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

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≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
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laplace ngược x³−5(x−3)²

Solution

δ′(t)+6δ(t)+27e^3t+e^3t· 22t

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L⁻¹{x³−5(x−3)² }

Lấy một phần của x³−5(x−3)² : x+6+27x−3 +22(x−3)²

=L⁻¹{x+6+27x−3 +22(x−3)² }

Sử dụng thuộc tính tuyến tính của Biến đổi Nghịch đảo Laplace:
Đối với các hàm f(s), g(s) và các hằng số a, b: L⁻¹{a·f(s)+b·g(s)}=a·L⁻¹{f(s)}+b·L⁻¹{g(s)}

=L⁻¹{x}+L⁻¹{6}+L⁻¹{27x−3 }+L⁻¹{22(x−3)² }

L⁻¹{x}: δ′ (t)

L⁻¹{6}: 6δ(t)

L⁻¹{27x−3 }: 27e^3t

L⁻¹{22(x−3)² }: e^3t· 22t

=δ′ (t)+6δ(t)+27e^3t+e^3t· 22t

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1	2	1
6	−1	0
−1	−2	−1

) hoặc chọn bên dưới

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

Probability Problems Calculator- Free Online Calculator With Steps & Examples

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