00 Let f(t) be a function on [0,00). The Laplace transform of f is the function F defined by the integral F(s) = S. estf(t)dt. Use this definition to determine the Laplace transform of the 0 following function. f(t)=e 6t sin 6t The Laplace transform It is defined for s> CI of f(t) is F(s) = (Type an expression using s as the variable.) (Type an integer or a fraction.)
00 Let f(t) be a function on [0,00). The Laplace transform of f is the function F defined by the integral F(s) = S. estf(t)dt. Use this definition to determine the Laplace transform of the 0 following function. f(t)=e 6t sin 6t The Laplace transform It is defined for s> CI of f(t) is F(s) = (Type an expression using s as the variable.) (Type an integer or a fraction.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![00
Let f(t) be a function on [0,00). The Laplace transform of f is the function F defined by the integral F(s) =
S.
estf(t)dt. Use this definition to determine the Laplace transform of the
0
following function.
f(t)=e
6t
sin 6t
C
The Laplace transform of f(t) is F(s) = (Type an expression using s as the variable.)
(Type an integer or a fraction.)
It is defined for s>](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac6c0457-7a45-43f2-b38c-64ac65853ed3%2F90f5ed18-7ed6-456d-896c-a511e2e6d312%2Fkv76y3d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:00
Let f(t) be a function on [0,00). The Laplace transform of f is the function F defined by the integral F(s) =
S.
estf(t)dt. Use this definition to determine the Laplace transform of the
0
following function.
f(t)=e
6t
sin 6t
C
The Laplace transform of f(t) is F(s) = (Type an expression using s as the variable.)
(Type an integer or a fraction.)
It is defined for s>
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