factor 2x^2+4x-6

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

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ddx

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

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逆ラプラス x−35x−15

Solution

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0.2

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Solution steps

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L⁻¹{x−35x−15 }

拡張

=L⁻¹{x5x−15 −35x−15 }

逆ラプラス変換の線形性を使用する:
関数 f(s), g(s) と定数 a, b: L⁻¹{a·f(s)+b·g(s)}=a·L⁻¹{f(s)}+b·L⁻¹{g(s)}

=L⁻¹{x5x−15 }−3L⁻¹{15x−15 }

L⁻¹{x5x−15 }: 35 e^3t+15

L⁻¹{15x−15 }: 15 e^3t

=35 e^3t+15 −3· 15 e^3t

改良 35 e^3t+15 −3· 15 e^3t: 15

=15

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

factor 2x^2+4x-6

Solution

Solution steps

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