A tank in the form of a right-circular cylinder standing on end is leaking water through
Chapter 3, Problem 11(choose chapter or problem)
A tank in the form of a right-circular cylinder standing on end is leaking water through a circular hole in its bottom. As we saw in (10) of Section 1.3, when friction and contraction of water at the hole are ignored, the height h of water in the tank is described by , where Aw and Ah are the cross-sectional areas of the water and the hole, respectively. (a) Solve the DE if the initial height of the water is H. By hand, sketch the graph of h(t) and give its interval
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