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Update coin par coeur for equa diff

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flyingscorpio@arch-desktop 2021-09-19 12:09:35 +02:00
parent 7ffacb93cf
commit f49e419682
1 changed files with 2 additions and 4 deletions
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analyse/main.tex
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@ -149,11 +149,9 @@
\toprule \toprule
Type d'E.D. & Solutions & \\ Type d'E.D. & Solutions & \\
\toprule \toprule
$y' = ay$ & $\lambda e^{ax}$ & $a, \lambda \in \mathbb{R}$ \\ $ay' + by = 0$ & $\lambda e^{rx} \quad \text{ avec } r = \frac{-b}{a}$ & $a, b, \lambda \in \mathbb{R}$ \\
\midrule \midrule
$y' = ay + b$ & $-\frac{b}{a} + \lambda e^{ax}$ & $a, b, \lambda \in \mathbb{R}$ \\ $ay' + by = f(x)$ & $y_0 + \lambda e^{rx} \quad \text{ avec } r = \frac{-b}{a}$ & \makecell{$y_0$ solution particulière de $ay' + by = f(x)$ \\ $f$ une fonction et $a, b, \lambda \in \mathbb{R}$} \\
\midrule
$y' = ay + f$ & $y_0 + \lambda e^{ax}$ & \makecell{$y_0$ solution particulière de $y' = ay + f$ \\ $f$ une fonction et $a, \lambda \in \mathbb{R}$} \\
\bottomrule \bottomrule
\end{tabularx} \end{tabularx}