Please solve these... especially b,c

2. (20 pts] Solve the following differential equations using the Laplace transform. Note: You are allowed to use the table from this point on. (a) (7 pts) dy dy = +2 +2t, y(0) = 4, 7(0) = -2 + dt2 dt (b) (7 pts) + 6 dy +9y = cos t, y(0) = 1, y'(0) = 2 dt dt2 dy (c) (6 pts] dy +y=1, y(0) = 0, y(0) = 0, y"(0) = 0 dt 1+ 3 dy +3 dt3 +3 dt2 =