😀4.3 單位步階函數與第二平移定理

單位步階函數

Heaviside Function(t-2) - Wolfram|AlphaWolfram_Alpha

例1

1-Heaviside Function(t-2) - Wolfram|AlphaWolfram_Alpha

分段定義函數

https://www.wolframalpha.com/input?i=piecewise+%5B%7B%7B2%2C0%3C%3Dt%3C2%7D%2C%7B-1%2C2%3C%3Dt%3C3%7D%2C%7B0%2Ct%3E%3D3%7D%7D%5Dwww.wolframalpha.com

例5 的線上計算

laplace transform calculator - Wolfram|AlphaWolfram_Alpha

例6 的線上計算

laplace transform calculator - Wolfram|AlphaWolfram_Alpha

例7 的線上計算

laplace transform calculator - Wolfram|AlphaWolfram_Alpha

例8

inverse laplace transform calculator - Wolfram|AlphaWolfram_Alpha

例9 線上計算

https://www.wolframalpha.com/input?i=y%27%2By+%3D+piecewise+%5B%7B%7B0%2C0%3C%3Dt%3C0%7D%2C%7B5%2Ct%3E1%7D%7D%5D+%2Cy%280%29%3D0www.wolframalpha.com