Consider the following model for a population that is changing due to births, deaths, immigration, and emigration. Suppose the population at time t is y, k(t) = birth rate minus death rate (in daily births/deaths per thousand people), and m(t) = immigration rate minus emigration rate (in people per day). a) Write down the differential equation that describes the rate dy/dt of change of the population. Write the equation in the form dy/dt = Hint: You should have a linear ordinary differential equation of order one and degree one. %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Differential equations
Consider the following model for a population that is changing due to births,
deaths,
immigration, and emigration. Suppose the population at time t is y,
k(t) = birth rate minus death rate (in daily births/deaths per thousand people), and
m(t) = immigration rate minus emigration rate (in people per day).
a) Write down the differential equation that describes the rate dy/dt of change of
the population. Write the equation in the form dy/dt =
Hint: You should have a linear ordinary differential equation of order one and
degree one.
Transcribed Image Text:Consider the following model for a population that is changing due to births, deaths, immigration, and emigration. Suppose the population at time t is y, k(t) = birth rate minus death rate (in daily births/deaths per thousand people), and m(t) = immigration rate minus emigration rate (in people per day). a) Write down the differential equation that describes the rate dy/dt of change of the population. Write the equation in the form dy/dt = Hint: You should have a linear ordinary differential equation of order one and degree one.
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