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: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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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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CALCULUS 4E (LL) W/ ACHIEVE ACCESS

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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.