Question: In Exercises 17 and 18, let y(t) be a solution of the logistic equation where A > 0 and k > 0. Let y =

In Exercises 17 and 18, let y(t) be a solution of the logistic equation

dt = ky(1 A

where A > 0 and k > 0.

Let y = A/1 − e−kt/B be the general nonequilibrium solution to Eq. (9). If y(t) has a vertical asymptote at t = tb, that is, if

dy - ky (1-2) = dt A

lim y(t) = too, we say that the solution "blows up" at t = tb. 1lb- (a) Show that if 0 A, then y blows up at

dt = ky(1 A

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