Question

Consider the homogeneous linear system of ODEs
(S):Y(')=([3+(9)/(t)-(18)/(t²)-(12)/(t³),1-(6)/(t²),1+(3)/(t)-(6)/(t²)-(6)/(t³)],[3-(9)/(t)+(18)/(t²)+(12)/(t³),(6)/(t²),1-(3)/(