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Population growth of any species is frequently modeled by an ODE of the form dN = aN - b dt N? 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 = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4. %3D %3D USE RUNGE - KUTTA METHOD

Population growth of any species is frequently modeled by an ODE of the form dN = aN - b dt N? 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 = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4. %3D %3D USE RUNGE - KUTTA METHOD

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...
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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 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 = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4. %3D USE RUNGE - KUTTA METHOD
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 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 = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4. %3D USE RUNGE - KUTTA METHOD
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