8. The auxiliary roots of the auxiliary equation associated with a certain homogeneous LDE are m = ±3, ±3i, ±3i. What is the general solution? A. y = (C₁+C₁₂)e ³x + (C3 cos 3x + C4 sin 3x) + x(C5 cos 3x + C6 sin 3x) B. y=C₁e-³x + C₂e³x +(C3 cos 3x + C4 sin 3x) + x(C5 cos 3x + Co sin 3x) ±3.x C. y = (C₁+C₂)e=³x + (C3 + C₁ )e=³i 13.x D. y = (C₁+C₂)e ³x + (C3 cos 3x + C4x sin 3x) A A B) B ●●●

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
8. The auxiliary roots of the auxiliary equation associated with a certain homogeneous LDE are
m = ±3, ±3i, ±3i. What is the general solution?
A. y = (C₁+C₂)e=³x + (C3 cos 3x + C4 sin 3x) + x(C5 cos 3x + C6 sin 3x)
-3.x
B. y=₁e-³x+₂³x +(C3 cos 3x + C4 sin 3x) + x(C5 cos 3x + C sin 3x)
C. y = (C₁+C₂) e ³x + (C3 + C₁ )e=³i
13.x
D. y = (C₁+C₂)e ³x + (C3 cos 3x + C4x sin 3x)
A A
B B
с C
D) D
●●●
Transcribed Image Text:8. The auxiliary roots of the auxiliary equation associated with a certain homogeneous LDE are m = ±3, ±3i, ±3i. What is the general solution? A. y = (C₁+C₂)e=³x + (C3 cos 3x + C4 sin 3x) + x(C5 cos 3x + C6 sin 3x) -3.x B. y=₁e-³x+₂³x +(C3 cos 3x + C4 sin 3x) + x(C5 cos 3x + C sin 3x) C. y = (C₁+C₂) e ³x + (C3 + C₁ )e=³i 13.x D. y = (C₁+C₂)e ³x + (C3 cos 3x + C4x sin 3x) A A B B с C D) D ●●●
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,