Obtain the external force F(t)(t ≥ 0) given in the single-degree-of-freedom system above

Obtain the external force F(t)(t ≥ 0) given in the single-degree-of-freedom system above when the observed responses x(t) are

(1) e−αt (t ≥ 0) (4.91)

(2) αt · e−αt (t ≥ 0)

(3) e−(αt)2

(t ≥ 0)

(4) (αt)

2

e−(αt)2

(t ≥ 0).


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