please solve this with in 1 hour

Problem 5 (20 points). Suppose that the linear state equation I is uniformly stable. Prove that the linear state equation *(t) = [A(t) + F(t)]=(t) is uniformly stable if there exists a finite constant 8 such that for all r IF(o), do s B Hint: Given continuous functions o(t) and v(t) defined for t > to with (t) 2 0for $ 2 to, and apine constant V, then the inequality vo)(o)do, t 2 to implies the inequality ((t)