(Solved): A tank is filled with brine containing 80 kilograms of salt dissolved in 2000 liters of water. A s ...

A tank is filled with brine containing 80 kilograms of salt dissolved in 2000 liters of water. A solution of a concentration of \( 0.02 \mathrm{~kg} / \mathrm{L} \) enters the tank at the rate of \( 8 \mathrm{~L} / \mathrm{min} \). A well-stirred mixture drains from the tank at the same rate. Let \( y(t) \) be the amount of salt (in kilograms) in the tank after \( t \) minutes. Write the differential equation and the initial condition describing this situation. \[ \begin{array}{c} \frac{d y}{d t}=1 \\ y(0)=1 \end{array} \] Question Help: \( \square \) Message instructor