Problem F.1 (7.5 points): Use any method to find the GS: 2 1 (x - a ) 23 (x - a) 3 where x > a, a constant. Problem F.2 (7.5 points): Use LT (4 pts) and a non-LT method (3.5 pts) to find PS (No need to evaluate convolutions): "" +y" ty'ty = e-*+ cosx + sin x y (0) = y'(0) = y"(0) =0 Problem F.3 (7.5 points): Use any method to find the GS: (tx' = 2x - y + (1 -t2) (ty' = 3x - 2y + (2t) Problem F.4 (7.5 points): Use LT method (4 pts) and a non-LT method (3.5 pts) to find PS: -x ty+z = e2t x- y' tz = e2t xty- z' = e2t (x(0) = y(0) = z(0) = 0