Commit 14b1f99c authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent ff0e5995
Pipeline #15067 canceled with stage
......@@ -434,17 +434,20 @@ L'une représente des proies et l'autre des prédateurs.
X_1(t) = \dfrac{D_2}{C_2} =X_1\\
X_2(t) = \dfrac{C_1}{D_1} = X_2
\end{array}\right\}}`$**
$`\Longrightarrow\left\{\begin{array}{l}
\forall t \in \mathbb{R}, \\
\left.\dfrac{dX_1}{dt}\right\vert_t=+C_1\,\dfrac{D_2}{C_2}-D_1\,\dfrac{D_2}{C_2}\dfrac{C_1}{D_1}\\
\left.\dfrac{dX_1}{dt}\right\vert_t=-D_2\,\dfrac{C_1}{D_1}+C_2\,\dfrac{D_2}{C_2}\dfrac{C_1}{D_1}
\end{array}\right.`$
**$`\mathbf{\Longrightarrow\left\{\begin{array}{l}
\forall t \in \mathbb{R}, \\
\left.\dfrac{dX_1}{dt}\right\vert_t=0\\
\left.\dfrac{dX_1}{dt}\right\vert_t=0
\end{array}\right.}`$**
*$`\mathbf{\Longrightarrow} (X_1,X_2)`$* est *stationnaire*.
*$`\mathbf{\Longrightarrow} \Big(X_1=\dfrac{D_2}{C_2}\,,\, X_2=\dfrac{C_1}{D_1}\big)`$* est *stationnaire*.
<br>
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