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Consider the two tanks below.

Consider the two tanks below.

Advanced Engineering Mathematics
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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Consider the two tanks below. Suppose tank A contains 200 liters of water in which 10 kilograms of salt is dissolved. Suppose Tank B contains 200 liters of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchange between the two tanks and the liquid pumped out of the tank are assume to be well stirred. a) Construct a mathematical model that describes the number of kilograms x, (t) and x,(1) of salt in Tanks A and B, respectively at time t. b) Use Laplace transform to find x, (t) and x,(t). pure water mixture 3 Lmin I Lmin mixture miare 3Lmin 4 Limin Figure 2
Transcribed Image Text:Consider the two tanks below. Suppose tank A contains 200 liters of water in which 10 kilograms of salt is dissolved. Suppose Tank B contains 200 liters of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchange between the two tanks and the liquid pumped out of the tank are assume to be well stirred. a) Construct a mathematical model that describes the number of kilograms x, (t) and x,(1) of salt in Tanks A and B, respectively at time t. b) Use Laplace transform to find x, (t) and x,(t). pure water mixture 3 Lmin I Lmin mixture miare 3Lmin 4 Limin Figure 2
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