Fundamentals of Differential Equations and Boundary Value Problems

7th Edition

ISBN: 9780321977106

Author: Nagle, R. Kent

Publisher: Pearson Education, Limited

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Chapter 4.4, Problem 4E

In Problem 1-8, decide whether or not the method of undetermined coefficient can be applied to find a particular solution of the given equation.

x ″ + 5 x ′ − 3 x = 3 t

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Chapter 4.4, Problem 3E

Chapter 4.4, Problem 5E

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Chapter 4 Solutions

Fundamentals of Differential Equations and Boundary Value Problems

Ch. 4.1 - Verify that for b=0 and Fext(t)=0, equation (3)...Ch. 4.1 - If Fext(t)=0, equation (3) becomes my+by+ky=0. For...Ch. 4.1 - Show that if Fext(t)=0, m=1, k=9, and b=6, then...Ch. 4.1 - Prob. 4E Ch. 4.1 - Verify that the exponentially damped sinusoid...Ch. 4.1 - An external force F(t)=2cos2t is applied to a...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - Undamped oscillators that are driven at resonance...

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In Problem 1-8, decide whether or not the method of undetermined coefficient can be applied to find a particular solution of the given equation. x ″ + 5 x ′ − 3 x = 3 t

Solution Summary: The author explains that the method of undetermined coefficients is applicable only on nonhomogeneous equations that are polynomial, exponential, sine or cosines or product of these function.

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Chapter 4 Solutions