latentcorpse
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hi i wrote the following code. i think it's fairly easy to understand what I am trying to get it to print. but LaTeX really doesn't like it. any advice?
\documentclass[12pt]{report}
\usepackage{float}
\usepackage{multirow}
\usepackage{graphicx}
\usepackage{subfigure}
\usepackage{mathrsfs}
\begin{document}
\begin{subequations}
\begin{equation}
U(\theta,t)=\beta \ln{t} + \gamma + \nu(\theta,t) t^{-\frac{1}{2}}+\kappa(\theta,t)
\end{equation}
where $\beta$ and $\gamma$ are constants, $\nu$ is a bounded solution of the wave equation $\nu''=\ddot{\nu}$ and the remainder, $\kappa$, obeys
\begin{align*}
| \kappa(\theta,t) | &\leqslant C_7 t^{-\frac{3}{2}} \\
| \partial_t \kappa(\theta,t)| &\leqslant C_8 t^{-\frac{3}{2}}
\end{align*}
and
\begin{equation}
A(\theta,t)= \begin{cases}
\alpha + \beta^2 \ln{t} & \quad \text{ if $\nu(\theta,t)=0 \forall \theta,t$} \\
\delta t + \epsilon(\theta,t) & \quad \text{ if $\nu(\theta,t) \neq 0$ for some $\theta$ and $t$}
\end{cases}
\end{equation}
\end{subequations}
\end{document}
\documentclass[12pt]{report}
\usepackage{float}
\usepackage{multirow}
\usepackage{graphicx}
\usepackage{subfigure}
\usepackage{mathrsfs}
\begin{document}
\begin{subequations}
\begin{equation}
U(\theta,t)=\beta \ln{t} + \gamma + \nu(\theta,t) t^{-\frac{1}{2}}+\kappa(\theta,t)
\end{equation}
where $\beta$ and $\gamma$ are constants, $\nu$ is a bounded solution of the wave equation $\nu''=\ddot{\nu}$ and the remainder, $\kappa$, obeys
\begin{align*}
| \kappa(\theta,t) | &\leqslant C_7 t^{-\frac{3}{2}} \\
| \partial_t \kappa(\theta,t)| &\leqslant C_8 t^{-\frac{3}{2}}
\end{align*}
and
\begin{equation}
A(\theta,t)= \begin{cases}
\alpha + \beta^2 \ln{t} & \quad \text{ if $\nu(\theta,t)=0 \forall \theta,t$} \\
\delta t + \epsilon(\theta,t) & \quad \text{ if $\nu(\theta,t) \neq 0$ for some $\theta$ and $t$}
\end{cases}
\end{equation}
\end{subequations}
\end{document}