请问如何部分分式展开

2025-01-08 09:43:21
推荐回答(1个)
回答1:

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)]