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PDE wave equation.

  1. Jan 15, 2012 #1
    1. The problem statement, all variables and given/known data
    Having exams on monday but still having problems with PDE. I thought i got it until i saw the teacher's solution different from mine and i have no idea wtf she doing also.. Contacting her is not an option. Please give me a hand with this.. Much appreciated.

    Solve the equation of vibrations of a stretched string of length 2,

    d2u/dt2 = 16 * d2u/dx2 (0<x<2)
    *2nd order differential

    for t>0. The string is clamped at each end, so that the boundary conditions are:

    u(0,t) = u(2,t) = 0

    At t=0, the initial displacement of the string is,

    u(x,0) = 2sin (pi * x)

    and its velocity

    ut(x,0) = 2sin (pi/2 * x)
    *t is a subscript


    2. Relevant equations



    3. The attempt at a solution

    Below is my attempt,

    2drw9r7.jpg

    2s1uc0k.jpg

    This is the lecturer's solution,

    ulwdv.jpg
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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