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OK so my textbook claims that the correct differential equation for a logistic growth scenario is

y'=ky(1-(y/carry capacity))

However, we were given a handout which claims that it should be

y'=ky(carrying capacity-y)

Of course they both integrate into two completely different equations, but which SHOULD be used when I am given a logistic growth scenario type of question?

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  • $\begingroup$ Are you sure that $k$ is the same in both...? $\endgroup$ – John B Jan 7 '17 at 21:40
  • $\begingroup$ They're the same, just for different $k$s $\endgroup$ – Matthew Towers Jan 7 '17 at 21:40
  • $\begingroup$ the K should be same i believe, so yeah. $\endgroup$ – Prandals Jan 7 '17 at 21:40
  • $\begingroup$ so ur saying that the K on the handout is actually "K" = k(carrying capacity)? $\endgroup$ – Prandals Jan 7 '17 at 21:42
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LOL thanks for the hints, apparently the "k" in the two equations are not the "same" because the the K on the handout is actually = (k of textbook)(carrying capacity)

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