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authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/input/robidoux.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input robidoux.input}
+\author{Nicolas Robidoux}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+--Copyright The Numerical Algorithms Group Limited 1994.
+@
+<<*>>=
+<<license>>
+)clear all
+-- from the paper:
+-- Does Axiom Solve Systems of O.D.E.'s Like Mathematica?
+-- Nicolas Robidoux University of New Mexico 24 June 1993
+X1:=operator 'X1
+deq1:=D(X1 t,t)=(1+ cos t /(2+sin t)) * X1 t
+solve(deq1,X1,t)
+C1*%.basis.1
+function(%,'x1,'t)
+x1
+X2:=operator 'X2
+deq2:=D(X2 t,t)=x1 t - X2 t
+solve(deq2,X2,t)
+%.particular
+simplify %
+%+C2*%%(-3).basis.1
+function(%,'x2,'t)
+x2
+-- we can stop here because the answer is improved over the
+-- one given in the paper.
+x1 t
+
+
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}