The general solution of the homogeneous differential equation d2 d. 2y (2) - 6 y(x) +9y(x) = 0 da is given by 2h = AeM2 + Bremz where m= and A and B are arbitrary constants. Let us now find a particular solution to the non-homogeneous differential equation d2 d d229 () - 6-y(a) +9y(x) = 13 cos(2x). dz a) What form would you take as your guess for a particular solution? axsin 20 ba cos2x a sin 2x + b cos22 az sin 2x + bar cos2: bcos 23 a sin 2x b) Find a particular solution up and enter it (of the above form, evaluating a and/or b) in the box below. C) Let ug be the general solution to the non-homogeneous differential equation d2 d 5y() - 6 y(x) +9y() = 13 cos(2 ). )a. d. d22 Then O ug = n + up Ug = uh + Bup where B is any real number o ug = Aun + Bup where AB are any real numbers ugun - Up