5. 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 image. Use the information in the figure to construct a system of differential equations modelling the scenario. (Please do not solve the system). 2 Ib/gal 7 gal/min mixture 5 gal/min 100 gal 100 gal mixture mixture mixture 3 gal/min 1 gal/min 4 gal/min

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. 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 image. Use the information in the figure to
construct a system of differential equations modelling the scenario. (Please do not solve the
system).
mixture
2 lb/gal
7 gal/min
5 gal/min
A
B
100 gal
100 gal
mixture
mixture
mixture
3 gal/min
1 gal/min
4 gal/min
Transcribed Image Text:5. 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 image. Use the information in the figure to construct a system of differential equations modelling the scenario. (Please do not solve the system). mixture 2 lb/gal 7 gal/min 5 gal/min A B 100 gal 100 gal mixture mixture mixture 3 gal/min 1 gal/min 4 gal/min
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