(a) Use the energy integral lemma to derive the family of

ISBN: 9780321747730 43

Solution for problem 5E Chapter 4.8

Fundamentals of Differential Equations | 8th Edition

Fundamentals of Differential Equations | 8th Edition

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Problem 5E

PROBLEM 5E

(a) Use the energy integral lemma to derive the family of solutions to the equation

(b) For c 0 show that these solutions are pairwise linearly independent for different values of c in an appropriate interval around t = 0.

Step-by-Step Solution:

Solution

Step 1

In this problem, we have to derive the family of solution to the equation .

b) We have to show that pairwise solution is linearly independent.

c) We have to check the initial conditions whether it satisfies by the solution or not.

Step 2 of 6

Step 3 of 6

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