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

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Chapter2: Second-order Linear Odes
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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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