Determine all equilibrium solutions (i.e., constant solutions that other solutions approach as $t \to \infty$) of the following nonhomogeneous linear system:

As $t \to \infty$, the equilibrium solution has the form

$\boldsymbol{\vec{y}} =$
 $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$
$+ \ c$
 $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$