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\documentclass{article}
\usepackage{remreset}
\usepackage{chngcntr}
\begin{document}
\counterwithin{equation}{section}
\section{One}
\begin{equation} a=b+c\end{equation}
\counterwithout{equation}{section}
\section{Two}
\begin{equation} a=b+c\end{equation}
\counterwithin{equation}{section}
\section{Three}
\begin{equation} a=b+c\end{equation}
\counterwithout*{equation}{section}
\section{Four}
\begin{equation} a=b+c\end{equation}
\counterwithin*{equation}{section}
\section{Five}
\begin{equation} a=b+c\end{equation}
\makeatletter
\@removefromreset{equation}{section}
\makeatother
\section{Six}
\begin{equation} a=b+c\end{equation}
\end{document}
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