Question: Group D Additional Mathematical Models 2 5 . Learning Theory In the theory of learning, the rate at which a subject is memorized is assumed

Group D

Additional Mathematical Models

25 .

Learning Theory In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. Suppose

M

denotes the total amount of a subject to be memorized and

A (t)

is the amount memorized in times

t > 0 .

Determine a differential equation for the amount

A (t) .

26 .

Forgetfulness In Problem

25

assume that the rate at which material is forgotten is proportional to the amount memorized in time

t > 0 .

Determine a differential equation for the amount

A (t)

when forgetfulness is taken into account.

Group D Additional Mathematical Models 2 5 .

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