(b) The decomposed Laplace Transformed of y(t) is given by OA 41 S-2 1 +4 (S-2)2 +1 (S-2)² +1 O B. -- O C. 11 3 s O C. O D. 41 —— O D. +5 S -2- S-2 - (S-2)² +1 1 S-1 1 + 2 s 2 (S-1)2² +1 2 (S-1)²+1 s-1 +5. 3 s (S-1)²+1 y(t) = 3 +6 y(t) = ₁ (c) The solution to the IVP is OA. y(t) = -3-2e²t cost+6e²¹ sint OB. 1 -5e2t 1 (S-1)². 1 (S-1)²+1 - +4- +5e¹ cost +4e¹ sint cost+4te²t sint 1 1 y(t) ==-=-e¹c cost+=e¹ sint e OE. None of the given answers is correct
(b) The decomposed Laplace Transformed of y(t) is given by OA 41 S-2 1 +4 (S-2)2 +1 (S-2)² +1 O B. -- O C. 11 3 s O C. O D. 41 —— O D. +5 S -2- S-2 - (S-2)² +1 1 S-1 1 + 2 s 2 (S-1)2² +1 2 (S-1)²+1 s-1 +5. 3 s (S-1)²+1 y(t) = 3 +6 y(t) = ₁ (c) The solution to the IVP is OA. y(t) = -3-2e²t cost+6e²¹ sint OB. 1 -5e2t 1 (S-1)². 1 (S-1)²+1 - +4- +5e¹ cost +4e¹ sint cost+4te²t sint 1 1 y(t) ==-=-e¹c cost+=e¹ sint e OE. None of the given answers is correct
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
8 please show written work Part C only
Transcribed Image Text:(b) The decomposed Laplace Transformed of y(t) is given by
OA 41
1
(s −2)² +1
OB.
3 s
O C. 11
OC.
O D. 41
==
OD.
-3- -2-
S
+5
S-2
(s - 2)² +1
y(t) =
S-2
(S-2)² +1
+4-
1 S-1
1
+
2 s 2 (S-1)2² +1 2 (S-1)² +1
1
- +5
+4
3 s (S-1)2 +1 (S-1)² +1
y(t):
=
S-1
(c) The solution to the IVP is
OA y(t) = -3-2e²t cost+6e²¹ sint
OB.
1
(s− 1)²
+6-
1
4
y(t) = +5e¹ cost + 4e¹ sint
5e2t cost+4te2t sin t
1
2
OE. None of the given answers is correct
-e¹ cost+e¹ sint
-½-½e¹
e's
Transcribed Image Text:Consider the initial value problem
y" - y'=e¹ cost, y(0) = 0, y'(0) = 0
(a) The Laplace Trabsform of y(t) is given by
OA
1
1
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
