Find the solution of the given initial value problem. y" + 4y = u,(t) – uzn (t), y(0) = 7, y' (0) = 5 5 y(t) = [un – U3n](1 – sin2t) + 7cos2t +sin2t 1 5 y(t) = [un – uz1](1 + sin2t) + 7sin2t + cos2t 1 4" 5 y(t) = [u, – u37](1 – cos2t) + 7cos2t +sin2t 2 5 [U – u3m](1 – cos2t) – 7cos2t – sin2t 2 5 y(t) = [u, – u34](1 – sin2t) + 7sin2t + cos2t 1 4' 1 y(t) 4 4
Find the solution of the given initial value problem. y" + 4y = u,(t) – uzn (t), y(0) = 7, y' (0) = 5 5 y(t) = [un – U3n](1 – sin2t) + 7cos2t +sin2t 1 5 y(t) = [un – uz1](1 + sin2t) + 7sin2t + cos2t 1 4" 5 y(t) = [u, – u37](1 – cos2t) + 7cos2t +sin2t 2 5 [U – u3m](1 – cos2t) – 7cos2t – sin2t 2 5 y(t) = [u, – u34](1 – sin2t) + 7sin2t + cos2t 1 4' 1 y(t) 4 4
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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 + 7cos2t +sin2t
1
5
y(t) = [un – uz1](1 + sin2t) + 7sin2t + cos2t
1
4"
5
y(t) = [u, – u37](1 – cos2t) + 7cos2t +sin2t
2
5
[U – u3m](1 – cos2t) – 7cos2t – sin2t
2
5
y(t) = [u, – uzr](1 – sin2t) + 7sin2t +cos2t
1
4'
1
y(t)
4
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77cac1a6-5ad9-4f72-bdd9-21a202e53df4%2F6674e60c-7ca4-4c61-815a-569155c0e565%2Fmkz6n7i_processed.png&w=3840&q=75)
Transcribed Image Text:Find the solution of the given initial value problem.
y" + 4y = u,(t) – uzn (t), y(0) = 7, y' (0) = 5
5
y(t) = [un – U3n](1 – sin2t) + 7cos2t +sin2t
1
5
y(t) = [un – uz1](1 + sin2t) + 7sin2t + cos2t
1
4"
5
y(t) = [u, – u37](1 – cos2t) + 7cos2t +sin2t
2
5
[U – u3m](1 – cos2t) – 7cos2t – sin2t
2
5
y(t) = [u, – uzr](1 – sin2t) + 7sin2t +cos2t
1
4'
1
y(t)
4
4
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