[Tex/LaTex] Writing partial differential equation like u_t=u_xx

Question

I have a problem writing the heat equation in latex. I would like to write it by starting with \begin{equation} and ending with \end{equation}. I tried doing the following:

\begin{equation}
\{$u_t(x,t)=u_{xx}(x,t)$} wherex $\epsilon$ ${\rm I\!R}$\  and $t>0$  
\end{equation}

The answer I got was this:

LaTeX Warning: You have requested package `',
               but the package provides `esdiff'.

and

! Display math should end with $$.
<to be read again> 
                   u
l.51 \{$u
         _t(x,t)=u_{xx}(x,t)$$} where x $\epsilon$ ${\rm I\!R}$\  and $t>0$
? 

Does anyone know how to write the heat equation in latex and have the text on the same line?
David

Answer 1

Are you maybe looking for the following?

\documentclass{article}
\usepackage{amsmath}  % for \text macro
\usepackage{amssymb}  % for \mathbb macro
\begin{document}
\begin{equation}
\{ u_t(x,t)=u_{xx}(x,t)\}, \text{ where $\epsilon\in\mathbb{R}$ and $t>0$}
\end{equation}
\end{document}

Alternatively, might you be looking for the following?

\documentclass{article}
\usepackage{amsmath}  % for \text macro
\usepackage{amssymb}  % for \mathbb macro
\begin{document}
\begin{equation}
u_t(x,t)=u_{xx}(x,t), \text{ where $x\in\mathbb{R}$ and $t>0$}
\end{equation}
\end{document}