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Math Help - Unable to solve PDE for boundary conditions.

  1. #1
    Junior Member
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    Oct 2010
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    Exclamation Unable to solve PDE for boundary conditions.

    I have this assignment question which I am stuck on.

    U
    t + 2*Ux = -(U-20) with U(0,t) = 50 & U(x,0) = 20

    I get; dt/1 = dx/2 = du/-(U-20)

    From which I get b = t - (1/2)x

    And U(x,t) = e^[-t-f(b)] + 20

    For which I can only satisfy the initial condition U(0,t) = 50

    I am struggling to understand what I am meant to do, please help.
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  2. #2
    Senior Member
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    Re: Unable to solve PDE for boundary conditions.

    U(0,t) = 50 & U(x,0) = 20
    U(0,0)=50=20 inconsistency ?
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