Solve the problem.
-dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and y = 10,000 when t = 0. Solve the differential equation of y
When f(t) = 20t.
A) y = 1000t + 50,000 + 60,000e-.02t
B) y = -1000t - 50,000 + 60,000e.02t
C) y = -1000t - 50,000 + 60,000e-.02t
D) y = 1000t - 50,000 + 60,000e-.02t
Correct Answer:
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