请问如何部分分式展开
答案:1 悬赏:40 手机版
解决时间 2021-01-19 05:17
- 提问者网友：浮克旳回音
- 2021-01-18 18:27
请问如何部分分式展开
最佳答案
- 五星知识达人网友：雪起风沙痕
- 2021-01-18 19:55
1/[u^2.(u-2)] ≡ A/u + B/u^2 +C/(u-2)
=>
1 ≡ Au(u-2) + B(u-2) +Cu^2
u=0, => B =-1/2
u=2, =>C =1/4
coef. of u^2
A+C=0
A=-1/4
1/[u^2.(u-2)] ≡ (-1/4)[1/u] -(1/2)[1/u^2] +(1/4) [1/(u-2)]
=>
1 ≡ Au(u-2) + B(u-2) +Cu^2
u=0, => B =-1/2
u=2, =>C =1/4
coef. of u^2
A+C=0
A=-1/4
1/[u^2.(u-2)] ≡ (-1/4)[1/u] -(1/2)[1/u^2] +(1/4) [1/(u-2)]
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