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: Correct way to solve this differential equation

  1. Oct 28, 2009 #1
    1. The problem statement, all variables and given/known data
    Suppose a beam of length L is supported at x=0 and x=L. if the load per unit length is given by:


    Then the differential equation for the deflection, y(x), of the beam is given by


    Where a and w0 are constants

    a)find the fourier series for the odd periodic extension
    b) Find a particular solution for this differential equation

    2. Relevant equations

    3. The attempt at a solution
    So, I know how to do part (a), what worries me about this problem is (b). It seems like to solve the equation, I should just be able to divide the a over and integrate 3 times to recover y(x). To me this makes perfect sense, however, the question is in a section mainly over fourier transforms so it seems unlikely that the question wouldn't include fouriers. Also, these questions are normally constructed so you have to use part (a) to find (b). So, is there any reason why I can't solve (b) in the simple manner I described and if so, how could I go about using fourier transforms to solve the problem?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

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