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Solved: In 1–14, find a general solution for the

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 1E Chapter 6.2

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

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Problem 1E

In 1–14, find a general solution for the differential equation with x as the independent variable.

Step-by-Step Solution:

Solution :Step 1 of 3 : In this problem, we need to find a general solution for the differential equation with x as the independent variable.y’’’ + 2 y’’ - 8 y = 0Step 2 of 3 : The auxiliary equation is m³ + 2 m² - 8 m = 0 Factor this equation m (m² + 2 m - 8) = 0m (m-2) (m+4) = 0 The roots of the auxiliary equation is 0, 2 and -4.

Step 3 of 3

Chapter 6.2, Problem 1E is Solved
Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

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