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Unformatted text preview: Math 252 Fall 2002 Answers to Modeling Exercises Descriptions 1. The rate of change of the population of a certain country, which depends on the birth and death rates as well as on the number of immigrants, who arrive at a constant rate into the country. y = ky + c 2. The rate of change of the population of a certain country, which depends on the birth and death rates, but there is a net emigration from the country (at a constant rate). y = ky- c 3. Fish in a certain area, which reproduce in proportion to the population, subject to limits imposed by the carrying capacity of the environment, and the population of which is also reduced by fishing which proceeds at a constant rate. y = ky ( K- y )- c 4. The temperature of a building, when the outside temperature varies periodically (it goes down during the night, up during the day) and there is no heating or air-conditioning. y = - k ( y- sin t ) 5. The temperature of a building, when the outside temperature varies periodically (it goes down during5....
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This note was uploaded on 08/10/2008 for the course MATH 252 taught by Professor Sc during the Spring '08 term at Rutgers.
- Spring '08
- Rate Of Change