Explanation Find the general solution of each of the given equations and obtain the value when the limit lim t → ∞ y ( t ) is applied. Given: (a) d y d t = − 4 ( y − 12 ) (b) d y d t = 4 ( y − 12 ) (c) d y d t = − 4 y − 12 Calculation: (a) d y d t = − 4 ( y − 12 ) - the general solution is y ( t ) = 12 + C e − 4 t where C is a constant. Regardless of the value of the constant, lim t → ∞ y ( t ) = lim t → ∞ ( 12 + C e − 4 t ) = 12 (b) d y d t = 4 ( y − 12 ) - the general solution is y ( t ) = 12 + C e 4 t where C is a constant...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Chapter 10, Problem 33CRE

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The limit $\lim_{t \to \infty} y (t)$ if $y (t)$ is a solution of each of the given equations.

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Chapter 10, Problem 32CRE

Chapter 10, Problem 34CRE

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Chapter 10 Solutions

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Ch. 10.1 - Prob. 1PQ Ch. 10.1 - Prob. 2PQ Ch. 10.1 - Prob. 3PQ Ch. 10.1 - Prob. 4PQ Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E

Ch. 10.1 - Prob. 7E Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.1 - Prob. 45E Ch. 10.1 - Prob. 46E Ch. 10.1 - Prob. 47E Ch. 10.1 - Prob. 48E Ch. 10.1 - Prob. 49E Ch. 10.1 - Prob. 50E Ch. 10.1 - Prob. 51E Ch. 10.1 - Prob. 52E Ch. 10.1 - Prob. 53E Ch. 10.1 - Prob. 54E Ch. 10.1 - 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The limit lim t → ∞ y ( t ) if y ( t ) is a solution of each of the given equations.

Solution Summary: The author explains how to determine the limit lim t, if y is a solution of each of the given equations.

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The limit $\lim_{t \to \infty} y (t)$ if $y (t)$ is a solution of each of the given equations.

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Chapter 10 Solutions

The limit lim t → ∞ y ( t ) if y ( t ) is a solution of each of the given equations.

Solution Summary: The author explains how to determine the limit lim t, if y is a solution of each of the given equations.

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The limit limt→∞y(t) if y(t) is a solution of each of the given equations.

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Chapter 10 Solutions

The limit $\lim_{t \to \infty} y (t)$ if $y (t)$ is a solution of each of the given equations.