Using the Laplace Transform Table in the textbook and Laplace

Jean Blumer 2021-12-09 Answered
Using the Laplace Transform Table in the textbook and Laplace Transform Properties,find the (unilateral) Laplace Transforms of the following functions:
\(\displaystyle{u}{\left({t}\right)}-{u}{\left({t}-{1}\right)}\)

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alkaholikd9
Answered 2021-12-10 Author has 4367 answers
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Medicim6
Answered 2021-12-11 Author has 1769 answers
\(\displaystyle∵{L}{\left\lbrace{u}{\left({t}-{a}\right)}\right\rbrace}={\frac{{{1}}}{{{s}}}}{e}^{{-{a}{s}}}\)
\(\displaystyle\therefore{L}{\left\lbrace{u}{\left({t}\right)}-{u}{\left({t}-{1}\right)}\right\rbrace}={\frac{{{1}}}{{{s}}}}-{\frac{{{1}}}{{{s}}}}{e}^{{-{s}}}={\frac{{{1}-{e}^{{-{s}}}}}{{{s}}}}\)
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