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flyingscorpio@arch-desktop 2021-09-27 09:03:03 +02:00
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commit dbc7aa97e3
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analyse/exercices/main.tex
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@ -383,7 +383,7 @@
\item Solution particulière \item Solution particulière
second membre~: $e^{\alpha x}\cos{x}$ avec $\alpha = 0$ $\implies \alpha$ non racine de l'équation caractéristique. second membre~: $e^{\alpha x}(P_0(x)\cos{\beta x} + 0 \times \sin{\beta x})$ avec $\alpha = 0, \beta = 1, P_0 = 1$ $\implies \alpha + i\beta$ racine de l'équation caractéristique.
\begin{align*} \begin{align*}
y_1 &= xe^{\alpha x}(a\cos{\beta x} + b\sin{\beta x}) \\ y_1 &= xe^{\alpha x}(a\cos{\beta x} + b\sin{\beta x}) \\
&= x(a\cos{x} + b\sin{x}) \\ &= x(a\cos{x} + b\sin{x}) \\