We start with 1000 liters of seawater in a tank. In seawater there are 35 g of salt per liter. Suppose we continually pour almost fresh water (2 g salt/liter) into the top of the tank at the rate of 4 liters/minute and at the bottom of the tank, we continually drain o ff 4 liters/minute. So the amount of water in the tank is always 1000 liters. Assume that the water in the tank is being stirred so that the saltwater and the freshwater mix immediately. How long until the concentration of salt in the tank is 4 g/liter?  Give your answer to the nearest hundredth of a minute

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve this differential equation problem. Provide step-by-step, well explained and readable. 

We start with 1000 liters of seawater in a tank. In seawater there are 35 g of salt per liter. Suppose we continually pour almost fresh water (2 g salt/liter) into the top of the tank at the rate of 4 liters/minute and at the bottom of the tank, we continually drain o ff 4 liters/minute. So the amount of water in the tank is always 1000 liters. Assume that the water in the tank is being stirred so that the saltwater and the freshwater mix immediately. How long until the concentration of salt in the tank is 4 g/liter?  Give your answer to the nearest hundredth of a minute 

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