Growth and Decay

Growth and Decay - Exponential decay occurs when k < 0....

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Differential Equations: Growth and Decay Section 6.2
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Separation of Variables This strategy involves rewriting the eqn. so that each variable occurs on only one side of the eqn. Look at Ex. 1 pg. 358
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Thm. 5.16 Exponential Growth and Decay Model If y is a differentiable function of t such that y > 0 and y ‘ = ky, for some constant k , then y = Ce kt . C is the initial value of y. k is the proportionality constant.
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Exponenital growth occurs when k > 0.
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Unformatted text preview: Exponential decay occurs when k < 0. Newton’s Law of Cooling states that the rate of change in the temperature of an object is proportional to the difference between the object’s temperature and the temperature of the surrounding medium. Look at Ex. 6 pg. 362. Joke Time What is an insect that’s not feeling well? secant (sick ant) Who was a famous person that was not very healthy? “I sick” Newton...
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This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.

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Growth and Decay - Exponential decay occurs when k < 0....

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