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Doschennikov Nikita
2025-12-10 22:01:45 +03:00
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@@ -18,3 +18,9 @@
- Если $alpha plus.minus beta i$ не являются корнями характеристического уравнения, то #align(center)[$y_"частное" eq e^(alpha x) dot (P_N (x) dot cos beta x + Q_N (x) dot sin beta x).$]
- Если $alpha plus.minus beta i$ - корни характеристического уравнения, то #align(center)[$y_"частное" eq x dot e^(alpha x) dot (P_N (x) dot cos beta x + Q_N (x) dot sin beta x).$]
=== Метод Лагранжа (Метод вариации постоянных)
$
cases(C'_1 (x) y_1 plus C'_2 (x) y_2 eq 0, C'_1 (x) y'_1 plus C'_2 (x) y'_2 eq f(x))
$