Explanation Given: The given statement is, “If P ( t ) = P 0 e 0.15 t gives the population in an environment at time t , then a differential equation satisfied by P ( t ) is _ _ _ _ _ _ _ _ _ ”. Calculation: The average yearly growth rate of world population is 1.8%. d P d t = 0.018 P Separate the variable of the above the equation. d P P = 0.018 d t Integrate the above equation. ∫ d P P = ∫ 0.018 d t ln P = 0.018 t P ( t ) = c e 0.018 t (1) Substitute 0 for t and 4 for P ( 0 ) in equation (1)

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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Chapter 2 Solutions