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| -rw-r--r-- | annexe/main.tex | 22 |
1 files changed, 18 insertions, 4 deletions
diff --git a/annexe/main.tex b/annexe/main.tex index 179ca97..bad3e6e 100644 --- a/annexe/main.tex +++ b/annexe/main.tex @@ -245,13 +245,27 @@ \end{gather*} Il est maintenant trivial d'isoler $A_2$: \begin{gather*} - \begin{array}{l@{\quad}cr@{}l} - & & -176.4708 & {}= \cancel{14.7059A_1} + 14.7059A_2 \\ - \text{\bfseries--} & & 6\exp{7} & {}= \cancel{14.7059 A_1} + 4'999'999.2941 A_2 \\ \cline{2-4} - & & 0 & {}= -x-5 + \begin{array}{l@{\quad}cr@{}ll} + & & -176.4708 & {}= \cancel{14.7059A_1} & + 14.7059A_2 \\ + \text{\bfseries--} & & 6\exp{7} & {}= \cancel{14.7059 A_1} & + 4'999'999.2941 A_2 \\ \cline{2-5} + \approx & & 6\exp{7} & {}= 0 & -4'999'999.2941 A_2 \end{array} \end{gather*} + \begin{gather*} + \begin{align} + A_2 & \approx -\frac{6\exp{7}}{5\exp{6}} = -12 \\ + -12 & = A_1 + A_2 \\ + A_1 & = 0 + \end{align} + \end{gather*} + La solution de la décharge est donc: + \begin{gather*} + \begin{align} + \vlt & = \cancel{0e^{(\al-\rootd)t}} -12 e^{-5\exp{6}t} \\ + \vlt & = -12 e^{-5\exp{6}t} + \end{align} + \end{gather*} \end{appendix} |