(2) Consider a mathematical modeling of learning and forgetting. (2-1) Assume that the time rate of change in memory is negatively correlated with the amount of present memory. Please write down the mathematical expression of the time rate of change in memory R(t) in a differential equation. Please add the explanations of variables that you defined in the mathematical expression. (2-2) One can recover the memory by reviewing the content. Assume that the time rate of change in recovering memory is proportional to the amount of memory that one has forgotten from the beginning. Please write down the mathematical expression of the time rate of change in memory R(t) with considering both forgetting and recovering memories, in a differential equation.
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