\documentclass{exam}[12pt]

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\begin{document}
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\firstpageheader{\large Calculus I}{\bf\Large Differential Equations}
{\large Name:\hspace{1in} }
%\extraheadheight{.7in}
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%\small{\textit{Work all questions completely.  Show all work.}}

\begin{questions}
\large{
\question Solve $x^2\, dy + \sec y \, dx = 0$. 
\vspace{2.5in}

\question Find the solution of $\displaystyle \frac{dy}{dx}=\frac{2}{3y}$
passing through $(0,1)$. 
\vspace{2.5in}

\question Find the solution of  $\displaystyle \frac{dy}{y^2+1}= 
\frac{dx}{\cot{x}}$. 
\vspace{1.5in}




}


\end{questions}

\end{document}