Correct way to solve this differential equation

  • Thread starter ehilge
  • Start date
  • #1
163
0

Homework Statement


Suppose a beam of length L is supported at x=0 and x=L. if the load per unit length is given by:

w(x)=(w0x)/L

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

a*y4(x)=(wx)/L

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

Homework Equations



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?
Thanks!
 

Answers and Replies

Related Threads on Correct way to solve this differential equation

Replies
2
Views
2K
Replies
4
Views
1K
Replies
8
Views
2K
Replies
5
Views
2K
  • Last Post
Replies
1
Views
651
Replies
17
Views
2K
Replies
1
Views
7K
  • Last Post
Replies
2
Views
1K
Replies
2
Views
876
Top