Use Laplace transforms to solve the following initial value problem. x' + 6x' + 25x = 0; x(0) = 5, x'(0) = 7 Click the icon to view the table of Laplace transforms. Reference f (t) = 2 {F(s)} 2{f(t)} = F(s) x(t) = f (t ) = e-{F (s)} 2{f(t)} = F(s) S (Type an expression using t as the variable.) (s > 0) cos kt $2 + K 2 (s > 0) k (s > 0) sin kt $2 + K2 (s > 0) n! th S n+1 (s > 0) cosh kt S' 2 _12 (s > |KI) [(a + 1) ta k n+1 (S > 0) sinh kt $2 - 12 (s > |k[) e at n! (s > a) e atn s - a (s-a)+1 (s> a)