A tank contains L of pure water. A solution that contains kg of sugar per liter enters the tank at the rate L/min. The solution is mixed and drains from the tank at the same rate.

(a) How much sugar is in the tank at the beginning?
(include units)

(b) With representing the amount of sugar (in kg) at time t (in minutes) write a differential equation which models this situation.
Note: Make sure you use a capital S, (and don't use S(t), it confuses the computer). Don't enter units for this function.

(c) Find the amount of sugar (in kg) after t minutes.
(function of t)

(d) Find the amount of the sugar after 30 minutes.
(include )