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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 2YT
Related questions
Question
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Use laplace transform to solve the given initial value problem.
#5 only
![3. y"(t)+5y'(t)+4y(t) = 0, y(0) = 1, y'(0) = 0
4
Ans. y(t)
=
-
Ans. y
-
3
3
4. y"+y = √2 sin √2 t, y(0) = 10, y'(0) = 0
Ans. y=10 cost + 2 sint -√√2 sin√√2t
-1/2
1
5. 2y+3y"-3y¹-2y=e",
y(0)=y'(0) = 0, y "(0)=1
8
9
+
-4t
1
9
+
5
é + ½ e ²¹
18 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d4c298c-78b9-44d2-ad15-209410fcb331%2F599f76cc-0b7c-40b2-89ee-b344de18056a%2Fqkw27as_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. y"(t)+5y'(t)+4y(t) = 0, y(0) = 1, y'(0) = 0
4
Ans. y(t)
=
-
Ans. y
-
3
3
4. y"+y = √2 sin √2 t, y(0) = 10, y'(0) = 0
Ans. y=10 cost + 2 sint -√√2 sin√√2t
-1/2
1
5. 2y+3y"-3y¹-2y=e",
y(0)=y'(0) = 0, y "(0)=1
8
9
+
-4t
1
9
+
5
é + ½ e ²¹
18 2
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