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In 1–14, solve the given initial value problem | Ch 7.5 - 10E

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

Solution for problem 10E 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 10E

In 1–14, solve the given initial value problem using the method of Laplace transforms.

Step-by-Step Solution:

Solution Step 1In this question we have find solution of the given differential equation with the given initial values of the function , using the method of Laplace transform.Given differential equation is - 4y = 4t - 8e-2t Initial value of y at 0 is y(0)=0 and initial value of at 0 is (0)=5Applying the Laplace transform L on both sides of the differential equation we get ,[ ] - 4[y] = 4[t] - 8[e-2t ] ………………………………….(1)

Step 2 of 5

Chapter 7.5, Problem 10E is Solved
Step 3 of 5

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

Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. The full step-by-step solution to problem: 10E from chapter: 7.5 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. This full solution covers the following key subjects: given, initial, Laplace, method, transforms. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. Since the solution to 10E from 7.5 chapter was answered, more than 282 students have viewed the full step-by-step answer. The answer to “In 1–14, solve the given initial value problem using the method of Laplace transforms.” is broken down into a number of easy to follow steps, and 14 words.

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In 1–14, solve the given initial value problem | Ch 7.5 - 10E