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)
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