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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決
Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決 
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部分分式的算法如何算急~
Oct 16th 2013, 01:59

設 y(s)= 1 / [s(s+1)(s+5)] =A/s+B/(s+1)+C/(s+5)

1=A(s^2+6s+5)+B(s^2+5s)+C(s^2+s)
A+B+C=0....(1)
6A+5B+C=0....(2)
5A=1....(3)
由式 (3) 得 A=1/5
(2)-(1)
5A+4B=0 -->5(1/5)+4B=0 --> B= - (1/4)
(1/5)-(1/4)+C=0 --> C=1/20

y(s) = 1/5/s+-1/4/(s+1)+1/20/(s+5)

參考資料： Paul

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