Laplace Transform II

2010-12-06 7:40 pm
請問這個點做呢.....::

圖片參考:http://img84.imageshack.us/img84/5746/memlaplace.png

回答 (1)

2010-12-06 10:56 pm
✔ 最佳答案
QUESTION1

L(cos2t)=s/(s^2+4)

L(tcos2t)
=-d/dt [s/(s^2+4)]
=-[(s^2+4)-s(2s)]/(s^2+4)^2
=(s^2-4)/(s^2+4)^2

QUESTION 2

L(sin3t)=3/(s^2+9)

L(tsin3t)
=-d/dt [3/(s^2+9)]
=-[-3(2s)]/(s^2+9)^2
=6s/(s^2+9)^2

L(t^2sin3t)
=-d/dt [6s/(s^2+9)^2]
=-[6(s^2+9)^2-12s(s^2+9)(2s)]/(s^2+9)^4
=-[6(s^2+9)-24s^2)]/(s^2+9)^3
=(18s^2-54)/(s^2+9)^3



收錄日期: 2021-04-26 14:01:13
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20101206000051KK00397

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