In one theory of learning, the rate at which a course is memorized is assumed to be proportional to the product of the a

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In One Theory Of Learning The Rate At Which A Course Is Memorized Is Assumed To Be Proportional To The Product Of The A 1 (59.68 KiB) Viewed 14 times

In one theory of learning, the rate at which a course is memorized is assumed to be proportional to the product of the amount already memorized and the amount that is still left to be memorized. Assume that Q denotes the total amount of content that has to be memorized, and I(t) the amount that has been memorized after t hours. (5.1) Write down a differential equation for I, using k for the constant of proportionality. Also, write down the initial value Io. (5.2) Draw the phase line of the model. (5.3) Use the phase line to sketch solution curves when the initial values are I = Q, Io = 2, and Io = 0.