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 = 0.02 and  when t = 0. Solve the differential equation of y when f(t) = 2t.

A. y = -100t - 5000 + 15,000e-0.02t
B. y = -100t - 5000 + 15,000e0.02t
C. y = 100t - 5000 + 15,000e-0.02t
D. y = 100t + 5000 + 15,000e-0.02t


Answer: B

Mathematics

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