Suppose that r = /(h) defines the shape of a water clock for which the time marks are
Chapter 2, Problem 36(choose chapter or problem)
Suppose that r = /(h) defines the shape of a water clock for which the time marks are equally spaced. Use the above differential equation to find/(h) and sketch a typical graph of has a function of r. Assume that the cross-sectional areaA11 of the hole is constant. [Hint: In this situation, dhldt = -a. where a > 0 is a constant.] ;n, animals is A model for the populations of two interacting species of dx dt = k1x(a - x) dy dt = k,J:y. Solve for x and y in terms oft.
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