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Partial differential equations with laplas

  1. Feb 21, 2007 #1
    1. The problem statement, all variables and given/known data

    Solve the partial differential equation using laplas transforms:


    given U(x,0)=2

    There are more initial conditions but i am just trying to get to the general solution

    3. The attempt at a solution

    First take laplas of the equation. Then I am trying to get it into a differential equation form that i know how to solve.

    im not sure what method its called but I get

    r^2 - s/(a^2)=0

    Im not to sure if that is correct.
  2. jcsd
  3. Feb 21, 2007 #2
    I should add that after taking the laplas of the equation I get:

  4. Feb 21, 2007 #3
    solve this using separation of variables in which you assume that u is

    u(x,t) = X(x)T(t)

    once you substitute this back int othe original equation you can separate that into two second order lienar DEs which you can solve easily.
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