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.
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.
Calculus: Early Transcendentals
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Chapter1: Functions And Models
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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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