Math Solutions

(Solution Library) Show that the logistic equation, (d N)/(d t)=r N(1-N/k) has the solution N(t)=(k)/(1+(frack)N_0-1) e^-r t treating the logistic equation as

Question: Show that the logistic equation,

\(\frac{d N}{d t}=r N\left(1-\frac{N}{k}\right)\)

has the solution

\(N(t)=\frac{k}{1+\left(\frac{k}{N_{0}}-1\right) e^{-r t}}\)

  1. treating the logistic equation as a separable equation and,
  2. treating the logistic equation as a Bernoulli equation

Price: $2.99
Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document


∴ Other downloads you may be interested in ∴

log in to your account

Forgot password?
Don't have a membership account?
REGISTER

reset password

Back to
log in

sign up

Back to
log in