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transformadora de laplace x^2e^{3x}

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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laplace transform x²e^3x

Solution

2(s−3)³

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L{e^3xx²}

Use Laplace Transform table: L{t^kf(t)}=(−1)^kd^kds^k (L{f(t)})

For x²e^3x: f(x)=e^3x, k=2

=(−1)²d²ds² (L{e^3x})

L{e^3x}: 1s−3

d²ds² (1s−3 )=2(s−3)³

=(−1)²2(s−3)³

=2(s−3)³

Solve instead

inverse laplace x²e^3x

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

transformadora de laplace x^2e^{3x}

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