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laplace transform (1.001)^x

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laplace transform (1.001)^x

Solution

1s−ln(1.001)

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Solution steps

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L{(1.001)^x}

Rewrite 1.001^x: e^ln(1.001)x

=L{e^ln(1.001)x}

Use Laplace Transform table: L{e^at}=1s−a

L{e^ln(1.001)x}=1s−ln(1.001)

=1s−ln(1.001)

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inverse laplace (1.001)^x

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

laplace transform (1.001)^x

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