Three large tanks contain brine, as shown in Figure 3.3.7. Use the information in the figure to construct a mathematical model for the number of pounds of salt x1(t), x2(t), and x3(t) at time t in tanks A, B, and C, respectively. Without solving the system, predict limiting values of x1(t), x2(t), and x3(t) as t–→ ∞. pure water 4 gal/min 国 B 200 gal 150 gal 100 gal mixture mixture mixture 4 gal/min 4 gal/min 4 gal/min FIGURE 3.3.7 Mixing tanks in Problem 8

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Three large tanks contain brine, as shown in Figure 3.3.7. Use the information in the figure to construct a mathematical
model for the number of pounds of salt x1(t), x2(t), and x3(t) at time t in tanks A, B, and C, respectively. Without solving the
system, predict limiting values of x1(t), x2(t), and x3(t) as t→∞
pure water
4 gal/min
A
В
C
200 gal
150 gal
100 gal
mixture
mixture
mixture
4 gal/min
4 gal/min
4 gal/min
FIGURE 3.3.7 Mixing tanks in Problem 8
Transcribed Image Text:Three large tanks contain brine, as shown in Figure 3.3.7. Use the information in the figure to construct a mathematical model for the number of pounds of salt x1(t), x2(t), and x3(t) at time t in tanks A, B, and C, respectively. Without solving the system, predict limiting values of x1(t), x2(t), and x3(t) as t→∞ pure water 4 gal/min A В C 200 gal 150 gal 100 gal mixture mixture mixture 4 gal/min 4 gal/min 4 gal/min FIGURE 3.3.7 Mixing tanks in Problem 8
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