%% 
%%  Ein Beispiel der DANTE-Edition
%%  
%%  2. Auflage
%% 
%%  Beispiel 15-03-2 auf Seite 751.
%% 
%%  Copyright (C) 2016 Herbert Voss
%% 
%%  It may be distributed and/or modified under the conditions
%%  of the LaTeX Project Public License, either version 1.3
%%  of this license or (at your option) any later version.
%% 
%%  See http://www.latex-project.org/lppl.txt for details.
%% 
%% 
%% ==== 
% Show page(s) 1
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%% 
\documentclass[]{exaarticle}
\pagestyle{empty}
\setlength\textwidth{217.16928pt}
\setlength\parindent{0pt}
%StartShownPreambleCommands
\usepackage{pstricks-add}
%StopShownPreambleCommands
\begin{document}
\psset{unit=5}
\begin{pspicture}(-0.04,-0.04)(1,1)
\psgrid[subgriddiv=5,
  subgridcolor=lightgray]
\psplotDiffEqn[whichabs=0,
  whichord=1,linecolor=red,
  method=rk4,algebraic,
  plotpoints=400,showpoints=true]%
   {0}{10}{0 0}%
   {cos(Pi*x^2/2)|sin(Pi*x^2/2)}
\end{pspicture}
\end{document}