plss answer the ff questions and show the solutions so that i can understand it and for me to correct my answers thank you

y" - 27y = f(t) ; y(0) = y' (0) = 1" (0) =0 with f (t ) = 5 The solution of this is y (t ) = { V + We(3t-15) + Xe(2- 3t cos Y (t - 5)]} . H (t - z) What is the numerical value of V? 1/27 10-1/9 2/27 31/3 2Question 4 1 / 1 pts Solve for the solution of differential equation using Laplace Transform. 1' - 5y' + 6y = 0; y (0) = 1/ (0) = 2 y (t) = Melt - 203 y(t) = 203 + 402 1 (t) = 202 - 4030 y (t) = 203t - 40#