Problem 3 Suppose that the functions y = 4 (constant), y2 = 2e2 and y3 = 3- e2 are solutions of a third order homogeneous linear differential equation. Do the functions y1, Y2, and y3 form a fundamental set of solutions of that equation? Explain and justify your answer.
Problem 3 Suppose that the functions y = 4 (constant), y2 = 2e2 and y3 = 3- e2 are solutions of a third order homogeneous linear differential equation. Do the functions y1, Y2, and y3 form a fundamental set of solutions of that equation? Explain and justify your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Problem 3
Suppose that the functions y = 4 (constant), y2 = 2e2 and y3 = 3 - e24 are solutions
of a third order homogeneous linear differential equation. Do the functions y1, y2, and y3 form a fundamental set
of solutions of that equation? Explain and justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbfa10d8-6018-46f2-b3c7-e10774a80fe6%2F049285c9-e3e5-4814-8a40-5943f9d2cc13%2Fawccz9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 3
Suppose that the functions y = 4 (constant), y2 = 2e2 and y3 = 3 - e24 are solutions
of a third order homogeneous linear differential equation. Do the functions y1, y2, and y3 form a fundamental set
of solutions of that equation? Explain and justify your answer.
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