The solution of the differential equation \(f(t)\;+\;\ddot{f}(t)=0\) with initial conditions \(\dot{f}(0)=1\) and f(0) = 1, for t ≥ 0 is

1
-cos t + sin t
2
cos t - sin t
3
-cos t - sin t
4
cos t + sin t

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