One theory on the speed an employee learns a new task claims that the more the employee
Chapter 9, Problem 14(choose chapter or problem)
One theory on the speed an employee learns a new task claims that the more the employee already knows, the more slowly he or she learns. Suppose that the rate at which a person learns is equal to the percentage of the task not yet learned. If y is the percentage learned by time t, the percentage not yet learned by that time is 100 y, so we can model this situation with the differential equa tion dy dt = 100 y. (a) Find the general solution to this differential equation. (b) Sketch several solutions. (c) Find the particular solution if the employee starts learning at time t = 0 (so y = 0 when t = 0).
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