As a spring is heated, its spring "constant" decreases. Suppose the spring is heated so that the spring "constant" at time I is k(t) = 6 -t N/m. If the unforced mass-spring system has mass m = 2 kg k(1)=6-t and a damping constant b = 1 N-sec/m with initial conditions x(0) = 3 m and x'(0) =0 m/sec, then the displacement x(t) is governed by the initial value problem 2x"(t) + x'(t) + (6-1)x(t) = 0; x(0) = 3, I N-sec/m x'(0) = 0. Find the first four nonzero terms in a power series expansion about t = 0 for the displacement. 2 kg x(!) x(0)-3 x'(0)-0 x(1) =* xxx (Type an expression that includes all terms up to order 4.)