What is the general solution of (Dº + 16Dª + 64D²) y = 0 %3D O y = C1 + (C2 + C4r) cos 2/2x + (C3 + C5a) sin 2/2r y = C1 + C2x + (C3 + C5x) cos 8r + (C, + C6x) sin 8r y = C1+ C2x to (C3 + C52) cos 2/2 + (C, + Cor) sin 2/2r Oy = (C + C3x) cos 2/2x + (C2 + Car) sin 2 V2x
What is the general solution of (Dº + 16Dª + 64D²) y = 0 %3D O y = C1 + (C2 + C4r) cos 2/2x + (C3 + C5a) sin 2/2r y = C1 + C2x + (C3 + C5x) cos 8r + (C, + C6x) sin 8r y = C1+ C2x to (C3 + C52) cos 2/2 + (C, + Cor) sin 2/2r Oy = (C + C3x) cos 2/2x + (C2 + Car) sin 2 V2x
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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![What is the general solution of (Dº + 16Dª + 64D²) y = 0
O y = C1 + (C2 + C4r) cos 2/2x + (C3 + C5x) sin 2/2x
y = C1 + C2r + (C3 + C5x) cos 8z + (C, + Cox) sin 8r
y = C1+ C2x
to
(C3 + C52) cos 2/2 + (C, + Cor) sin 2/2r
Oy = (Cı + C3x) cos 2/2x + (C2+ C1r) sin 2/2x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34944c48-1ea8-45df-ada6-9c0f7fe82295%2Fe604f103-4845-41ae-99df-b91c02a979e9%2F9x804wr_processed.png&w=3840&q=75)
Transcribed Image Text:What is the general solution of (Dº + 16Dª + 64D²) y = 0
O y = C1 + (C2 + C4r) cos 2/2x + (C3 + C5x) sin 2/2x
y = C1 + C2r + (C3 + C5x) cos 8z + (C, + Cox) sin 8r
y = C1+ C2x
to
(C3 + C52) cos 2/2 + (C, + Cor) sin 2/2r
Oy = (Cı + C3x) cos 2/2x + (C2+ C1r) sin 2/2x
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