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Math Help - Travelling wave solution

  1. #1
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    Travelling wave solution

    Hello, I'm hoping for some help with the following question.

    Show that  u = \frac{1}{(1+exp[bz])^{2}} for b > 0 solves the following equation for a particular value of b:

     u'' + cu' + u(1-u) = 0 where  u' = \frac{du}{dz} etc.

    I've got to the following point and don't know where to go from here:
     (4-2b^{2}-2cb) + e^{bz}(6+2b^{2}-2cb) + e^{2bz}(4b^{2}+4) + e^{3bz} = 0

    This question's only worth about 7 marks out of 100 so I don't think it should take too long but I'm stumped!

    Any help would be much appreciated
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  2. #2
    Forum Admin topsquark's Avatar
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    Re: Travelling wave solution

    Thread temporarily closed.

    -Dan

    Thread reopened.

    This is a problem for a graded assignment. I ask that all members make sure that sophiew3 does the work. You may guide, but do not just give out the solution.

    -Dan
    Last edited by topsquark; May 6th 2014 at 03:02 PM.
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