Setting Up a Differential Equation

Calculus Level 2

Suppose a pipe containing water with \(0.2\text{ kg}\) of sugar per liter (l) runs into a tank filled with 400 l of water currently containing \(10\text{ kg}\) of sugar. Furthermore, the flow from the pipe enters the tank at 10 l/min while at the same time a pipe drains the tank at the same rate. Set up the differential equation that models the amount of sugar in the tank.