\documentclass[12pt]{article}
\usepackage{latexsym}
\input psfig.sty
\usepackage{maple2e}
 \def\emptyline{\vspace{12pt}}
\DefineParaStyle{Maple Output}
\DefineParaStyle{Maple Plot}
\DefineCharStyle{2D Math}
\DefineCharStyle{2D Output}
\input spec_frac
\begin{document}
\title{Solutions, 316-XV}
\maketitle

\section{Problem 7.2.15}
Determine the transform
\[ {\cal L}\left\{ t^3 - t e^t + e^{4t} \cos{t} \right\} \]
{\bf Solution:}\\

\section{Problem 7.3.5}
Determine the transform
\[ {\cal L}\left\{ 2 t^2 e^{-t} - t  +  \cos{4t} \right\} \]
{\bf Solution:}\\
\newpage

\section{Problem 7.3.19}
Determine the transform
\[ {\cal L}\left\{ \cos{nt}\sin{mt}\right\}\ \ ,\ \ m \ne n  \]
{\bf Solution:} \\

\newpage

\section{Problem 7.3.25}
Use the formula
\[ {\cal L}\left\{ t^n f(t) \right\} = (-1)^n \frac{ d^n F(s)}{ds^n} (s) \ .\]
to help determine:
\begin{enumerate}
\item ${\cal L}\left\{t \cos{bt} \right\} $
\item ${\cal L}\left\{t^2 \cos{bt} \right\} $
\end{enumerate}
{\bf Solution:} \\

\newpage
\input laptab.tex
\end{document}

