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laplace transform 4cos(x)

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laplace transform 4cos(x)

Solution

4ss²+1

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Solution steps

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L{4cos(x)}

Use the constant multiplication property of Laplace Transform:
For function f(t) and constant a: L{a·f(t)}=a·L{f(t)}

=4L{cos(x)}

L{cos(x)}: ss²+1

=4· ss²+1

Refine 4· ss²+1 : 4ss²+1

=4ss²+1

Solve instead

inverse laplace 4cos(x)

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

laplace transform 4cos(x)

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