laplace transform 2sin(5x)

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laplace transform 2sin(5x)

Solution

10s²+25

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Solution steps

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L{2sin(5x)}

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

=2L{sin(5x)}

L{sin(5x)}: 5s²+25

=2· 5s²+25

Refine 2· 5s²+25 : 10s²+25

=10s²+25

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inverse laplace 2sin(5x)

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

laplace transform 2sin(5x)

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