Re: [問題] array
更完整的內文
\begin{flushleft}
\Large{Strauss PDE Exercises 1.2.}
\end{flushleft}
\\
\begin{flushleft}
\begin{itemize}
\item[{\large 1.2.8.}]
Let \left\{ \begin{array}{c} x' = ax + by &
y' = bx - ay \end{array} \right.
$\Rightarrow$ \left\{ \begin{array}{c}
u_{x} = au_{x'} + bu_{y'} &
u_{y} = bu_{x'} - au_{y'}
\end{array}
\right. .\\
Therefore,
\begin{align}
& \text{ }au_{x}+bu_{y}+cu = a^{2} u_{x'} + b^{2} u_{x'}+cu =0
\notag \\
\Leftrightarrow & \text{ }u_{x'} = \frac{-c}{a^{2}+b^{2}} u
\notag \\
\Leftrightarrow & \text{ }u = C_{1}(y') \exp \left(\frac{-c}{a^{2}+b^{2}} x'
\right) =:
f(bx-ay) \exp \left(\frac{-c(ax+by)}{a^{2}+b^{2}}
\right) . \notag
\end{align} \\
\end{itemize}
\end{flushleft}
\end{document}
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 122.117.200.15
→
03/31 09:01, , 1F
03/31 09:01, 1F
→
03/31 09:03, , 2F
03/31 09:03, 2F
討論串 (同標題文章)
LaTeX 近期熱門文章
PTT數位生活區 即時熱門文章
-4
30