laplace transform sin(3x+4)

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laplace transform sin(3x+4)

Solution

sin(4)s+3cos(4)s²+9

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L{sin(3x+4)}

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

L{sin(3x+4)}=ssin(4)+3cos(4)s²+3²

=ssin(4)+3cos(4)s²+3²

=sin(4)s+3cos(4)s²+9

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inverse laplace sin(3x+4)

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

laplace transform sin(3x+4)

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