subject
Mathematics, 06.03.2020 23:26 ununoctrium5401

Consider a population P = P(t) with constant relative birth and death rates α and β, respectively, and a constant emigration rate m, where α, β, and m are positive constants. Assume that α > β. Then the rate of change of the population at time t is modeled by the differential equation: dP/dt = kP - m where k = α - β(a) Find the solution of this equation that satisfies the initial condition P(0) = P0. (Write an equation involving P, P0, k, m, and t.).

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 18:30
Write an algebraic expression to match each statement a. four less than 8 times a number b. twice the difference of a number and six c. nine from a number squared
Answers: 1
question
Mathematics, 21.06.2019 19:30
Which of the points a(6, 2), b(0, 0), c(3, 2), d(−12, 8), e(−12, −8) belong to the graph of direct variation y= 2/3 x?
Answers: 2
question
Mathematics, 21.06.2019 20:30
How do you determine if an ordered pair is a solution to a given equation?
Answers: 1
question
Mathematics, 21.06.2019 22:30
Which statements about the system are true? check all that apply. y =1/3 x – 4 3y – x = –7 the system has one solution. the system consists of parallel lines. both lines have the same slope. both lines have the same y–intercept. the equations represent the same line. the lines intersect.
Answers: 2
You know the right answer?
Consider a population P = P(t) with constant relative birth and death rates α and β, respectively, a...
Questions
question
Chemistry, 02.01.2022 14:00
question
Mathematics, 02.01.2022 14:00
question
Mathematics, 02.01.2022 14:00
question
Mathematics, 02.01.2022 14:00
question
French, 02.01.2022 14:00
question
English, 02.01.2022 14:00
question
Mathematics, 02.01.2022 14:00
Questions on the website: 13722363