www 0 a solution with a salt A very large tank initially contains 100L of pure water. Starting at time t concentration of

Question

www
0 a solution with a salt
A very large tank initially contains 100L of pure water. Starting at time t
concentration of 0.8kg/L is added at a rate of 5L/min. The solution is kept thoroughly mixed and is
drained from the tank at a rate of 3L/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
m
3y
100 + 2t
2. How much salt is in the tank after 40 minutes?
Answer (in kilograms):

Kunduz · Accepted Answer

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