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| 수학:1차_선형_상미분방정식 [2023/09/05 15:46] – external edit 127.0.0.1 | 수학:1차_선형_상미분방정식 [2024/05/23 20:03] – [동차] admin | ||
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| $$\int_0^xdx_1\int_0^{x_1}dx_2P(x_1)P(x_2) y_0 = \mathcal{T}\frac{1}{2}\left[\int_0^xdx' | $$\int_0^xdx_1\int_0^{x_1}dx_2P(x_1)P(x_2) y_0 = \mathcal{T}\frac{1}{2}\left[\int_0^xdx' | ||
| - | 를 얻을 수 있다. 보다 일반적인 경우를 증명하기 위해 $x_1< | + | 를 얻을 수 있다. |
| + | |||
| + | ====일반화==== | ||
| + | 보다 일반적인 경우를 증명하기 위해 $x_1< | ||
| $$\int_0^xdx_1\int_0^{x_1}dx_2\cdots\int_0^{x_n}dx_{n-1}P(x_1)P(x_2)\cdots P(x_n) y_0 = \mathcal{T}\frac{1}{n!}\left[\int_0^xdx' | $$\int_0^xdx_1\int_0^{x_1}dx_2\cdots\int_0^{x_n}dx_{n-1}P(x_1)P(x_2)\cdots P(x_n) y_0 = \mathcal{T}\frac{1}{n!}\left[\int_0^xdx' | ||