Use the Laplace Trans form to solve the following initial valued problem: ddftgt) 2dS)+(1O+S2+83+84)f(t) : \"(tl where f(0) = 2 + 85 and f'(0) = 4 + 85, where u(t) denotes the unit step function. Show the values of 81828384858687 at the beginning of the answer. Show your working. [15 marks]