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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

Advanced Engineering Mathematics
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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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
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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