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%%
%% Ein Beispiel der DANTE-Edition
%%
%%
%% Copyright (C) 2010 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
%%
\documentclass[]{exaarticle}
\pagestyle{empty}
\setlength\textwidth{166.324pt}
\setlength\parindent{0pt}
\StartShownPreambleCommands
\usepackage{pstricks-add}
\StopShownPreambleCommands
\begin{document}
\psset{xunit=.5,yunit=0.7,plotpoints=500,method=rk4}
\begin{pspicture}(0,-4.25)(24,5.25)
\psaxes[Dy=2,dx=2]{->}(0,0)(0,-4)(24,5)
\psplotDiffEqn[linewidth=1.5pt,linecolor=black!40,plotpoints=50]{0}{24}{5 0}%
{dup 3 1 roll -4 div exch 2 mul sub}
\psplotDiffEqn[linewidth=1.5pt,linecolor=black,algebraic]{0}{24}{5 0}%
{y[1]|-y[1]/4-2*y[0]}
\psplot[linestyle=dashed,linecolor=red]{0}{24}{% theoretische Lösung
Euler x -8 div exp x 127 sqrt 8 div mul RadtoDeg dup cos
5 mul exch sin 127 sqrt div 5 mul add mul}
\end{pspicture}
\end{document}
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