The number of foxes , in thousands, living within an urban area t years after a given instant, can be modelled by the DE dN/dt = 2N-N^2 , t> or = 0 Initially it is thought that 1000 foxes lived in this urban area, i.e., . N(0)= 1. Applying two iterations of the 4th Order Runge-Kutta Method, with a step size h=1 , to the above problem yields the following results: Iteration 1: K01 = K02= K03 = K04 = N(1) approximately N1 = Iteration 2: K11=. K12=. K13= K14=. N(2) approximately N2 =

The number of foxes , in thousands, living within an urban area t years after a given instant, can be modelled by the DE dN/dt = 2N-N^2 , t> or = 0 Initially it is thought that 1000 foxes lived in this urban area, i.e., . N(0)= 1. Applying two iterations of the 4th Order Runge-Kutta Method, with a step size h=1 , to the above problem yields the following results: Iteration 1: K01 = K02= K03 = K04 = N(1) approximately N1 = Iteration 2: K11=. K12=. K13= K14=. N(2) approximately N2 =

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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Question

The number of foxes , in thousands, living within an urban area t years after a given instant, can be modelled by the DE

dN/dt = 2N-N^2 , t> or = 0

Initially it is thought that 1000 foxes lived in this urban area, i.e., . N(0)= 1.

Applying two iterations of the 4th Order Runge-Kutta Method, with a step size h=1 , to the above problem yields the following results:
Iteration 1:

K01 =

K02=

K03 =
K04 =

N(1) approximately N1 =

Iteration 2:

K11=.

K12=.

K13=
K14=.

N(2) approximately N2 =

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