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
    9
    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, 10:58 PM
  2. Wave equation
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: October 15th 2009, 05:52 AM
  3. Partial differential equation-wave equation(2)
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: September 6th 2009, 08:54 AM
  4. Partial differential equation-wave equation - dimensional analysis
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: August 28th 2009, 11:39 AM
  5. wave equation
    Posted in the Calculus Forum
    Replies: 7
    Last Post: January 3rd 2009, 08:29 AM

Search Tags


/mathhelpforum @mathhelpforum