Consider the two tanks shown in the figure below. Assume that tank A contains 100 gallons of water in which 25 pounds of salt is dissolved. Suppose tank B contains 100 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; Let X₁ and X₂ be the amount of salt as functions of time t in tanks A and B respectively. Find a system of first order equation for the amounts of salts X₁ and X₂, including the initial conditions for the system. Do not Solve the system. A 100 gal mixture 3 gal/min mixture 2 gal/min B 100 gal
Consider the two tanks shown in the figure below. Assume that tank A contains 100 gallons of water in which 25 pounds of salt is dissolved. Suppose tank B contains 100 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; Let X₁ and X₂ be the amount of salt as functions of time t in tanks A and B respectively. Find a system of first order equation for the amounts of salts X₁ and X₂, including the initial conditions for the system. Do not Solve the system. A 100 gal mixture 3 gal/min mixture 2 gal/min B 100 gal
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the two tanks shown in the figure below. Assume that tank A contains 100 gallons of water
in which 25 pounds of salt is dissolved. Suppose tank B contains 100 gallons of pure water. Liquid is
pumped into and out of the tanks as indicated in the figure;
Let X₁ and X2 be the amount of salt as functions of time t in tanks A and B respectively.
Find a system of first order equation for the amounts of salts X₁ and X₂, including the initial
conditions for the system. Do not solve the system.
A
100 gal
mixture
3 gal/min
mixture
2 gal/min
B
100 gal
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