laplace transformation cos(2x+5)

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laplace transform cos(2x+5)

Solution

cos(5)s−2sin(5)s²+4

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Solution steps

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L{cos(2x+5)}

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

L{cos(2x+5)}=scos(5)−2sin(5)s²+2²

=scos(5)−2sin(5)s²+2²

=cos(5)s−2sin(5)s²+4

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inverse laplace cos(2x+5)

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

laplace transformation cos(2x+5)

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