%% This document created by Scientific Notebook (R) Version 3.0 \documentclass[12pt,thmsa]{article} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \usepackage{sw20jart} %TCIDATA{TCIstyle=article/art4.lat,jart,sw20jart} %TCIDATA{} %TCIDATA{Created=Mon Aug 19 14:52:24 1996} %TCIDATA{LastRevised=Sun Jun 13 00:58:59 1999} %TCIDATA{CSTFile=Lab Report.cst} %TCIDATA{PageSetup=72,72,72,72,0} %TCIDATA{AllPages= %F=36,\PARA{038
\hfill \thepage}
%}
\input{tcilatex}
\begin{document}
Use the method of separation of variables to show that the 1-D heat
conduction problem: find $u=u(x,y)$ so that
\begin{eqnarray*}
\frac{\partial u}{\partial t}(x,t)-\alpha \frac{\partial ^{2}u}{\partial
x^{2}}(x,t) &=&0,\;0