Answer
True
Work Step by Step
The initial value of $x$ is $2$ at $x(0)$ while the value of $y(0)$ is $6$ at $t=0$. From Definition 7.1.16, if all the auxiliary conditions are applied at same time $t_0$ then initial-value problem is formed.
Hence, the given first-order linear system is an initial-value problem because both of the auxiliary conditions have time $t=0$.
