A mathematical model for the area A (in cm2 ) that a colony of bacteria (B. dendroides)

Chapter 6, Problem 14

(choose chapter or problem)

A mathematical model for the area A (in \(cm^{2}\)) that a colony of bacteria (B. dendroides) occupies is given by

\(\frac{d A}{d t}=A(2.128-0.0432 A)\)

Suppose that the initial area is 0.24 \(cm^{2}\)

(a) Use the RK4 method with h=0.5 to complete the following table.

(b) Use a numerical solver to graph the solution of the initial value problem. Estimate the values A(1), A(2), A(3), A(4), and A(5) from the graph.

(c) Use separation of variables to solve the initial-value problem and compute the values A(1), A(2), A(3), A(4), and A(5)

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back