y""+12y" +36y=0; y (0) = 0; y'(0) = 1;y" (0) = -7 ✓y""+y" - 2y=0 y" - 4y'-5y=0; y ( 1) = 0; y' (1)=2 1
y""+12y" +36y=0; y (0) = 0; y'(0) = 1;y" (0) = -7 ✓y""+y" - 2y=0 y" - 4y'-5y=0; y ( 1) = 0; y' (1)=2 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
last three
Transcribed Image Text:A.
7
Ay=c₁+c₁₂e³+c₁₂e²
Cze
3
B.y=c₁e¹+e¯¹(c
-X
33
3
C.
y = e
D.
F.
y =
E.y=c₁₂e
1
5
36
y=
– 1
-
3
'+e-¹(c₂cost+c₂sint)
(c¸cos-
1
5
36
- 4x
∙e
- 6x
3
+c xe
€₂xe
2
:- (-1)
2
5x
+
-x+c
+
- 4x
1
3
1
+₂sin-
6
3
xe
- 6x
√2
3
5 (t-1)
-x)
Transcribed Image Text:y""+12y" +36y=0; y (0) = 0; y'(0) = 1;y" (0) = -7
✓y"+y" - 2y=0
y" - 4y'-5y=0; y ( 1) = 0; y' (1)=2
1
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