A national park is known to be capable of supporting 100 grizzly bears, but no more. Ten bears are in the park at present. We model the population with a logistic differential equa- tion with r = 0.001 (although the model may not give reliable results for lation levels). very small popu-

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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A national park is known to be capable of supporting 100 grizzly bears, but no more. Ten
bears are in the park at present. We model the population with a logistic differential equa-
tion with r = 0.001 (although the model may not give reliable results for
very small
popu-
lation levels).
Transcribed Image Text:A national park is known to be capable of supporting 100 grizzly bears, but no more. Ten bears are in the park at present. We model the population with a logistic differential equa- tion with r = 0.001 (although the model may not give reliable results for very small popu- lation levels).
(a) Draw and describe a slope field for the differential equation.
(b) Use Euler's method with step size dt = 1 to estimate the population size in 20 year
Transcribed Image Text:(a) Draw and describe a slope field for the differential equation. (b) Use Euler's method with step size dt = 1 to estimate the population size in 20 year
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ISBN:
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