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

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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 = t_b, 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

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 22, 2023 03:02 AM

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

Question:

dt = ky(1 A

Step by Step Answer:

a Let y0 yo From the general solution we find 1 B Yo A 11B so th 0 ...View the full answer

Calculus

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