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A question on PDE

  1. Dec 30, 2008 #1
    Hi, could anyone tell me what kind of technique I should use to solve the following PDE?

    dG/dt=(n*s-u)(s-1)dG/ds

    Many thanks and happy new year to everyone:)
     
  2. jcsd
  3. Dec 30, 2008 #2

    HallsofIvy

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    n and u are constants?

    You can solve
    [tex]\frac{ds}{(ns-u)(s-1)}= dt[/tex]
    for the "characteristic" g(u,s)= constant.

    For F(t) any differentiable function of single variable, G(u, s)= F(g(u,s)) is a solution to the differential equation.
     
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