3s-5 s2+4s+2 Ans: 5.39e-3.41t 2.39e-0.586t 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Answer number 2. Show soln
Find the Inverse Laplace, f (t) of the following F(s):
1.
4(s+1)
Ans: -4e-2t + 4e¬3t + 8te-3t
(s+2)(s+3)²
3s-5
2.
s2+4s+2
Ans: 5.39e-3.41t – 2.39e-0.586t
3.
s+2
Ans: 8(t) – 2e-2t
10
4.
s3+2s²+5s
Ans: 2+e-(-2 cos 2t – sin 2t) = 2 + 2.24e-t cos(2t
3-6e-2s
5.
(s+2)(s+3)
Ans: 3e-2t – 3e-3t – [6e-2(t-2) – 6e-3(t-2)]u(t – 2)
Transcribed Image Text:Find the Inverse Laplace, f (t) of the following F(s): 1. 4(s+1) Ans: -4e-2t + 4e¬3t + 8te-3t (s+2)(s+3)² 3s-5 2. s2+4s+2 Ans: 5.39e-3.41t – 2.39e-0.586t 3. s+2 Ans: 8(t) – 2e-2t 10 4. s3+2s²+5s Ans: 2+e-(-2 cos 2t – sin 2t) = 2 + 2.24e-t cos(2t 3-6e-2s 5. (s+2)(s+3) Ans: 3e-2t – 3e-3t – [6e-2(t-2) – 6e-3(t-2)]u(t – 2)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,