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In 15–24, solve for y(s), the Laplace | Ch 7.5 - 22E

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

Solution for problem 22E Chapter 7.5

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 22E

In 15–24, solve for y(s), the Laplace transform of the solution y(t) to the given initial value problem.

Step-by-Step Solution:

Solution :Given equation is y” -6y’ +5y =tet …………………………………..(1)Initial conditions are y(0)=2 and y’(0)=-1Step 1 : When L(Laplace transform) is applied to both sides of (1) we getL[ y” - 6y’ + 5y] =L[tet ] -> L[ y”] - 6 L[y’] +5 L[y] =L[tet ]

Step 2 of 6

Chapter 7.5, Problem 22E is Solved
Step 3 of 6

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

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In 15–24, solve for y(s), the Laplace | Ch 7.5 - 22E