4. Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A 300 gal B 150 gal C 100 gal

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
Section11.5: Nonlinear Systems Of Differential Equations
Problem 1YT: YOUR TURN Consider the system of differential equations dx1dt=x1x23x1dx2dt=3x1x26x2 a. Find all...
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4. Three large tanks contain brine, as shown in the figure below.
pure water
4 gal/min
A
300 gal
X₁
B
150 gal
XZ
C
100 gal
x3
mixture
mixture
4 gal/min
4 gal/min
Use the information in the figure to determine a system of first-order differential equations that
describes the number of pounds of salt x, (), x₂ (1), and x, (1) at time in tanks A, B,
and C respectively. Not necessary to solve the system of differential equations.
mixture
4 gal/min
Transcribed Image Text:D 4. Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A 300 gal X₁ B 150 gal XZ C 100 gal x3 mixture mixture 4 gal/min 4 gal/min Use the information in the figure to determine a system of first-order differential equations that describes the number of pounds of salt x, (), x₂ (1), and x, (1) at time in tanks A, B, and C respectively. Not necessary to solve the system of differential equations. mixture 4 gal/min
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