A pond drains through a pipe as shown in Fig. P22.21. Under a number of simplifying assumptions, the following differential equation describes how depth changes with time: dh dt = d2 4A(h) 2g(h + e) where h = depth (m), t = time (s), d = pipe diameter (m), A(h) = pond surface area as a function of depth (m2 ), g = gravitational constant (= 9.81 m/s2 ), and e = depth of pipe outlet below the pond bottom (m). Based on the following area-depth table, solve this differential equation to determine how long it takes for the pond to empty, given that h(0) = 6 m, d = 0.25 m, e = 1 m.

Notes SES100 Phillip Christensen 10/14/2016 A. Matrices a. Computers work with arrays, or matrices of numbers i. Row Matrix ii. Ex. - (1,2,3,4 etc) iii. Ex. - iv. Matrix - 5 Rows & 4 Columns v. To refer to an element in matrix...