4. Write the initial value problem in matrix form X' = AX + f(t), X (to) = and then find the largest interval centered at to =0 where the initial value problem will have an unique solution. '(t) = 3x + 2y - 2+t?, (to) = 3 yt) 2-2y - z+ vt +4, y(to) = 3 z't) 3x + 2y - 2+3, z(to) = 3