---
title: "SU-MATH53 JAN292024"
source: https://www.jemoka.com/posts/kbhsu_math53_jan292024/
date: 2024-01-29
---

Review For Linear Constant-Coefficient Equation that are homogeneous, we can solve it generally in terms of some matrix \(A\) as:
\begin{equation} x&rsquo; = Ax \end{equation}
if \(A\) has enough eigenvectors, we can just write out \(y(t) = c_1 e^{\lambda_{1}t} v_1 + &hellip; + c_{n}e^{\lambda_{n}t} v_{2}\)
But, if we don&rsquo;t, we can use matrix exponentiation
Content eigensolutions
