Initially, two large tanks A and B each hold 100 gallons of brine. The well-stirred liquid is pumped between the tanks as shown in the figure below. Use the information given in the figure to construct a mathematical model for the number of pounds of salt x1(t) and x2(t) at time t, measured in minutes, in tanks A and B, respectively.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Initially, two large tanks A and B each hold 100 gallons of brine. The well-stirred liquid is pumped between the tanks as shown in the figure below. Use the information given in the figure to construct a mathematical model for the number of pounds of salt x1(t) and x2(t) at time t, measured in minutes, in tanks A and B, respectively.

2 lb/gal
6 gal/min
A
100 gal
mixture
2 gal/min
mixture
6 gal/min
mixture
2 gal/min
B
100 gal
mixture
4 gal/min
Transcribed Image Text:2 lb/gal 6 gal/min A 100 gal mixture 2 gal/min mixture 6 gal/min mixture 2 gal/min B 100 gal mixture 4 gal/min
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