2.

Solve the following homogeneous system

x_(1)'=x_(1)(-2+(3)/(2)cos^(2)(t))+x_(2)(4-(3)/(2)cos(t)sin(t)) x_(2)'=x_(1)(-2-(3)/(2)cos(t)sin(t))+x_(2)(-4+(3)/(2)sin^(2)(t))