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Thread: first order PDE

  1. October 26th 2010, 11:16 AM #1
    sinichko
    sinichko is offline
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    first order PDE

    Help me please.

    1. Solve the equation:

    x_{2}\frac{\partial u}{\partial x_{1}}-x_{1}\frac{\partial u}{\partial x_{2}}=f

    What can be a noncharacteristic initial curve?

    2. Solve:

    u\frac{\partial u}{\partial x_{1}}+\frac{\partial u}{\partial x_{2}}=1
    u=\frac{s}{2} , x_{1}=x_{2}=s, 0<s<1
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  2. October 26th 2010, 05:09 PM #2
    HallsofIvy
    HallsofIvy is offline
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    "Solve", no. Help, yes. What have you done on this yourself?
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