A tank initially contains 200 L of pure water. Salt enters into the solution constantly 5 kilograms for every minute, then will be mixed well into the contents of the tank. If the well-mixed solution exits from the tank at the rate 10 L per minute, show how the differential equation below describes the salt concentration S in the solution at any time t. ds S = 5 t - 20 dt

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A tank initially contains 200L of pure water. Salt enters into the solution
constantly 5 kilograms for every minute, then will be mixed well into the contents
of the tank. If the well-mixed solution exits from the tank at the rate 10 L per
minute, show how the differential equation below describes the salt
concentration S in the solution at any time t.
ds
:5
t - 20
%3!
dt
Transcribed Image Text:A tank initially contains 200L of pure water. Salt enters into the solution constantly 5 kilograms for every minute, then will be mixed well into the contents of the tank. If the well-mixed solution exits from the tank at the rate 10 L per minute, show how the differential equation below describes the salt concentration S in the solution at any time t. ds :5 t - 20 %3! dt
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