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Differential equations; wave equation

  1. Mar 29, 2009 #1
    1. The problem statement, all variables and given/known data
    the transverse displacement y(x,t) (assumed small) of a string stretched between the points x=0 and x=a satisfies the equation
    d2y/c2dt2=d2y/dx2

    find the solution satisfying the following (t=0) initial conditions
    (i) y(x,0)= Lsin([tex]\pi[/tex]x/a), (dy/dt)(x,0)=0
    all derivatives are partial.
    2. Relevant equations



    3. The attempt at a solution
    there are more parts to the problem but if i can get started on this one i think i can figure them out. i don't know where to start since the y(x,0) doesn't depend on t. so when i take the partial with respect to t would it just be 0??
     
  2. jcsd
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