Differential Equations A tank with a 200 gallon capacity con

Differential Equations:

A tank with a 200 gallon capacity contains a 20 gallon mixture that includes 40 ounces of dye. Pure water flows into the tank at a rate of , and the mixture in the tank flows out at .

A) Find the amount of dye in the tank at any time before the tank overflows.

B) How much dye is in the tank the moment it overflows?

*The rate in of pure water in is 10 gal/min, the rate of flow out is 4 gal/min

Solution