Q.4 Determine the solution of the integro-differential equation y' (t) + e2(t-D)y(T) dr = 6(t - 1), y(0) =1 using the Laplace transform. a) Find an algebraic equation for the Laplace transform Y(s) = Cty(t) } of the solution of the IVP and solve for Y(s) to obtain an explicit expression. b) Determine the solution of the IVP y(t) = C {Y(s) } by applying its inverse Laplace transform