Follow-up Comment #2, bug #624 (project tex4ht):

Hi Nasser, 

I would prefer use of a special environment, like this:

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% https://puszcza.gnu.org.ua/bugs/?624
\documentclass[12pt]{article}

\usepackage{amsmath}
\usepackage{longtable}
\usepackage{array}
\newcolumntype{C}{>{$}c<{$}}

\NewDocumentEnvironment{longmathtable}{m+b}{
  \begin{longtable}{#1}
    #2
  \end{longtable}
}{}
\ifdefined\HCode
\RenewDocumentEnvironment{longmathtable}{m+b}{
  \alteqtoks{\[\begin{array}{#1}
      #2
   \end{array}\]
  }
}{}
\fi


\begin{document}

\begin{longmathtable}{CCC}
& {} & \textrm{Let's solve}
\\
{} & {} & \left[y^{\prime}=1+2 x , y \left(0\right)=3\right]
\end{longmathtable}

\end{document} 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

I've defined a new column type, C, so you don't need to type all these ugly
preambles, and also so it works better with MathJax. The redefined environment
will print array in math mode. 

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