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time and that this population satisfies the differential equation Y (0.3+ sin t) dy dt NOTE: Round your answers to two decimal places. = 3 a) If y(0) = 1, find (or estimate) the time – at which the population has doubled. Choose other initial conditions and determine whether the doubling time 7 depends on the initial population. The doubling time is 7 = The doubling time Choose one ▼ depend on the initial population. b) Suppose that the growth rate is replaced by its average value 10 Determine the doubling time in this case. In this case, t =

time and that this population satisfies the differential equation Y (0.3+ sin t) dy dt NOTE: Round your answers to two decimal places. = 3 a) If y(0) = 1, find (or estimate) the time – at which the population has doubled. Choose other initial conditions and determine whether the doubling time 7 depends on the initial population. The doubling time is 7 = The doubling time Choose one ▼ depend on the initial population. b) Suppose that the growth rate is replaced by its average value 10 Determine the doubling time in this case. In this case, t =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.3: Euler's Method
Problem 22E
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c) Suppose that the term sint in the differential equation is replaced by sin(2πt); that is, the variation in the growth rate has a substantially higher frequency. What effect does this have on the doubling time 7 ? In this case, T =
Transcribed Image Text:c) Suppose that the term sint in the differential equation is replaced by sin(2πt); that is, the variation in the growth rate has a substantially higher frequency. What effect does this have on the doubling time 7 ? In this case, T =
time and that this population satisfies the differential equation Y (0.3+ sin t) dy dt NOTE: Round your answers to two decimal places. = 3 a) If y(0) = 1, find (or estimate) the time – at which the population has doubled. Choose other initial conditions and determine whether the doubling time 7 depends on the initial population. The doubling time is 7 = The doubling time Choose one ▼ depend on the initial population. b) Suppose that the growth rate is replaced by its average value 10 Determine the doubling time in this case. In this case, t =
Transcribed Image Text:time and that this population satisfies the differential equation Y (0.3+ sin t) dy dt NOTE: Round your answers to two decimal places. = 3 a) If y(0) = 1, find (or estimate) the time – at which the population has doubled. Choose other initial conditions and determine whether the doubling time 7 depends on the initial population. The doubling time is 7 = The doubling time Choose one ▼ depend on the initial population. b) Suppose that the growth rate is replaced by its average value 10 Determine the doubling time in this case. In this case, t =
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