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Homework Help: Verhulst equation

  1. Oct 16, 2005 #1
    for the following question:
    y`-Ay=-By^2

    my problem:
    Suppose u=y^(-1)
    so u`=-y^(-2)y`=B-Au
    so du/(B-Au)= dx
    => B-Au=ce^x
    => u=(B-ce^x)/A
    so y=1/u=a/(B-ce^x)

    however, the correct answer should be y=1/[(B/A)+ce^(-ax)]
    does anybody know where my calculations went wrong?
     
  2. jcsd
  3. Oct 17, 2005 #2

    hotvette

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    Homework Helper

    Take a look at this step again. I think one of the terms has the wrong sign.
     
  4. Oct 17, 2005 #3
    i see~
    thanks!!!
     
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