Commit ac7a2a3f authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 3ddf7d26
Pipeline #15072 canceled with stage
......@@ -409,8 +409,8 @@ L'une représente des proies et l'autre des prédateurs.
<br>
**$`\left.\begin{array}{l}
\forall t \in \mathbb{R}, \\
\left.\dfrac{dX_1^*}{dt}\right\vert_t=0 \\
\left.\dfrac{dX_2^*}{dt}\right\vert_t=0
\left.\dfrac{dX_1^*}{dt}\right\vert_{\,\bigt}=0 \\
\left.\dfrac{dX_2^*}{dt}\right\vert_{\,\bigt}=0
\end{array}\right\}
\Longrightarrow\;(X_1^*,X_2^*)`$** est **stationnaire**.
......@@ -437,17 +437,17 @@ L'une représente des proies et l'autre des prédateurs.
$`\Longrightarrow\left\{\begin{array}{l}
\forall t \in \mathbb{R}, \\
\left.\dfrac{dX_1^*}{dt}\right\vert_t=+C_1\,\dfrac{D_2}{C_2}-D_1\,\dfrac{D_2}{C_2}\dfrac{C_1}{D_1}\\
\left.\dfrac{dX_2^*}{dt}\right\vert_t=-D_2\,\dfrac{C_1}{D_1}+C_2\,\dfrac{D_2}{C_2}\dfrac{C_1}{D_1}
\left.\dfrac{dX_1^*}{dt}\right\vert_{\,\bigt}=+C_1\,\dfrac{D_2}{C_2}-D_1\,\dfrac{D_2}{C_2}\dfrac{C_1}{D_1}\\
\left.\dfrac{dX_2^*}{dt}\right\vert_{\,\bigt}=-D_2\,\dfrac{C_1}{D_1}+C_2\,\dfrac{D_2}{C_2}\dfrac{C_1}{D_1}
\end{array}\right.`$
**$`\mathbf{\Longrightarrow\left\{\begin{array}{l}
\forall t \in \mathbb{R}, \\
\left.\dfrac{dX_1^*}{dt}\right\vert_t=0\\
\left.\dfrac{dX_2^*}{dt}\right\vert_t=0
\left.\dfrac{dX_1^*}{dt}\right\vert_{\,\bigt}=0\\
\left.\dfrac{dX_2^*}{dt}\right\vert_{\,\bigt}=0
\end{array}\right.}`$**
*$`\mathbf{\Longrightarrow \left( X_1^*=\dfrac{D_2}{C_2},X_2^*=\dfrac{C_1}{D_1}\right)}`$* est *stationnaire*.
*$`\Longrightarrow \left( X_1^*=\dfrac{D_2}{C_2} , X_2^*=\dfrac{C_1}{D_1} \right)`$* est *stationnaire*.
<br>
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