1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Series solution near an ordinary point

  1. Oct 4, 2006 #1
    some help with series solutions

    I'm needing help on series solutions. It's been a while since I worked on them.


    y"+xy'+y=0; y(0)=1. y'(0)=0
    Last edited: Oct 4, 2006
  2. jcsd
  3. Oct 5, 2006 #2


    User Avatar
    Homework Helper

    is [itex] \phi (x) [/itex] a solution of the initial value problem?

    if it its then start with

    [tex] \phi '' (x) + x \phi ' (x) +\phi (x) = 0 [/tex]
  4. Oct 5, 2006 #3


    User Avatar
    Science Advisor

    [tex]\phi'''(x)+ x\phi''(x)+ \phi'(x)= 0[/tex]
    [tex]\phi''''(x)+ x\phi'''(x)+ \phi''(x)= 0[/tex]
  5. Oct 8, 2006 #4
    I have a question that involves using those derivatives. It's asks to determine the values at those derivatives with y(0)=1, y'(0)=1

    When I used those numbers I didn't get the correct answer, which is -1, 0, 3. I think the derivatives are wrong.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook