Real general solution for complex-conjugate characteristic roots (Q1645): Difference between revisions
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| Property / instance of: mathematical expression / rank | |||
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| Property / LaTeX source: r=\\alpha\\pm i\\beta\\ \\Rightarrow\\ y=e^{\\alpha x}\\bigl(C_{1}\\cos\\beta x+C_{2}\\sin\\beta x\\bigr) / rank | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
Normal rank | |||
| Property / LaTeX source | |||
r=\\alpha\\pm i\\beta\\ \\Rightarrow\\ y=e^{\\alpha x}\\bigl(C_{1}\\cos\\beta x+C_{2}\\sin\\beta x\\bigr) | |||
| Property / LaTeX source: r=\\alpha\\pm i\\beta\\ \\Rightarrow\\ y=e^{\\alpha x}\\bigl(C_{1}\\cos\\beta x+C_{2}\\sin\\beta x\\bigr) / rank | |||
Normal rank | |||
Latest revision as of 19:39, 3 September 2026
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Real general solution for complex-conjugate characteristic roots |
No description defined |
Statements
r=\\alpha\\pm i\\beta\\ \\Rightarrow\\ y=e^{\\alpha x}\\bigl(C_{1}\\cos\\beta x+C_{2}\\sin\\beta x\\bigr)
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