dt2 d²y e. ++ 4y = 8t – 10, y(0) = 1, y'(0) = 7 %3D %3D %3D
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
![Q7. Solve the initial value problems using Laplace Transform
dt2
d²y
е.
dt2
dy
+ 4y = 8t – 10, y(0) = 1, y'(0) = 7-
dt
d²y
dy
f. 3
2
dt2
dt
-y = 2y – 1, y(0) = 7,y'(0) = 2
%3D
d'y
+ 2
8. dt2
dy
+ y = 4 cos 2t, y(0) = 0, y'(0) = 2
dt
d²y
h.
dt2
dy
-2e2t , y(0) = 0, y'(0) = 1
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe252b40-0047-43a5-92da-fe640a740e31%2F744a7e19-4ce7-4559-a490-ba8ae8d87c02%2F3v7u7dq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q7. Solve the initial value problems using Laplace Transform
dt2
d²y
е.
dt2
dy
+ 4y = 8t – 10, y(0) = 1, y'(0) = 7-
dt
d²y
dy
f. 3
2
dt2
dt
-y = 2y – 1, y(0) = 7,y'(0) = 2
%3D
d'y
+ 2
8. dt2
dy
+ y = 4 cos 2t, y(0) = 0, y'(0) = 2
dt
d²y
h.
dt2
dy
-2e2t , y(0) = 0, y'(0) = 1
dt
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