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First order non linear partial differential equations

  1. Nov 15, 2009 #1
    Consider the following function of space and time for a propagating plane wave were nonlinear effects are included via a constant "B"

    u(x,t) = u[t - x/[c + Bu(x,t)]]


    show that u(x,t) satisfies a first order non linear PDE.
     
  2. jcsd
  3. Nov 15, 2009 #2

    Mark44

    Staff: Mentor

    We're not here to do your work for you. Show us what you have tried to do, and we can go from there.
     
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