Derive the differential equation(s) describing the given physical situation. Suppose a...

Derive the differential equation(s) describing the given physical situation.

Suppose a tank is discharging water through a circular orifice of cross-sectional area A_o at its bottom. It has been shown experimentally that when friction at the orifice is taken into consideration, the volume of water leaving the tank per second is approximately . Find the differential equation for the height h of water at time t for the cubical tank in Figure 1.19. The radius of the orifice is 2 in. and