Assume that a population P of wolves in a region changes inversely to the area A of the region. Does it make sense to use differential equations to model the population size? If so, write the differential equation. If not, explain why. O No, P = O No, P = KA is a simple relationship and there is no rate of change so no need to use differential equations. dP dt O Yes, O Yes, is a simple relationship and there is no rate of change so no need to use differential equations. A dP dt = is a differential equation with a rate of change. A = kA is a differential equation with a rate of change.
Assume that a population P of wolves in a region changes inversely to the area A of the region. Does it make sense to use differential equations to model the population size? If so, write the differential equation. If not, explain why. O No, P = O No, P = KA is a simple relationship and there is no rate of change so no need to use differential equations. dP dt O Yes, O Yes, is a simple relationship and there is no rate of change so no need to use differential equations. A dP dt = is a differential equation with a rate of change. A = kA is a differential equation with a rate of change.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Assume that a population P of wolves in a region changes inversely to the area A of the region.
Does it make sense to use differential equations to model the population size?
If so, write the differential equation. If not, explain why.
k
A
O No, P = KA is a simple relationship and there is no rate of change so no need to use differential equations.
dP
k
= is a differential equation with a rate of change.
dt
O
No,
P = is a simple relationship and there is no rate of change so no need to use differential equations.
Yes,
Yes,
dP
= KA is a differential equation with a rate of change.
dt
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