18. 4у" - 4y - Зу = 0 (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
Related questions
Question
HELP WITH 18
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. y" - 3y + 2y = 0
6. " - y
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
14. " + 2y + y = 0
15. y* - 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
Expert Solution
Step 1: Finding the auxiliary equation
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