Let f(t) be a function on [0,∞). The Laplace transform of f is the function F defined by the integral F(s) = est (t)dt. Use this definition to determine the 0 Laplace transform of the following function. 11 t, 0

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
Let f(t) be a function on [0,∞). The Laplace transform of f is the function F
defined by the integral F(s) = est f(t)dt. Use this definition to determine the
0
Laplace transform of the following function.
11 t, 0<t<11
f(t) =
0,
11 <t
Set up the integral F(s).
11
F(s) =
e-st (11-t)dt
0
The Laplace transform of f(t) is F(s) =
(Type exact answers.)
for s#0, where F(0) =
Transcribed Image Text:Let f(t) be a function on [0,∞). The Laplace transform of f is the function F defined by the integral F(s) = est f(t)dt. Use this definition to determine the 0 Laplace transform of the following function. 11 t, 0<t<11 f(t) = 0, 11 <t Set up the integral F(s). 11 F(s) = e-st (11-t)dt 0 The Laplace transform of f(t) is F(s) = (Type exact answers.) for s#0, where F(0) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 10 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,