please help me,..

(a)Find the general solution of the differential equation .
2 (d^2 x) / dt^2 + 5 dx/dt + 2x = 2t + 9
(b)Find the particular solution of this differential equation for which
x=3 and dx/dt = -1 when t = 0 .
The particular solution in part (b) is used to model the motion of a particular P on the x-axis. At time t seconds t>=0, P is x metres from the origin O.
(c)Show that the minimum distance between O and P is 1/2 (5+ln 2)m and justify that the distance is a minimum.