<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[a4paper,12pt]{article}
\newcommand\ds{\displaystyle}
\begin{document}

\parindent=0pt

QUESTION

Find an integrating factor for the differential equation
$\ds\frac{dx}{dt}+\frac{2x}{t}=t$. (Do NOT solve the equation).

\bigskip

ANSWER

Integrating factor $\ds =e^{\int\frac{2}{t}\,dt}=e^{2\ln t}=t^2$




\end{document}
</pre></body></html>