8.3.27 Systems of Ordinary Differential Equations

Condition: Find the general solution of the system of differential equations: \ [\ left \ {\ begin {array} {l} \ dot {x} = 2 x+8 y \\ \ dot {y} = 2 x+2 y \\ \ dot {z} = 2 x+4 y+z. \ end {Array} \ Right. \]