8.3.34 Systems of Ordinary Differential Equations

Condition: Find the general solution of the system of differential equations: \ [\ left \ {\ begin {array} {l} \ dot {x} = 5 x-8 y+7 z \\ \ dot {y} = 2 x-3 y+2 z \\ \ dot {z} =-2 z З \ end {Array} \ Right. \]