The human population of a small island satisfies the logistic law with k = 0.04, λ = 2(10)^-7, and time t measured in years. The population at the start of 1980 is 50,000. A) Find a formula for the population in future years. B) What will be the population in 2000? C) Assuming the differential equation you created applies for all t > 1980, how large will the population ultimately be?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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The human population of a small island satisfies the logistic law with k = 0.04, λ = 2(10)^-7, and time t measured in years. The population at the start of 1980 is 50,000. A) Find a formula for the population in future years. B) What will be the population in 2000? C) Assuming the differential equation you created applies for all t > 1980, how large will the population ultimately be?
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