Differential Equations with Boundary-Value Problems

9th Edition

ISBN: 9781337632515

Author: Dennis G. Zill

Publisher: Cengage Learning US

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Differential Equations

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Textbook Question

Chapter 4.1, Problem 1E

In Problems 1–4 the given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem.

1. y = c₁e^x + c₂e^−x, (−∞, ∞); y″ − y = 0, y(0) = 0, y′(0) = 1

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Chapter 3, Problem 22RE

Chapter 4.1, Problem 2E

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Chapter 4 Solutions

Differential Equations with Boundary-Value Problems

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 - Prob. 7E 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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In Problems 1–4 the given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. 1. y = c 1 e x + c 2 e − x , (−∞, ∞); y ″ − y = 0, y (0) = 0, y ′(0) = 1

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Chapter 4 Solutions