Use the information given in the figure below to construct a mathematical model for the number of pounds of salt x, (t), x,(t), and x,(t) at time t in tanks A, B, and C, respectively. pure water mixture mixture 6 gal/min 3 gal/min 1 gal/min 100 gal 100 gal 100 gal mixture mixture mixture 9 gal/min 7 gal/min 6 gal/min dt !! dt dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the information given in the figure below to construct a mathematical model for the number of pounds of salt x, (t), x,(t), and x,(t) at time t in tanks A, B, and C, respectively.
pure water
6 gal/min
mixture
mixture
3 gal/min
1 gal/min
A
B
100 gal
100 gal
100 gal
mixture
mixture
mixture
9 gal/min
7 gal/min
6 gal/min
dx,
dt
dx.
dt
dx3
dt
Transcribed Image Text:Use the information given in the figure below to construct a mathematical model for the number of pounds of salt x, (t), x,(t), and x,(t) at time t in tanks A, B, and C, respectively. pure water 6 gal/min mixture mixture 3 gal/min 1 gal/min A B 100 gal 100 gal 100 gal mixture mixture mixture 9 gal/min 7 gal/min 6 gal/min dx, dt dx. dt dx3 dt
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