A body of mass M is moving along a rough horizontal surface with velocity v. The body is being acted upon by a force 4M newtons in the direction of motion and a resistive force of magnitude kv. The displacement of the body from the origin at any time is denoted by x.
I) Form the differential equation which describes the motion of the body in terms of M,x,k and t.
ii)if M=6 and k=0.5. determine the general solution of the differential equation derived in (I) above.