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Let P(t)P ( t ) Be the Performance Level of Someone Learning a Skill as Someone

Question 120

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Let P(t)P ( t ) be the performance level of someone learning a skill as a function of the training time tt . The graph of PP is called a learning curve. We propose the differential equation
dPdt=r(DP(t))\frac { d P } { d t } = r ( D - P ( t ) )
as a reasonable model for learning, where rr is a positive constant. Solve it as a linear differential equation.

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