(1 point) Use the Laplace transform to solve the following initial value problem: y' + 12y + 52y = 6(t - 8) y(0) = 0, y' (0) = 0 y(t) =...

Please help me with this problem. Show all work and please show all legible work. Will up vote if answer is correct. Thanks for the help

(1 point) Use the Laplace transform to solve the following initial value problem:y"' + 12y + 52y = 6(t - 8)y(0) = 0, y' (0) = 0y(t)=(Notation: write u(t-c) for the Heaviside step function uc (() with step at t = c.)