Chapter 10 - Introduction to Differential Equations - 10.3 The Logistic Equation - Exercises - Page 518: 4

a) 0 < y(0)/ < A, so y(t) is increasing and approaches A asymptotically. b) y(0) = A; this represents a stable equilibrium and y(t) is constant. c) y(0) > A, so y(t) is decreasing and approaches A asymptotically.

a) 0 < y(0)/ < A, so y(t) is increasing and approaches A asymptotically. b) y(0) = A; this represents a stable equilibrium and y(t) is constant. c) y(0) > A, so y(t) is decreasing and approaches A asymptotically.