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Math Help - Solve du/dt + 2du/dx=-u for u(x, t)

  1. #1
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    Solve du/dt + 2du/dx=-u for u(x, t)

    hi guys, having trouble completing this equation

    du/dt + 2du/dx=-u
    solve for u(x,t)

    for initial conditions t=0 and u=1 for x<0 and u=0 for x>0
    once solving the equation do i give 2 solutions? one for u=1 and the other for u=0?
    if any one has an idea of how to get started with the diff equation it would be much appreciated.

    thanks in advance
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by b0mb3rz View Post
    hi guys, having trouble completing this equation

    du/dt + 2du/dx=-u
    solve for u(x,t)

    for initial conditions t=0 and u=1 for x<0 and u=0 for x>0
    once solving the equation do i give 2 solutions? one for u=1 and the other for u=0?
    if any one has an idea of how to get started with the diff equation it would be much appreciated.

    thanks in advance
    This qualifies as a first order quasilinear PDE, so you can use the method of characteristics.

    -Dan
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