Q3 — Linear Systems

Q3

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For the second-order system given by the equation x''+2abx+a2x=a2hx+2abx+a2x=a2h , x(t) is displacement as a function of time, a and b are constants, and h(t) is a function given by

h(t)={0, t<01, t>0h(t)={0, t<01, t>0

For which of the following differential equations does the solution correspond to the natural, undamped response of the system?