Standard Laplace transform pairs (Q1673): Difference between revisions
Jump to navigation
Jump to search
Add content item |
Add content item |
||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
| Property / LaTeX source | |||
| Property / LaTeX source: \\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}} / rank | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
Normal rank | |||
| Property / LaTeX source | |||
\\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}} | |||
| Property / LaTeX source: \\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}} / rank | |||
Normal rank | |||
Latest revision as of 07:28, 4 September 2026
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}}
0 references