y (4) + y + y" = 0 Find all the roots of the auxiliary equation. (Enter your answer as a comma-separated list.) 0.0, -1-√3i 2 y(x): = 3 −1+√3 i 2 Find the general solution of the given equation. ₁ + ₂ + + 6 = ( 3 + ) [2₂2000 •¯ (3x) [₁,₂00 ( √3x) + C₂5 cos + Casin(x)] X
y (4) + y + y" = 0 Find all the roots of the auxiliary equation. (Enter your answer as a comma-separated list.) 0.0, -1-√3i 2 y(x): = 3 −1+√3 i 2 Find the general solution of the given equation. ₁ + ₂ + + 6 = ( 3 + ) [2₂2000 •¯ (3x) [₁,₂00 ( √3x) + C₂5 cos + Casin(x)] X
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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correct the answer please. thank you!
![y (4) + y + y" = 0
Find all the roots of the auxiliary equation. (Enter your answer as a comma-separated list.)
0,0,
-1-√3i -1+√3 i
2
2
Find the general solution of the given equation.
y(x) =
•¯ (3x) [ 4₂000( √/²³²x) + ²₂³in (
-
3
2
(₁
C₁+c₂x+e
Cycin √²+ )]
3
-X
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F624dcfab-19f1-4c4b-b3ec-94b9a5b18d08%2F3fd9dfe1-5e0d-4bcb-bca5-f247ca34fbfc%2Fvnw8zw_processed.png&w=3840&q=75)
Transcribed Image Text:y (4) + y + y" = 0
Find all the roots of the auxiliary equation. (Enter your answer as a comma-separated list.)
0,0,
-1-√3i -1+√3 i
2
2
Find the general solution of the given equation.
y(x) =
•¯ (3x) [ 4₂000( √/²³²x) + ²₂³in (
-
3
2
(₁
C₁+c₂x+e
Cycin √²+ )]
3
-X
X
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