What is the laplace transform of (delta(t−(pi)/6))u(t−(pi)/6)

aurelegena 2022-10-09 Answered
What is the laplace transform of ( δ ( t π / 6 ) ) u ( t π / 6 )
I know that L ( f ( t a ) . u ( t a ) ) = e a s . F ( s )
Does that mean the laplace transform of the above equation is e 2 π s ?
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Answers (1)

Alannah Hanson
Answered 2022-10-10 Author has 11 answers
It is equal to 0 since
f ( t ) δ ( t t 0 ) = f ( t 0 ) δ ( t t 0 )
and
u ( π 6 π ) = 0
Also the statement you wrote is wrong. We have
L ( f ( t a ) ) = e a s F ( s )
as long as the ROCs are treated carefully.
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