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laplace transform sin(x-7)

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laplace transform sin(x−7)

Solution

−sin(7)s+cos(7)s²+1

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L{sin(x−7)}

Use Laplace Transform table: L{sin(at+b)}=s·sin(b)+a·cos(b)s²+a²

L{sin(x−7)}=ssin(−7)+1· cos(−7)s²+1²

=ssin(−7)+1· cos(−7)s²+1²

=−sin(7)s+cos(7)s²+1

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inverse laplace sin(x−7)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

laplace transform sin(x-7)

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