(a) Suppose a b 1 in the Gompertz differential equation

Chapter 3, Problem 3.1.56

(choose chapter or problem)

(a) Suppose a b 1 in the Gompertz differential equation (7). Since the DE is autonomous, use the phase portrait concept of Section 2.1 to sketch representative solution curves corresponding to the cases P0 e and 0 P0 e. (b) Suppose a 1, b 1 in (7). Use a new phase portrait to sketch representative solution curves corresponding to the cases P0 e1 and 0 P0 e1 . (c) Find an explicit solution of (7) subject to P(0) P0. Chem

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