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 4.7, Problem 5E

In Problems 5 through 8, determine whether Theorem 5 applies. If it does, then discuss what conclusions can be drawn. If it does not, explain why.

t 2 z ″ + t z ′ + z = cos t ;

z ( 0 ) = 1 ,

z ′ ( 0 ) = 0

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Chapter 4.7, Problem 4E

Chapter 4.7, Problem 6E

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Chapter 4 Solutions

Fundamentals of Differential Equations and Boundary Value Problems

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In Problems 5 through 8 , determine whether Theorem 5 applies. If it does, then discuss what conclusions can be drawn. If it does not, explain why. t 2 z ″ + t z ′ + z = cos t ; z ( 0 ) = 1 , z ′ ( 0 ) = 0

Solution Summary: The author explains that the existence and uniqueness theorem 5 is not applicable for the differential equation t2z′′

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