% https://www.latex4technics.com/

% formulation
\documentclass{article}
\usepackage{amsmath}
\usepackage{bm}
\usepackage{graphicx}
\usepackage{geometry}
\geometry{top=0in, bottom=0in, left=0in, right=0in, paperheight=100in, paperwidth=100in}
\thispagestyle{empty}
\begin{document}
\scalebox{2}{\parbox{0.1\textwidth}{%
\begin{align*}
\min_{u_1(t),u_2(t)} \quad & \int_{0}^{1} \left[ 2 \xi_1^2 \xi_2^2 + \frac{1.25}{\xi_2^2} + \frac{u_2}{\xi_2} + u_1^2 + u_2^2 \right] dt \\
\text{subject to:} \quad & \dot{\bm{\xi}} = \begin{bmatrix}
\xi_1 + \frac{u_1}{\xi_2} + \xi_1 \xi_2 u_2 \\
-\xi_2 [0.5 + \xi_2 u_2]
\end{bmatrix} \\
& \bm{\xi}(0) = (1,1)
\end{align*}
}}
\end{document}

% solution