Question: As a spring is heated, its spring constant decreases. Suppose the spring is heated so that the spring constant of time I is k(!) =

As a spring is heated, its spring "constant"
As a spring is heated, its spring "constant" decreases. Suppose the spring is heated so that the spring "constant" of time I is k(!) = 6 -t Nite If the unforced mass-spring system bas mass in = 2 kg 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(!) is governed by the initial value problem 2"(1) + x'(1) # (6-0x(1 = 0: x(0) = 3 x'(0) = 0. Find the first four nonzero terms in a power series expansion about 1= 0 for the displacement (Type an expression that includes all terms up to order 4.) Time Remaining: 02:41:20 Submit test MacBook Air

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