14. + 2y' + y = 0 X(0) =0 y'(0) = 1

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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HELP FIND 14

For Problems 1-19, find the general solution of the given differential
equation. When initial conditions are given, find the solution that satisfies
the stated conditions.
1. y = 0
2. yy' = 0
3. y" - 9y = 0
4. 4y" - y = 0
5. "- 3y + 2y = 0
6. yy'
2y = 0
7.3" + 2y
+ y = 0
8. 4y" - 4y + y = 0
9. 2y" - 3y' + y = 0
10. "-6y + 9y = 0
11. y 8y +16y = 0
12. " - 25y = 0
13. " +y' - 2y = 0
+ 2y' + y = 0
14.
15. - 9y = 0
16. y6y +9y=0
17. " - 4y + 4y= 0
18. 4" - 4y - 3y = 0
19. - 2y' + y = 0
y(0)=0
y(0) = 1
y(0) = 0
y(0) = 1
y(0) = 1
(0) 1
-
(0) 0
y(1) = 0
y'(0) = 0
y'(0) = 0
y'(0) = 1
y'(0) = 0
y'(0) = 0
y'(0)
y'(0) = 1
y'(1) = 1
Transcribed Image Text:For Problems 1-19, find the general solution of the given differential equation. When initial conditions are given, find the solution that satisfies the stated conditions. 1. y = 0 2. yy' = 0 3. y" - 9y = 0 4. 4y" - y = 0 5. "- 3y + 2y = 0 6. yy' 2y = 0 7.3" + 2y + y = 0 8. 4y" - 4y + y = 0 9. 2y" - 3y' + y = 0 10. "-6y + 9y = 0 11. y 8y +16y = 0 12. " - 25y = 0 13. " +y' - 2y = 0 + 2y' + y = 0 14. 15. - 9y = 0 16. y6y +9y=0 17. " - 4y + 4y= 0 18. 4" - 4y - 3y = 0 19. - 2y' + y = 0 y(0)=0 y(0) = 1 y(0) = 0 y(0) = 1 y(0) = 1 (0) 1 - (0) 0 y(1) = 0 y'(0) = 0 y'(0) = 0 y'(0) = 1 y'(0) = 0 y'(0) = 0 y'(0) y'(0) = 1 y'(1) = 1
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