Re: [理工] [工數]拉式轉換
※ 引述《dkcheng (電磁霸主)》之銘言:
: Find the inverse Laplace transform of the following function.
: 3
: s
: F(s) = ----------
: 4 4
: s + 4a
: 看到這樣的形式最後答案應該跟 sin cos有關,可是想不到要怎麼做
s^4+4a^4 = (s^2+2a^2)^2 - 4a^2s^2
= (s^2+2a^2+2as)(s^2+2a^2-2as)
= [(s+a)^2+a^2][(s-a)^2+a^2]
到這邊應該就差不多了
只是部分分式要費點力...
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