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Population growth of any species is frequently modeled by an ODE of the form where N is the population, aN represents the birthrate, and bN2 represents the death rate due to all causes, such as disease, competition for food supplies, and so on. If N0 = 100,000, a = 0,1, and b = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4.   Rules: Use any for each of the problem in five decimal places.

Population growth of any species is frequently modeled by an ODE of the form where N is the population, aN represents the birthrate, and bN2 represents the death rate due to all causes, such as disease, competition for food supplies, and so on. If N0 = 100,000, a = 0,1, and b = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4.   Rules: Use any for each of the problem in five decimal places.

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

where N is the population, aN represents the birthrate, and bN2 represents the death rate due to all causes, such as disease, competition for food supplies, and so on. If N0 = 100,000, a = 0,1, and b = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4.

 

Rules: Use any for each of the problem in five decimal places.

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 No = 100,000, a = 0,1, and b = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4. Rules: Use any for each of the problem in five decimal places.
Transcribed Image Text: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 No = 100,000, a = 0,1, and b = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4. Rules: Use any for each of the problem in five decimal places.
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