Science:Math Exam Resources/Courses/MATH152/April 2012/Question 08 (c)/Statement

Consider the 2 x 2 system of differential equations

$\mathbf {x} '(t)={\begin{bmatrix}-1&-2\\2&-1\end{bmatrix}}\mathbf {x} (t)$

where $\mathbf {x} (t)={\begin{bmatrix}x_{1}(t)\\x_{2}(t)\end{bmatrix}}$ is the vector of unknown functions.

Based on the results in (a) and (b), write down the general solution in real-valued form.