transformada de laplace e^xcos(x)

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

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log_□

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

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laplace transform e^xcos(x)

Solution

s−1(s−1)²+1

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Solution steps

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L{e^xcos(x)}

Apply transform rule: if L{f(t)}=F(s) then L{e^atf(t)}=F(s−a)

For e^xcos(x): f(x)=cos(x), a=1

=L{cos(x)}(s−1)

L{cos(x)}: ss²+1

=(s−1)(s−1)²+1

=s−1(s−1)²+1

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inverse laplace e^xcos(x)

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

transformada de laplace e^xcos(x)

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