Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral f(t) = L{f(t)} is said to be the Laplace transform of f, provided that the integral converges. Find £{f(t)}. (Write your answer as a function of s.) (-1, 0 ≤t<1 t≥ 1 = L{f(t)}: = - f.° e 10 Need Help? Read It e-stf(t) dt X (s > 0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

What is the answer?

Use Definition 7.1.1.
SEM
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t≥ 0. Then the integral
L{f(t)}
£{f(t)} =
- Love e-stf(t) dt
is said to be the Laplace transform of f, provided that the integral converges.
Find £{f(t)}. (Write your answer as a function of s.)
f(t) = (-1;
1,
Need Help?
0 ≤t<1
t≥ 1
Read It
X (s > 0)
Transcribed Image Text:Use Definition 7.1.1. SEM DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)} £{f(t)} = - Love e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find £{f(t)}. (Write your answer as a function of s.) f(t) = (-1; 1, Need Help? 0 ≤t<1 t≥ 1 Read It X (s > 0)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 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,