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laplace transform e^{-x^2}

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laplace transform e^−x²

Solution

√π2 e^s²4erfc(s2 )

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L{e^−x²}

Use Laplace Transform table: L{e^−at²}=12 √π a e^s²4aerfc(s2√a )

L{e^−x²}=12 √π1 e^{s²4· 1}erfc(s2√1 )

=12 √π1 e^{s²4· 1}erfc(s2√1 )

=√π2 e^s²4erfc(s2 )

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

laplace transform e^{-x^2}

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