In each of Problems 19 through 21, verity that the functions y₁ and y/₂ are solutions of the given differential equation. Do they constitute a fundamental set of solutions? 19. y" +4y=0; y(t) = cos(21), y(t) = sin(21) 20. y"-2y+y=0; y(t) = e', y₂(t) = tel
In each of Problems 19 through 21, verity that the functions y₁ and y/₂ are solutions of the given differential equation. Do they constitute a fundamental set of solutions? 19. y" +4y=0; y(t) = cos(21), y(t) = sin(21) 20. y"-2y+y=0; y(t) = e', y₂(t) = tel
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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I need to solve for #20.
![In each of Problems 19 through 21, verify that the functions y₁ and y₂
are solutions of the given differential equation. Do they constitute a
fundamental set of solutions?
19. y" +4y=0; y₁(t) = cos(21), y2(t) = sin(21)
20. y"-2y+y=0; y₁(t)=e', y₂(t) = tel](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fe6c597-fb1b-45aa-893f-cbe11902dc3a%2F0f0c1add-2ccd-47ca-a0e1-309a7f98d99d%2Fzxzepph_processed.png&w=3840&q=75)
Transcribed Image Text:In each of Problems 19 through 21, verify that the functions y₁ and y₂
are solutions of the given differential equation. Do they constitute a
fundamental set of solutions?
19. y" +4y=0; y₁(t) = cos(21), y2(t) = sin(21)
20. y"-2y+y=0; y₁(t)=e', y₂(t) = tel
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