Find the solution to the given differential equation. y" + 8y'+ 16y=0 3y" + 2y'+y=0 ✓y'''- 4y" - 5y'=0 - I I
Find the solution to the given differential equation. y" + 8y'+ 16y=0 3y" + 2y'+y=0 ✓y'''- 4y" - 5y'=0 - I I
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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![Find the solution to the given differential equation.
y" + 8y'+ 16y=0
3y" + 2y'+y=0
y"-4y" - 5y'=0
5x
A₁y=c₁+c +c_e
- cze 3
B.y=c₁e¹+e-¹(c₂cost+csint)
3
C.
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
E.
y = e
F.
-X
▬
D. 5
y =
3
36
y=c¸e
- 1
3
(ccos
5
36
- 4x
√2 √2
-x+c sinx)
2
- 6x
∙e +
+c xe
2 te
e¯(t−1),
- 4x
+
1
3
1
-xe
6
- 6x
5 (t-1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9dbe3aca-3bf2-4221-bb74-64e96a02685e%2Fc0aee173-b779-4259-a0a1-d7981446ceb8%2Ftjilkep_processed.png&w=3840&q=75)
Transcribed Image Text:Find the solution to the given differential equation.
y" + 8y'+ 16y=0
3y" + 2y'+y=0
y"-4y" - 5y'=0
5x
A₁y=c₁+c +c_e
- cze 3
B.y=c₁e¹+e-¹(c₂cost+csint)
3
C.
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
E.
y = e
F.
-X
▬
D. 5
y =
3
36
y=c¸e
- 1
3
(ccos
5
36
- 4x
√2 √2
-x+c sinx)
2
- 6x
∙e +
+c xe
2 te
e¯(t−1),
- 4x
+
1
3
1
-xe
6
- 6x
5 (t-1)
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