• Support PF! Buy your school textbooks, materials and every day products Here!

Wave Motion

  • Thread starter bon
  • Start date
  • #1
bon
559
0

Homework Statement



Ok so hope someone will be able to help...

I've used the D'Alembert method to solve the wave equation and have got that the general form should be

y(x,t) = f(x+ct) + g(x-ct)

Now im also told that the time dependence at x=0 is sinusoidal..

that is, y(x,0) = sin(wt)...

How can i deduce that the full x,t dependence is given by:

y(x,t) = Asin(kx+wt) + Bsin(kx-wt)

where k = w/c?

Thank you

Homework Equations





The Attempt at a Solution



Not sure where to go..

It seems the conditions tell me that f(x) + g(x) = sinwt..cant see how that helps :S

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
bon
559
0
anyone :S?
 

Related Threads for: Wave Motion

  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
4K
  • Last Post
Replies
5
Views
980
  • Last Post
Replies
9
Views
714
Top