A First Course in Differential Equations with Modeling Applications (MindTap Course List)

11th Edition

ISBN: 9781305965720

Author: Dennis G. Zill

Publisher: Cengage Learning

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Chapter 4.3, Problem 64E

Consider the boundary-value problem y ″ + λ y = 0 , y(0) = 0, y(π/2) = 0. Discuss: Is it possible to determine real values of λ so that the problem possesses (a) trivial solutions? (b) nontrivial solutions?

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Chapter 4.3, Problem 63E

Chapter 4.4, Problem 1E

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Chapter 4 Solutions

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Ch. 4.1 - In Problems 14 the given family of functions is...Ch. 4.1 - In Problems 14 the given family of functions is...Ch. 4.1 - In Problems 14 the given family of functions is...Ch. 4.1 - In Problems 14 the given family of functions is...Ch. 4.1 - Given that y=c1+c2x2 is a two-parameter family of...Ch. 4.1 - Find two members of the family of solutions in...Ch. 4.1 - Given that x(t) = c1 cos t + c2 sin t is the...Ch. 4.1 - Use the general solution of x + 2x = 0 given in...Ch. 4.1 - In Problems 9 and 10 find an interval centered...Ch. 4.1 - In Problems 9 and 10 find an interval centered...

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Consider the boundary-value problem y ″ + λ y = 0 , y (0) = 0, y (π/2) = 0. Discuss: Is it possible to determine real values of λ so that the problem possesses ( a ) trivial solutions? ( b ) nontrivial solutions?

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