\documentclass[a4paper,12pt]{jarticle} 

\usepackage{bm}
\usepackage{amsmath} % bmatrix, pmatrix

\begin{document}

\begin{flushright}
{9 June 2011, $\mathcal{A.D.}$}
\end{flushright}

\begin{center}
{\large\gt \LaTeX $B$G?t<0(B}
\end{center}

$BHyJ,J}Dx<0(B

\begin{eqnarray}
\frac{dx}{dt}   & = &  - 3x \\
\frac{dx}{dt}  +2x  & = & 2t + 5 \\
x' + 2tx & = & 4t  \\
x' & = & \mathrm{e}^{-t^2} -2tx \\
x' + x & = &  \mathrm{e}^{-t} \\
x' - (\sin t) x  & = &  \sin (2t) \\
x' + x  & = &  x^2 \mathrm{e}^t \\
x' - tx   & = &  - x^3 \mathrm{e}^{-t^2}  \\
\tau \frac{dx}{dt} & = &   -x + 1 \\
\tau \frac{dx}{dt} & = &   -x + \cos t 
\end{eqnarray}

\vskip 5mm

\begin{eqnarray}
\int_1^{x} \frac{1}{x}dx   & = &  - 3 \int_0^t dt \\
\dot {\bm{x}} & = & A \bm{x} \\
\mathrm{e}^{A} & = & \sum_{k=0}^\infty \frac{A^k}{k!}
\end{eqnarray}

\begin{eqnarray}
\begin{pmatrix}
1 & 1 & 1 \\
2 & 1 & 2
\end{pmatrix}
\begin{pmatrix}
x \\
y \\
z
\end{pmatrix} 
& = &
\begin{pmatrix}
3 \\
2
\end{pmatrix}
\\
\begin{bmatrix}
1 & 1 & 1 \\
2 & 1 & 2
\end{bmatrix}
\begin{bmatrix}
x \\
y \\
z
\end{bmatrix} 
& = &
\begin{bmatrix}
3 \\
2
\end{bmatrix}
\\
A \bm{x}  & = & \bm{y}
\end{eqnarray}

\begin{eqnarray}
\left\{ \begin{array}{lcc}
\dfrac{dx_1}{dt} & = & x_2 \vspace*{5mm} \\
\dfrac{dx_2}{dt} & = & 2 x_1 + 3 x_2
\end{array}
\right.
\end{eqnarray}







$B@8BN>pJs%7%9%F%`(B


\begin{eqnarray}
c & = & {\displaystyle \mathop{\rm arg}_{i}} \mbox{min}
| m_i - x |
\label{eqn:eq1}
\end{eqnarray}

\begin{eqnarray}
m_i & := &  m_i + \alpha  \exp \Bigl \{ -\frac{ | c - i |^2}{2\sigma^2}
 \Bigr \} ( x - m_i)
\label{eqn:eq2}
\end{eqnarray}

$B<0HV9f$O(B
$B<0!J(B\ref{eqn:eq2}$B!K$H!$0zMQ$G$-$k!%(B

\begin{eqnarray}
\mathrm{sgn} (0) & = & - 1 
\end{eqnarray}



$B6gFIE@$OA43Q(B $B!V!%!W!$!V!$!W!%(B

\vskip 30mm

$B%l%]!<%H$N(B \LaTeX $B$r;H$C$?4JC1$J=q$-J}$O(B

{\small\tt http://www.cs.miyazaki-u.ac.jp/\textasciitilde date/lectures/latex/latexreport.html}

$B$r;2>H!%(B


\end{document}
