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How to solve 2nd order non-linear DE with exponential

  1. Apr 24, 2009 #1

    Does anyone knows how to solve this 2nd order non linear differential equation with exponential components?

    d"V/dx" = A*exp(-B*V)-C*exp(B*V)

    where A, B, C are constants.

  2. jcsd
  3. Apr 25, 2009 #2


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    Hi El Flea! :smile:

    (try using the X2 tag just above the Reply box :wink:)

    Hint: you can make this a first-order equation by using the standard trick:

    d2V/dx2 = dV'/dx = dV'/dV dV/dx = V' dV'/dV :wink:

    (which btw is where the 1/2 mv2 in energy equations comes from)
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