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. dx₁ dt dx2 dt = 3 lb/gal 9 gal/min A 100 gal mixture 2 gal/min mixture 9 gal/min mixture 2 gal/min B 100 gal mixture 7 gal/min

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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JJ. 167.

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.
dx1 =
dt
dx₂
dt
3 lb/gal
9 gal/min
A
100 gal
mixture
2 gal/min
mixture
9 gal/min
mixture
2 gal/min
B
100 gal
mixture
7 gal/min
Transcribed Image Text: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. dx1 = dt dx₂ dt 3 lb/gal 9 gal/min A 100 gal mixture 2 gal/min mixture 9 gal/min mixture 2 gal/min B 100 gal mixture 7 gal/min
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