(c) The population of a town in the south of Bangladesh has been growing a rate...
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(c) The population of a town in the south of Bangladesh has been growing a rate that is propor- tional to the population with a constant of proportionality 0.03. However, flooding has alarmed residents and people are leaving the town at a rate of 20 thousand people per year. Today, there are 100 thousand people in the town. Let P(t) be the number of people in the town in thousands t years after today. Write a differential equation that reflects the situation. Include the initial condition. (c) The population of a town in the south of Bangladesh has been growing a rate that is propor- tional to the population with a constant of proportionality 0.03. However, flooding has alarmed residents and people are leaving the town at a rate of 20 thousand people per year. Today, there are 100 thousand people in the town. Let P(t) be the number of people in the town in thousands t years after today. Write a differential equation that reflects the situation. Include the initial condition.
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