d'y dt² Write down the Laplace transform of the left-hand side of the equation given the initial conditions dt Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y. Write down the Laplace transform of the right-hand side of the equation Your answer should be a function of s only. +97y=3e¹ cos(8t), Y = Next equate your last two answers and solve for Y. You have Your answer should be a function of s only. y(0) = 8, (0) = 6 Finally take the inverse laplace transform of your third answer to obtain the solution of the given initial value problem y(t) =