Suppose that the population of Velddrif, a small coastal town on the West Coast of South Africa, was 1000 at the end of the year 2000. Suppose further that the population increase. (continuously or steadily) by approximately 5% per year. Then the population can be described by the DE dP dt = 0.05P. Applying five iterations of the Improved Euler formula with P(0) = 1000, where t = 0 corresponds to the end of the year 2000, and a step size of h = 1 to this problem, yields (a) P(1) ≈ for the population size at the end of the year 2001.

Suppose that the population of Velddrif, a small coastal town on the West Coast of South Africa, was 1000 at the end of the year 2000. Suppose further that the population increase. (continuously or steadily) by approximately 5% per year. Then the population can be described by the DE dP dt = 0.05P. Applying five iterations of the Improved Euler formula with P(0) = 1000, where t = 0 corresponds to the end of the year 2000, and a step size of h = 1 to this problem, yields (a) P(1) ≈ for the population size at the end of the year 2001.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 14EQ

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