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Homework Help: Help with PDE (first partial derivatives)

  1. May 26, 2007 #1

    tpm

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    1. The problem statement, all variables and given/known data

    I would like to know how to solve the PDE

    [tex] \frac{\partial f}{\partial x}+\frac{\partial f}{\partial y}+\frac{\partial f}{\partial z}=g(x,y,z) [/tex]

    * f is the unknown function * g(x,y,z) is a known and smooth function

    2. Relevant equations

    [tex] divf=g [/tex]

    3. The attempt at a solution

    - I have tried using 'Divergence theorem' but got no further info abut f.

    - If g(x,y,z)= g(x)+g(y)+g(z) i can provide a solution othewise i have no
    idea ..
     
  2. jcsd
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