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integral of 3xcos(x)

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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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線形 y^′+2y=12sin(2t), y(0)=5

Solution

y=3(sin(2t)−cos(2t))+8e^2t

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L{e^x(−x+1)}

変換ルールを適用: L{f(t)}=F(s) ならば L{e^atf(t)}=F(s−a)

(1−x)e^x向け : f(x)=(1−x), a=1

=L{(1−x)}(s−1)

L{(1−x)}: 1s −1s²

=1(s−1) −1(s−1)²

=1s−1 −1(s−1)²

簡素化 1s−1 −1(s−1)² : s−2(s−1)²

=s−2(s−1)²

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こんにちは, について質問する線形 y^′+2y=12sin(2t),y(0)=5 または以下を選択してください

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

integral of 3xcos(x)

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