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Population growth of any species is frequently modeled by an ODE of the form dN = aN – bN? dt N(0) = No where N is the population, aN represents the birthrate, and bN represents the death rate due to all causes, such as disease, competition for food supplies, and so on. If N, = 100,000, a = 0,1, and b 0. = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4.

Population growth of any species is frequently modeled by an ODE of the form dN = aN – bN? dt N(0) = No where N is the population, aN represents the birthrate, and bN represents the death rate due to all causes, such as disease, competition for food supplies, and so on. If N, = 100,000, a = 0,1, and b 0. = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Population growth of any species is frequently modeled by an ODE of the form dN = aN – bN² dt N(0) = No where N is the population, aN represents the birthrate, and 2 bN represents the death rate due to all causes, such as disease, competition for food supplies, and so on. If N, = 100,000, a = 0,1, and b 0. = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4.
Transcribed Image Text:Population growth of any species is frequently modeled by an ODE of the form dN = aN – bN² dt N(0) = No where N is the population, aN represents the birthrate, and 2 bN represents the death rate due to all causes, such as disease, competition for food supplies, and so on. If N, = 100,000, a = 0,1, and b 0. = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4.
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