Results 1 to 3 of 3

Math Help - Wave Equation

  1. #1
    Newbie
    Joined
    Nov 2007
    Posts
    8

    Wave Equation

    Hey,

    Could someone run through a step by step procedure on how to solve a partial differentiation wave equation?

    I'm currently trying to figure out this problem:

    Consider an elastic string of length L whose ends are held fixed. The string is set in motion with no inital velocity from an initial position u(x,0) = f(x).
    Find the displacement u(x,t) for the given initial position f(x).

    f(x) = 2x/L 0 <= x <= L/2
    2(L-x) / L L/2 < x < L

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Nov 2007
    Posts
    8
    Also, what would be the difference if instead the problem stated:

    The string is set in motion from its equilibrium position with an inital velocity u(x,0) = f(x)

    as opposed to what I wrote above:

    The string is set in motion with no initial velocity from an inital position u(x,0) = f(x)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by AMIYY4U View Post
    Also, what would be the difference if instead the problem stated:

    The string is set in motion from its equilibrium position with an inital velocity u(x,0) = f(x)

    as opposed to what I wrote above:

    The string is set in motion with no initial velocity from an inital position u(x,0) = f(x)
    Its equilibrium is u(x,0)=0 with initial velocity u_t(x,0)=f(x).

    And the other one is the string has no initial velocity so u_t(x,0)=0 but its initial displacement is u(x,0)=f(x).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Wave equation help.
    Posted in the Differential Equations Forum
    Replies: 7
    Last Post: May 30th 2011, 11:58 PM
  2. Wave equation
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: October 15th 2009, 06:52 AM
  3. Partial differential equation-wave equation(2)
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: September 6th 2009, 09:54 AM
  4. Partial differential equation-wave equation - dimensional analysis
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: August 28th 2009, 12:39 PM
  5. wave equation
    Posted in the Calculus Forum
    Replies: 7
    Last Post: January 3rd 2009, 09:29 AM

Search Tags


/mathhelpforum @mathhelpforum