Explanation Obtain the equilibrium solution as follows. Substitute y ′ ( t ) = 0 in the differential equation. 2 y − 4 = 0 2 y = 4 y = 4 2 = 2 Therefore, the required equilibrium solution of the given equation is y ( t ) = 2

Calculus: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134763644

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Chapter 9.4, Problem 3QC

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To find: The equilibrium solution of the differential equation y′(t)=2y−4 and determine whether it is stable or not.

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Chapter 9.4, Problem 2QC

Chapter 9.4, Problem 4QC

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Chapter 9 Solutions

Calculus: Early Transcendentals (3rd Edition)

Ch. 9.1 - What are the orders of the equations in Example 2?...Ch. 9.1 - What is the solution of the initial value problem...Ch. 9.1 - Solve the initial value problem in Example 4a with...Ch. 9.1 - Suppose the initial conditions in Example 5a are...Ch. 9.1 - In Example 7, if the height function were given by...Ch. 9.1 - Consider the differential equation y(t) + 9y(t) =...Ch. 9.1 - If the general solution of a differential equation...Ch. 9.1 - Does the function y(t) = 2t satisfy the...Ch. 9.1 - Does the function y(t) = 6e3t satisfy the initial...Ch. 9.1 - The solution to the initial value problem y(t) = 2...

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The equilibrium solution of the differential equation y ′ ( t ) = 2 y − 4 and determine whether it is stable or not.

Solution Summary: The author explains the equilibrium solution of the differential equation yprime (t)=2y-4 and determines whether it is stable or not.