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
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Question

last three 

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: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)
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
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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