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Mathematics, 25.10.2019 20:43 jimmy8816

Atank contains 225 l of water. a solution with a salt concentration of 0.4 kg/l is added at a rate of 5 l/min. the solution is kept mixed and is drained from the tank at a rate of 3 l/min. if
y(t)
is the amount of salt (in kilograms) after t minutes, show that y satisfies the differential equation
dy/dt = 2 - 3y/(225+2t)
solve this equation and find the concentration after 20 minutes.

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