Find the general solution to (D5-2D3-2D²-3D-2)y=0 O y= e-X(Cı + Czx) + C3e2X + C4COSx+ Cssinx Oy=ex(C₁ + C₂x) + C3e2x + C4cOSX + Cçsinx y=eX(C₁+C₂x) Oy=eX(C₁+C₂x) + C3e-2x+ C4cosx + C-sinx + C3e2x + C4cos2x+ Cçsin2x

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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Find the general solution to
(D5-2D³-2D²-3D-2)y=0
Oy=ex(C₁+C₂x)
+ C3e2x + C4cosx + С5sinx
Oy=ex(C₁+C₂x) + C3e2x + C4cOSX + Cçsinx
y=eX(C₁+C₂x)
+ C3e-2x + C4cosx + Cçsinx
y=eX(C₁ + C₂x) + C3e2x + C4cos2x + С-sin2x
Transcribed Image Text:Find the general solution to (D5-2D³-2D²-3D-2)y=0 Oy=ex(C₁+C₂x) + C3e2x + C4cosx + С5sinx Oy=ex(C₁+C₂x) + C3e2x + C4cOSX + Cçsinx y=eX(C₁+C₂x) + C3e-2x + C4cosx + Cçsinx y=eX(C₁ + C₂x) + C3e2x + C4cos2x + С-sin2x
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