\batchmode
%
\documentclass[12pt,letterpaper,oneside,onecolumn]{article}
\makeatletter
\usepackage[]{fontenc}
\usepackage[dvips]{epsfig}


\makeatletter












\makeatother


\pagestyle{plain}
\setcounter{secnumdepth}{3}
\setcounter{tocdepth}{3}

\def\LyX{L\kern-.1667em\lower.25em\hbox{Y}\kern-.125emX\spacefactor1000}

\newcommand {\lyxtitle}[1] {\thispagestyle{empty}
\global\@topnum\z@
\section*{\LARGE \centering \sffamily \bfseries \protect#1 }
}

\newcommand {\lyxline}[1]{
{#1 \vspace{1ex} \hrule width \columnwidth \vspace{1ex}}
}

\newenvironment {lyxbibliography}
{
\begin{thebibliography}{99}}
{\end{thebibliography}}

\def\lxq{"}

\newenvironment {lyxcode}
{\list{}{
\rightmargin\leftmargin
\raggedright
\itemsep 0pt
\parsep 0pt
\ttfamily
}\item[]
}
{\endlist}

\newcommand {\lyxlabel}[1]{#1 \hfill}

\newenvironment {lyxlist}[1]
{\begin{list}{}
{\settowidth{\labelwidth}{#1}
\setlength{\leftmargin}{\labelwidth}
\addtolength{\leftmargin}{\labelsep}
\renewcommand  {\makelabel}{\lyxlabel}}}
{\end{list}}

\newcommand {\lyxletterstyle}{
\setlength\parskip{0.7em}
\setlength\parindent{0pt}
}

\newcommand {\lyxaddress}[1]{
\par {\raggedright #1 
\vspace{1.4em}
\noindent\par}
}

\newcommand {\lyxrightaddress}[1]{
\par {\raggedleft \begin{tabular}{l}\ignorespaces
#1
\end{tabular}
\vspace{1.4em}
\par}
}

\newcommand {\lyxformula}[1]{
\begin{eqnarray*}
#1
\end{eqnarray*}
}

\newcommand {\lyxnumberedformula}[1]{
\begin{eqnarray}
#1
\end{eqnarray}
}

\makeatother
\newenvironment{tex2html_wrap}{}{}
\newwrite\lthtmlwrite
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
\newbox\sizebox
\begin{document}
\pagestyle{empty}
\setcounter{secnumdepth}{3}
\setcounter{tocdepth}{3}
{\newpage
\clearpage
\samepage \( \phi =0 \)
}

{\newpage
\clearpage
\samepage \( \phi =V(x,y) \)
}

{\newpage
\clearpage
\samepage \( \phi =F(x)G(y)H(z) \)
}

{\newpage
\clearpage
\samepage \( \frac{1}{F}F_{xx}+\frac{1}{G}G_{yy}+\frac{1}{H}H_{yy}=0 \)
}

{\newpage
\clearpage
\samepage \( F(x)\propto e^{\pm i\alpha x} \)
}

{\newpage
\clearpage
\samepage \( G(y)\propto e^{\pm i\beta y} \)
}

{\newpage
\clearpage
\samepage \( H(z)\propto e^{\pm \gamma z} \)
}

{\newpage
\clearpage
\samepage \( \alpha _{n}=n\frac{\pi }{a} \)
}

{\newpage
\clearpage
\samepage \( \beta _{m}=m\frac{\pi }{a} \)
}

{\newpage
\clearpage
\samepage \( \phi =\sum _{n,m}A_{nm}sin(\alpha _{n}x)sin(\beta _{m}y)sinh(\gamma _{nm}z) \)
}

{\newpage
\clearpage
\samepage \( A_{nm}=\frac{4}{absinh(\gamma _{mn}c)}\int _{0}^{a}dx*sin(\alpha _{n}x)\int _{0}^{b}dy*sin(\beta _{n}y)V(x,y) \)
}


\end{document}
