Match the general solutions to the differential equations. (D²+20+5)²y=0 ✓(D²-6D+10)²y=0 ✓(0²-8D+25)² y=0 ✓(D²-40+29)² y = 0 A. y = 2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) B.y=e4x (A cos3x + 8 sin3x + Cx cos3x + Ex sin3x) C.y=eX(A cos2x+ B sin2x + Cx cos2x+ Ex sin2x) D.y = 3x (A cosx + B sinx + Cx cosx + Ex sinx) E. y = 2x (A cos5x + 8 sin5x + Cx cos5x + Ex sin5x) F. y = 4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) G.y=eX(A cos2x + 8 sin2x + Cx cos2x+ Ex sin2x) Huy= e3X(A cosx + E sinx + Cx cosx + Ex sinx)
Match the general solutions to the differential equations. (D²+20+5)²y=0 ✓(D²-6D+10)²y=0 ✓(0²-8D+25)² y=0 ✓(D²-40+29)² y = 0 A. y = 2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) B.y=e4x (A cos3x + 8 sin3x + Cx cos3x + Ex sin3x) C.y=eX(A cos2x+ B sin2x + Cx cos2x+ Ex sin2x) D.y = 3x (A cosx + B sinx + Cx cosx + Ex sinx) E. y = 2x (A cos5x + 8 sin5x + Cx cos5x + Ex sin5x) F. y = 4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) G.y=eX(A cos2x + 8 sin2x + Cx cos2x+ Ex sin2x) Huy= e3X(A cosx + E sinx + Cx cosx + Ex sinx)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Match the general solutions to the differential equations.
✓ (D²+20+5)²y = 0
✓ (D²-6D+ 10)²y=0
✓(D²-8D+25)² y=0
✓(D²-4D+29)² y=0
-
A. y = e2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x)
B. y = e-4x (A cos3x + 8 sin3x + Cx cos3x + Ex sin3x)
C.y=eX(A cos2x- + B sin2x + Cx cos2x + Ex sin2x)
D. y = e3X(A cosx + E sinx + Cx cosx + Ex sinx)
E. y = e-2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x)
F. y = e4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x)
G.y = e(A cos2x + B sin2x + Cx cos2x + Ex sin2x)
H-y = e-3x (A cosx + B sinx + Cx cosx + Ex sinx)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb452828f-d833-475f-b245-f828b7ab3e1a%2F3c26736c-8eda-4e5c-a93f-c1ddffd7dcac%2Fh8d345_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Match the general solutions to the differential equations.
✓ (D²+20+5)²y = 0
✓ (D²-6D+ 10)²y=0
✓(D²-8D+25)² y=0
✓(D²-4D+29)² y=0
-
A. y = e2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x)
B. y = e-4x (A cos3x + 8 sin3x + Cx cos3x + Ex sin3x)
C.y=eX(A cos2x- + B sin2x + Cx cos2x + Ex sin2x)
D. y = e3X(A cosx + E sinx + Cx cosx + Ex sinx)
E. y = e-2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x)
F. y = e4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x)
G.y = e(A cos2x + B sin2x + Cx cos2x + Ex sin2x)
H-y = e-3x (A cosx + B sinx + Cx cosx + Ex sinx)
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