Given the equation u_(pi)(t)sin(at), where u_(tau)(t) is the Heaviside step function. Give the Laplace transform Y(s).

pulpenoe 2022-09-22 Answered
Given the equation u π ( t ) s i n ( a t ), where u τ ( t ) is the Heaviside step function.
Give the Laplace transform Y(s).
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Answers (1)

Jane Acosta
Answered 2022-09-23 Author has 14 answers
Hint: another variant of the transform law is
L { u c ( t ) f ( t ) } = e c s F ( s + c )
which lets you do a shift after the transform instead of before. This way, you only need the transform of sin ( a t ), rather than the function shifted.
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