\batchmode
\documentstyle[11pt]{article}
\makeatletter

\setlength{\textwidth}{6.5in}
\setlength{\oddsidemargin}{0in}
\setlength{\topmargin}{-.2in}
\setlength{\textheight}{9.5in}
\setlength{\headheight}{0in}
\setlength{\headsep}{0in}
\setlength{\parindent}{0pt}
\setlength{\parskip}{5pt}


\makeatother
\newenvironment{tex2html_wrap}{}{}
\newwrite\lthtmlwrite
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
\newbox\sizebox
\begin{document}
\pagestyle{empty}
{\newpage
\clearpage
\samepage \begin{displaymath}y'(t)=g(y/t) \hspace{.2in} y(t_0)=y_0
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}y'(t)=tv'(t)+v(t)=g(y/t)=g(v)
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}v'(t)=(g(v)-v)/t \hspace{.2in} (*)
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}y'=1+y/t+(y/t)^2
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}g(s)=1+s+s^2.
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}v+tv'=1+v+v^2
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}v'=(1+v^2)/t
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\int\frac{dv}{v^2+1}=\int\frac{dt}{t}+C  
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}arctan(v)=\log|t|+C
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}v(t)={\rm arctan}(\log|t|+C).
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}y(t)=t{\rm arctan}(\log|t|+C).
\end{displaymath}
}

\stepcounter{section}

\end{document}
