Complex characteristic roots example: the harmonic oscillator y''+y=0 (Q1653)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex characteristic roots example: the harmonic oscillator y''+y=0 |
No description defined |
Statements
y''+y=0\\ \\Rightarrow\\ r^{2}+1=0\\ \\Rightarrow\\ r=\\pm i\\ \\Rightarrow\\ y=C_{1}\\cos x+C_{2}\\sin x
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