laplace transform xsin(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 xsin(x)

Solution

2s(s²+1)²

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Solution steps

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L{xsin(x)}

Use Laplace Transform table: L{t^kf(t)}=(−1)^kd^kds^k (L{f(t)})

For xsin(x): f(x)=sin(x), k=1

=(−1)¹dds (L{sin(x)})

L{sin(x)}: 1s²+1

dds (1s²+1 )=−2s(s²+1)²

=(−1)¹(−2s(s²+1)² )

=2s(s²+1)²

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inverse laplace xsin(x)

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

laplace transform xsin(x)

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