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flyingscorpio@arch-desktop 2021-09-20 10:39:23 +02:00
parent 67ad5ad697
commit 08144275ed
1 changed files with 2 additions and 2 deletions
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analyse/main.tex
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@ -151,7 +151,7 @@
\toprule
\multicolumn{2}{l}{$ay' + by = 0$} & $\lambda e^{rx} \quad \text{ avec } r = \frac{-b}{a}$ & $a, b, \lambda\in\mathbb{R}$ \\
\midrule
\multicolumn{2}{l}{$ay' + by = f(x)$} & $y_0 + \lambda e^{rx} \quad \text{ avec } r = \frac{-b}{a}$ & \makecell{$y_0$ solution particulière de $ay' + by = f(x)$ \\ $f$ une fonction et $a, b, \lambda\in\mathbb{R}$} \\
\multicolumn{2}{l}{$ay' + by = f(x)$} & $y_0 + \lambda e^{rx} \quad \text{ avec } r = \frac{-b}{a}$ & \makecell{$y_0$ solution particulière de \\ $ay' + by = f(x)$ \\ $f$ une fonction et $a, b, \lambda\in\mathbb{R}$} \\
\midrule
\multirow{3}{*}{$ay'' + by' + cy = 0$} & $\Delta > 0$ & $\lambda e^{r_1 x} + \mu e^{r_2 x} + y_1$ & \multirow{3}{*}{$\lambda, \mu \in \mathbb{R}$, $y_1$ solution particulière} \\
\cline{2-3}
@ -458,7 +458,7 @@
\left\{
\begin{array}{l}
\alpha = \frac{-b}{2a} \\\\
\beta = \frac{i\sqrt{|\Delta|}}{2a}\\
\beta = \left|\frac{\sqrt{|\Delta|}}{2a}\right| \\
\end{array}
\right.
\end{align*}