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

Suppose that the initial area is 0.24 cm².

(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 actual values A(1), A(2), A(3), A(4), and A(5).

Transcribed Image Text:

dA A(2.128 – 0.0432A)." dt