If population is changed either by immigration or emigration, the exponential growth model discussed in Section 1 is modified to where y is the population at time t and f(t) is some (other) function of t that describes the net effect of the emigration/ immigration. Assume k = 0.02 and y(0) = 10,000. Solve this differential equation for y, given

Chapter 10, Section 10.2 #32

If population is changed either by immigration or emigration, the exponential growth model discussed in Section 1 is modified to

where y is the population at time t and f(t) is some (other) function of t that describes the net effect of the emigration/ immigration. Assume k = 0.02 and y(0) = 10,000. Solve this differential equation for y, given the following functions f(t).

ƒ(t) = e^-t

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Calculus With Applications

12th Edition

Authors: Margaret L. Lial

ISBN: 9780135871348

Extended Application:

EA-1

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dy dt = ky + f(t),

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Calculus With Applications

Answers for Questions in Chapter 10

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