A 17 kg weight is attached to a spring with constant k = 68 kg/m and subjected to an external force F(t)=−1071sin⁡(5t)\displaystyle {F}{\left({t}\right)}=-{1071}{\sin{{\left({5}{t}\right)}}} . The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 2 m/s. Find its displacement for t > 0, with y(t)\displaystyle {y}{\left({t}\right)} measured positive upwards.

y(t)\displaystyle {y}{\left({t}\right)}  =  

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