Calculus Early Transcendentals 3rd.edition I.r.c.

3rd Edition

ISBN: 9780134766843

Author: Briggs

Publisher: PEARSON

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Differential Equations

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Chapter 9.1, Problem 16E

Verifying general solutions Verify that the given function is a solution of the differential equation that follows it.

49. z ( t ) = C 1 e − t + C 2 e 2 t + C 3 e − 3 t − e t ; z ‴ ( t ) + 2 z ″ ( t ) − 5 z ′ ( t ) − 6 z ( t ) = 8 e t

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Chapter 9.1, Problem 15E

Chapter 9.1, Problem 17E

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Chapter 9 Solutions

Calculus Early Transcendentals 3rd.edition I.r.c.

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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Verifying general solutions Verify that the given function is a solution of the differential equation that follows it. 49. z ( t ) = C 1 e − t + C 2 e 2 t + C 3 e − 3 t − e t ; z ‴ ( t ) + 2 z ″ ( t ) − 5 z ′ ( t ) − 6 z ( t ) = 8 e t

Solution Summary: The author explains that the first derivative of z(t)=C_1e-t+

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