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A tank contain 200 gallons of water. Five gallons of brine per minute flow into the...

A tank contain 200 gallons of water. Five gallons of brine per minute flow into the tank, each gallon of brine containing 1 pound of salt. Five gallons of water flow out of the tank per minute. Assume that the tank is kept well stirred. Find a differential equation for the number of pounds of salt in the tank (call it y) Assuming the tank intially contains no salt, solve this differential equation. At what time will there be 100 lbs of salt in the tank?

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