Solve this differential equation to find an expression forP(t).

(UsePforP(t). Assume thatP(0) = 0.)

In a previous exercise we formulated a model for learning in the form of the differential equation dP_ _ 74m P) where P(t) measures the performance of someone learning a skill after a training time t, M is the maximum level of performance, and k is a positive constant. Solve this differential equation to nd an expression for Pat). (Use P for PU). Assume that P(0) = 0.) P(t) =m(e_kt+ 1) x What is the limit of this expression? lim P(t) = [aw