Calculate the response described by the equations listed below, in which x is measured in feet and time is measured in seconds.
(a) 5ẍ + 10ẋ + 100x = 0, with x(0) = 0.1 and ẋ(0) = −0.1
(b) 3ẍ + 15ẋ + 12x = 0, with x(0) = 0 and ẋ(0) = 0.5
(c) ẍ + 10ẋ + 25x = 0, with x(0) = 0.15 and ẋ(0) = 0
(d) 25ẍ + 200ẋ + 1500x = 0, with x(0) = 0.01 and ẋ(0) = 0
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