QUESTION 1 Find the solution to the given differential equation. "+8y'+ 16y=0 ✓3y" + 2y'+y=0 y"-4y" - 5y'=0 A. B. y= 5 36 36 y=e -x 10 5 - 1 3 e D₁y=c₁ +c₂e 1 2 - 6x + 2 3 1 (c_cos- -x+c_sin- -x) 3 Ey=ce 4t, xe +c -xe 6 C₁y=c₁e¹+e-¹(c₂cost+c¸sint) 5x •¯* + c₂e³¹² E. y=- ¹2+ = ³0 (t-1) 3 - 4x - 6x 5 (t-1)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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QUESTION 1
Find the solution to the given differential equation.
"+8y'+ 16y=0
✓3y" + 2y'+y=0
✓y"-4y" - 5y'=0
A.
B.
y=
E.
5
36
-X
3
y =
C₁y=c₁e²+ e
y=e (c_cos
-1
3
5
36
F₁y=c₁e
-x
D.y=c₁+c₂e\ +c
e
1
-6x
e + ·xe
6
- 4x
-t
3
-(t-1)
(c_cost+c sint)
-cze ³x
Sx
+
+ c 2 te
-x+c sin-
- 6x
3
- 4x
,5 (t-1)
3
Transcribed Image Text:QUESTION 1 Find the solution to the given differential equation. "+8y'+ 16y=0 ✓3y" + 2y'+y=0 ✓y"-4y" - 5y'=0 A. B. y= E. 5 36 -X 3 y = C₁y=c₁e²+ e y=e (c_cos -1 3 5 36 F₁y=c₁e -x D.y=c₁+c₂e\ +c e 1 -6x e + ·xe 6 - 4x -t 3 -(t-1) (c_cost+c sint) -cze ³x Sx + + c 2 te -x+c sin- - 6x 3 - 4x ,5 (t-1) 3
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