Standard Laplace transform pairs (Q1673)
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Standard Laplace transform pairs |
No description defined |
Statements
\\mathcal{L}\\{1\\}=\\frac{1}{s},\\quad \\mathcal{L}\\{t^{n}\\}=\\frac{n!}{s^{n+1}},\\quad \\mathcal{L}\\{e^{at}\\}=\\frac{1}{s-a},\\quad \\mathcal{L}\\{\\cos\\omega t\\}=\\frac{s}{s^{2}+\\omega^{2}},\\quad \\mathcal{L}\\{\\sin\\omega t\\}=\\frac{\\omega}{s^{2}+\\omega^{2}}
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