Basic template I use for LaTeX documents

LaTeX template

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\begin{document}

\title{Title  \\ Line 1 \\ Differential Equations \\ Modelling a Pendulum}
\author{Spartacus}
\maketitle
\tableofcontents
\section{Introduction}
In this report I will work through the process of modelling the action of a pendulum using differential equations.

\section{Analysis}
The pendulum is drawn in figure \ref{pendulum}. Our end goal is to find the period of the pendulum. To do this, we must determine the sum of the forces acting on the pendulum.
\begin{figure}[ht!]
\centering
\includegraphics[width=0.5\textwidth]{Pendulum_gravity.png}
\caption{The forces acting on the pendulum \citep{wiki:pendulum_maths} \label{pendulum}}
\end{figure}

Adding up the forces gives us the second order  differential equation:
\begin{align}
m l \frac{d^2\theta}{dt^2} + 10 \frac{d\theta}{dt} - mg\sin(\theta) = 0
\end{align}
We can simplify this since $sin(\theta) \approx \theta$ for small $\theta$ to get the linear ODE
\begin{align}
m l \frac{d^2\theta}{dt^2} + 10 \frac{d\theta}{dt} - mg\theta = 0
\end{align}



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