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拉普拉斯变换 15xcos(x)

Solution

−15(−s²+1)(s²+1)²

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L{15xcos(x)}

利用拉普拉斯变换的常数乘法特性:
对于函数 f(t) 和常数a: L{a·f(t)}=a·L{f(t)}

=15L{xcos(x)}

L{xcos(x)}: −−s²+1(s²+1)²

=15(−−s²+1(s²+1)² )

整理 15· (−−s²+1(s²+1)² ): −15(−s²+1)(s²+1)²

=−15(−s²+1)(s²+1)²

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

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