Chapter 9.2, Problem 7TFR

To determine

Whether the statement, “If $x_0\left(t\right)$ is a solution to the homogeneous vector differential equation $x^{\prime }\left(t\right)=A\left(t\right)x\left(t\right)$, then $x_0\left(t\right)+b\left(t\right)$ is a solution to the non homogeneous vector differential equation $x^{\prime }\left(t\right)=A\left(t\right)x\left(t\right)+b\left(t\right)$.” is true or false.