%% Created by Maple 7.00 (IBM INTEL LINUX)
%% Source Worksheet: Untitled (1)
%% Generated: Fri Oct 12 09:39:17 2001
\documentclass{article}
\usepackage{maple2e}
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\DefineParaStyle{Maple Output}
\DefineCharStyle{2D Math}
\DefineCharStyle{2D Output}
\begin{document}
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\begin{maplegroup}
You tell your technician to solve y'=x(x\symbol{94}2y+y\symbol{94}3)
on the computer and grpah the results for some initial values.

He or she comes back to you with the output below and says, with a
pannic stricken voice, "What does this mean? What should I do boss?" 

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{1d}{dsolve(\{diff(y(x),x)=x/(x^2*y(x)+y(x)^3),y(0)=2\},y(x));}{%
}
\end{mapleinput}

\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{y(x) = sqrt(-LambertW(-5*exp(-5)/exp(-1)*exp(-x^2-1))-x^2-1);}{%
\[
\mathrm{y}(x)=\sqrt{ - \mathrm{LambertW} \left(  \!  - 5\,
{\displaystyle \frac {e^{(-5)}\,e^{( - x^{2} - 1)}}{e^{(-1)}}} 
 \!  \right)  - x^{2} - 1}
\]
%
}
\end{maplelatex}

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\end{mapleinput}

\end{maplegroup}
\end{document}
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