2. If one denotes the population of a planet by E(t) per year t, then the population growth rate dE/dt is characterized by dE dt kE, where k denotes the constant of proportionality. (a) Find an exact expression for k given that the population E of the planet doubles every 37 years. (b) The population of this city is initially 300, 000. How many years (T) would it take for the population to grow to 10, 000, 000? Give your answer to the nearest year.
2. If one denotes the population of a planet by E(t) per year t, then the population growth rate dE/dt is characterized by dE dt kE, where k denotes the constant of proportionality. (a) Find an exact expression for k given that the population E of the planet doubles every 37 years. (b) The population of this city is initially 300, 000. How many years (T) would it take for the population to grow to 10, 000, 000? Give your answer to the nearest year.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. If one denotes the population of a planet by E(t) per year t, then the population
growth rate dE/dt is characterized by
dE
dt
= kE,
wherek denotes the constant of proportionality.
(a) Find an exact expression for k given that the population E of the planet doubles
every 37 years.
(b) The population of this city is initially 300, 000. How many years (T) would it take
for the population to grow to 10, 000, 000? Give your answer to the nearest year.
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