transformation de laplace 4cos(x)

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

☐²

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√☐

^□√☐

□□

log_□

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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 4cos(x)

Solution

4ss²+1

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Solution steps

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L{4cos(x)}

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

=4L{cos(x)}

L{cos(x)}: ss²+1

=4· ss²+1

Refine 4· ss²+1 : 4ss²+1

=4ss²+1

Solve instead

inverse laplace 4cos(x)

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×▭▭	(	1	2	3	−	`x`
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transformation de laplace 4cos(x)

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