Find the Laplace transform of coshbt. Recall that coshbt = ebt + é 2 and sinhbt = ebt - é 2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
Problem 91E
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Find the Laplace transform of coshbt. Recall that coshbt =
ebt
L {coshbt}
L{coshbt} =
OL{coshbt}
O
=
L {coshbt}
=
L{coshbt} =
=
b
6² 5²
S
s²_ 6²
S
6² $²
b
s²6²
S
s² + b²
ebt
+ e-bt
and sinhbt = - =
2
2
e-bt
Transcribed Image Text:Find the Laplace transform of coshbt. Recall that coshbt = ebt L {coshbt} L{coshbt} = OL{coshbt} O = L {coshbt} = L{coshbt} = = b 6² 5² S s²_ 6² S 6² $² b s²6² S s² + b² ebt + e-bt and sinhbt = - = 2 2 e-bt
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