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How to solve

  1. Sep 27, 2009 #1
    1. The problem statement, all variables and given/known data
    Solve for z: 2Pz = e^(zL) - e^(-zL)


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 27, 2009 #2

    HallsofIvy

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    Staff Emeritus
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    Generally speaking, equations that involve the unknown variable both inside and outside a transcendental function cannot be solved in terms of elementary fuctions.

    They can sometimes be solved in terms of "special functions". Here it looks like you ought to be able to solve that using "Lambert's W function" which is defined as the inverse function to f(x)= xex: W(xe^x)= x.
     
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