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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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![MATH 1001(001-081)
Question #9
Please answer the following.
a) Populations of birds and insects are modeled by
the differential equations shown below. Which
of the variables, x or y, represents the birds and
which represents the insects?
dx
= 0.4x-0.002xy
dt
dy = -0.2y+0.000008xy
dt
b) Please verify that y=4x-12x² +3 is a solution
to the differential equation y"-2xy' +8y = 0.](https://content.bartleby.com/qna-images/question/46695490-535e-4e6d-be60-a5ac8c464218/3b0ab72d-23e5-451e-8167-04de7405b402/tnm4st_thumbnail.jpeg)
Transcribed Image Text:MATH 1001(001-081)
Question #9
Please answer the following.
a) Populations of birds and insects are modeled by
the differential equations shown below. Which
of the variables, x or y, represents the birds and
which represents the insects?
dx
= 0.4x-0.002xy
dt
dy = -0.2y+0.000008xy
dt
b) Please verify that y=4x-12x² +3 is a solution
to the differential equation y"-2xy' +8y = 0.
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