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Verhulst equation

by asdf1
Tags: equation, verhulst
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asdf1
#1
Oct16-05, 03:26 AM
P: 736
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?
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hotvette
#2
Oct17-05, 12:17 AM
HW Helper
P: 925
Quote Quote by asdf1
so u`=-y^(-2)y`=B-Au
Take a look at this step again. I think one of the terms has the wrong sign.
asdf1
#3
Oct17-05, 06:20 AM
P: 736
i see~
thanks!!!


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