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A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5L/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min. How much salt is in the tank (a) after $ t $ minutes and (b) after one hour?

a) $y=\frac{130}{3}\left(1-e^{-3 t / 200}\right)$

b) 25.72 $\mathrm{kg}$

Differential Equations

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Missouri State University

Campbell University

Harvey Mudd College

Idaho State University

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