The problem statement, all variables and given/known data

    Using power series, find the solution to the following DE

    y" + xy' + y=0

    Given data xo = 0

    y(0)=1 and y'(0) = 1

    2. Relevant equations


    y(x) = [itex]\sum[/itex]an(x-xo)^n for n= 0 to [itex]\infty[/itex]


    3. The attempt at a solution

    Please see attached file. The part circled at the top is the answer the tutorial sheet gives.

    Im thinking I could have a conceptual problem. Please feel free to point any misunderstandings I may have made

    thanks
     

    Attached Files:

  2. jcsd
  3. Aug 27, 2011 #2

    vela

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    When you reindex the first sum with n going to n+2, you need to change (n-1) to (n+1). In the y' term, you seem to have forgotten the coefficient x. It'll eliminate the need to reindex the second series. That in turn will fix your recurrence relation, hopefully.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Another power series DE question
Loading...