5) Find the Laplace transform of the following functions sinh at cosh at eat sin bt eat cos bt theat, n = positive integer a 52-a²³ S s² - a²³ s-a s> |a| b (s-a)² + b²¹ s> |a| n! (s-a)n+1¹ (s-a)² + b²¹ s> a s> a s> a
5) Find the Laplace transform of the following functions sinh at cosh at eat sin bt eat cos bt theat, n = positive integer a 52-a²³ S s² - a²³ s-a s> |a| b (s-a)² + b²¹ s> |a| n! (s-a)n+1¹ (s-a)² + b²¹ s> a s> a s> a
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Question
(5) Mathematical Physics
Topic: Fourier and Laplace Transform and their Applications
![5) Find the Laplace transform of the following functions
sinh at
cosh at
eat sin bt
eat cos bt
theat, n = positive integer
a
s².
5²
-
S
-
9²⁹
a²⁹
s-a
s> |a|
b
3
(sa)² + b²
s> |a|
n!
(s-a)n+1
(sa)² + b2'
s> a
s > a
s> a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F779cf15f-7c72-4fa9-ba7e-a3165aae815f%2F8d45a617-1af6-4553-bda8-e721bc0769c7%2Fjsuttli_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5) Find the Laplace transform of the following functions
sinh at
cosh at
eat sin bt
eat cos bt
theat, n = positive integer
a
s².
5²
-
S
-
9²⁹
a²⁹
s-a
s> |a|
b
3
(sa)² + b²
s> |a|
n!
(s-a)n+1
(sa)² + b2'
s> a
s > a
s> a
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