The population of a given city is governed by the law, dx/dt +5 = (0.02) x - (0.0001) x² where time (t) and city population (x) are measured in years and thousands, respectively. Estimate the population of the city in year 2022, while it was given that population of the city in the year 2021 is 28,750. Apply Euler formula with step size h = 3 months. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The population of a given city is governed by the law,
dx/dt +5 = (0.02) x - (0.0001) x²
where time (t) and city population (x) are measured in years and thousands, respectively.
Estimate the population of the city in year 2022, while it was given that population of the
city in the year 2021 is 28,750. Apply Euler formula with step size h = 3 months.
Transcribed Image Text:The population of a given city is governed by the law, dx/dt +5 = (0.02) x - (0.0001) x² where time (t) and city population (x) are measured in years and thousands, respectively. Estimate the population of the city in year 2022, while it was given that population of the city in the year 2021 is 28,750. Apply Euler formula with step size h = 3 months.
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