8.3.35 Systems of Ordinary Differential Equations

Condition: Find the general solution of the system of differential equations: \ [\ left \ {\ begin {array} {l} \ dot {x} = 5 x+y+4 z \\ \ dot {y} =-16 x-3 y z \ \ dot {z} = z} = z} = z \ end {Array} \ Right. \]