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) = co ·S e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. to find {f(t)}. (Write your answer as a function of s.) te 5t £{f(t)} = £{f(t)} = (s > 5)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
icon
Related questions
Question
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)
is said to be the Laplace transform of f, provided that the integral converges.
to find {f(t)}. (Write your answer as a function of s.)
te St
£{f(t)} =
co
·S e-stf(t) dt
=
£{f(t)} =
(s > 5)
Transcribed Image Text: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) is said to be the Laplace transform of f, provided that the integral converges. to find {f(t)}. (Write your answer as a function of s.) te St £{f(t)} = co ·S e-stf(t) dt = £{f(t)} = (s > 5)
→
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t≥ 0. Then the integral
£{f(t)} =
-6-
f(t)
is said to be the Laplace transform of f, provided that the integral converges.
to find {f(t)}. (Write your answer as a function of s.)
L{f(t)} =
(s > 0)
e-stf(t) dt
1
t
Transcribed Image Text:→ DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral £{f(t)} = -6- f(t) is said to be the Laplace transform of f, provided that the integral converges. to find {f(t)}. (Write your answer as a function of s.) L{f(t)} = (s > 0) e-stf(t) dt 1 t
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,