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Solved: 31–36, determine the form of a particular solution

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

Solution for problem 32E Chapter 4.5

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 32E

In 31–36, determine the form of a particular solution for the differential equation. Do not solve.

Step-by-Step Solution:
Step 1 of 3

Solution:-Step1Given thatWe have to determine the form of a particular solution for the differential equation. Do not solve.Step2We havey”-y=The auxiliary equation for given differential equation is Step3So, the solution to the differential equation is Step4Assume that be a particular solution to the differential equation.Then be in the form of for some number Therefore, the form of a particular solution for the differential equation is .Or

Step 2 of 3

Chapter 4.5, Problem 32E is Solved
Step 3 of 3

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

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Solved: 31–36, determine the form of a particular solution