Please solve the following problem:

4. Consider a IL tank of salty water. It has a pipe owing in and a pipe owing out: and is well mixed so all places in the tank have the same salt concentration. Initially the tank contains 2kg of salt diluted in the IlIlIL. The pipe owing into the tank contains H.3kgf L of salt and is owing at a rate of lLfrnin. The pipe owing out of the tank is also owing at a rate of IIILfniin, and has the concentration of whatever the concentration of the tank is. [a] Let AH} denote the amount of salt in the tank at time it. Write out an initial value problem [ODE and Initial Ililondition] that models the amount of salt in the tank at any time t. {h} Solve the Initial 1t-Talue Problem from part {a}. {c} Evaluate litn AH}. Finally, write one sentence explaining whether or not this result tros matches our physical expectation