We can apply Laplace transform to an ODE in t with given initial values to form an algebraic equation in F(s) the Laplace transform of the solution. Then we solve the equation to get the Laplace transform of the solution. Finally, we apply the inverse Laplace transform to get the solution of the IVP. This question is on the first half of the process. The function f (t) satisfies the ODE d2 d t2 f ( t ) - 4 ( 2 f ( t ) ) + 5 f ( t ) = te 2t and the intial conditions f(0) = 2 , aJ (0) = 4. dt Enter the laplace transfrom F (s) of f (t) below in Maple syntax. Note: You do not need to simplify the expression for F(s) or resolve it to partial fractions. F (S