linear ordinary differential equation

The following problem is a linear ordinary differential equation:

Let $A:I\to {ℂ}^{n\times n}$ be a known matrix. Finda matrix $x:I\to {ℂ}^{n\times n}$(or vector $x:I\to {ℂ}^n$) such that

$x^{\prime }$$=$$Ax,$

$x(0)$$=$$x_0,$

where $x_0$ is a known initial value.