Memorization When forgetfulness is taken into account, the
Chapter 3, Problem 3.1.44(choose chapter or problem)
Memorization When forgetfulness is taken into account, the rate of memorization of a subject is given by , where k1 0, k2 0, A(t) is the amount memorized in time t, M is the total amount to be memorized, and M A is the amount remaining to be memorized. (a) Since the DE is autonomous, use the phase portrait concept of Section 2.1 to find the limiting value of A(t) as t : . Interpret the result. (b) Solve the DE subject to A(0) 0. Sketch the graph of A(t) and verify your prediction in part (a).
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