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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 ●●●

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
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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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 ●●●
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