y" +4y=0; y(t) = cos(21), y(t) = sin(21)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I need to solve for #19.

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
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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