Problem 3. A very large tank initially contains 100L of pure water. Starting at time t = 0 a solution with a salt concentration of 0.7kg/L is added at a rate of 7L/min. The solution is kept thoroughly mixed and is drained from the tank at a rate of 5L/min. Answer the following questions. 1. Let y(t) be the amount of salt (in kilograms) in the tank after t minutes. What differential equation does y satisfy? Use the variable y for y(t). Answer (in kilograms per minute): dy dt

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.
 
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Problem 3.
A very large tank initially contains 100L of
pure water. Starting at time t = 0 a solution with a
salt concentration of 0.7kg/L is added at a rate of
7L/min. The solution is kept thoroughly mixed
and is drained from the tank at a rate of 5L/min.
Answer the following questions.
1. Let y(t) be the amount of salt (in kilograms) in
the tank after t minutes. What differential equation
does y satisfy? Use the variable y for y(t).
Answer (in kilograms per minute):
dy
dt
Transcribed Image Text:Problem 3. A very large tank initially contains 100L of pure water. Starting at time t = 0 a solution with a salt concentration of 0.7kg/L is added at a rate of 7L/min. The solution is kept thoroughly mixed and is drained from the tank at a rate of 5L/min. Answer the following questions. 1. Let y(t) be the amount of salt (in kilograms) in the tank after t minutes. What differential equation does y satisfy? Use the variable y for y(t). Answer (in kilograms per minute): dy dt
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