Use the Laplace transform to solve the given initial-value probler y" + y = 8 (t – 27) + 8 (t- 47), y (0) = 1 & y (0) = OL{y (t)} = Y (s) = 1 -2nt + etit] 4nt 82+1 y (t) = cost - sin t [u (t - 2n) + u (t- 47)] | O L{y (t)} = Y (s) = -- -2nt - 82+1 y (t) = - cost - sin t [u (t - 2n) - u (t – 47)] L{y (t)} = Y (s) = +le bat + etrt] -2nt 82+1 y (t) = cost + sin t [u (t – 27)+ u (t – 47)] O L{y (t)} = Y (s) = +e nt +e] %3D 82+1
Use the Laplace transform to solve the given initial-value probler y" + y = 8 (t – 27) + 8 (t- 47), y (0) = 1 & y (0) = OL{y (t)} = Y (s) = 1 -2nt + etit] 4nt 82+1 y (t) = cost - sin t [u (t - 2n) + u (t- 47)] | O L{y (t)} = Y (s) = -- -2nt - 82+1 y (t) = - cost - sin t [u (t - 2n) - u (t – 47)] L{y (t)} = Y (s) = +le bat + etrt] -2nt 82+1 y (t) = cost + sin t [u (t – 27)+ u (t – 47)] O L{y (t)} = Y (s) = +e nt +e] %3D 82+1
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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11) Please help with following multiple choice ASAP!
![Use the Laplace transform to solve the given initial-value problem.
y" + y = 8 (t – 2n)+ 8 (t – 47), y (0) = 1 & y (0) = 0
%3|
|
OL{y (t)} = Y (s) = - e-2nt + ent]
1
s2+1
s2+1
y (t)
= cos t – sin t (u (t – 27) + u (t – 47)]
O L{y (t)} = Y (s) = - - ett]
1.
-2nt
s2+1
82+1 le
y (t) = - cost – sin t [u (t – 27) – u (t – 47)]
L{y (t)} = Y (s) = +e-2t +e]
1
-2nt
4nt
s2+1
s2+1
y (t) = cost + sin t [u (t – 27) + u (t – 47)|
%3D
O L{y(t)} = Y (s) = + e +et]
1
-2nt
4nt
s2+1
s2+1
y (t) = sint + cost (u (t – 27) + u (t – 47)]
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74a43f44-8ce4-41e9-89f6-5a77f02dff59%2F476ca0bc-5a5f-4b23-91ee-c980f7967411%2Fedeekpp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem.
y" + y = 8 (t – 2n)+ 8 (t – 47), y (0) = 1 & y (0) = 0
%3|
|
OL{y (t)} = Y (s) = - e-2nt + ent]
1
s2+1
s2+1
y (t)
= cos t – sin t (u (t – 27) + u (t – 47)]
O L{y (t)} = Y (s) = - - ett]
1.
-2nt
s2+1
82+1 le
y (t) = - cost – sin t [u (t – 27) – u (t – 47)]
L{y (t)} = Y (s) = +e-2t +e]
1
-2nt
4nt
s2+1
s2+1
y (t) = cost + sin t [u (t – 27) + u (t – 47)|
%3D
O L{y(t)} = Y (s) = + e +et]
1
-2nt
4nt
s2+1
s2+1
y (t) = sint + cost (u (t – 27) + u (t – 47)]
%3D
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