laplace transform 12sin(x)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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laplace transform 12sin(x)

Solution

12s²+1

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Solution steps

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L{12sin(x)}

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

=12L{sin(x)}

L{sin(x)}: 1s²+1

=12· 1s²+1

Refine 12· 1s²+1 : 12s²+1

=12s²+1

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inverse laplace 12sin(x)

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

laplace transform 12sin(x)

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