Exercise 105

A cylindrical water tank has water flowing in at $I$ cubic meters per second. Let $A$ be the area of the cross section of the tank in square meters. Suppose water is flowing out from the bottom of the tank at a rate proportional to the height of the water level. Set up the differential equation for $h$, the height of the water, introducing and naming constants that you need. You should also give the units for your constants.