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PDE HW Transport equation

  1. Jul 16, 2013 #1
    1. The problem statement, all variables and given/known data

    Hi guys, I'm having trouble with a homework problem:

    I will have to solve for the IVP of a transport equation on R:

    the equations are:

    Ut-4Ux=t^2 for t>0, XER
    u=cosx for t=0, XER




    2. Relevant equations

    transport equation

    3. The attempt at a solution


    This non-linear transport solution is throwing me off. I don't know if I am supposed to use D'alemberts(As I have been doing for my previous HW problems)
    Also, I can't directly solve for the homogeneous equation which in turn makes the u=cos x part very hard to solve
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 17, 2013 #2

    haruspex

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