Write the corresponding differential equation in time domain. F(s) X(s) s³ + 11s² + 12s + 18 s+3 d²x(t) dt2 d²f(t) 3df(t) d³x(t) dt3 dx(t) + 18x(t) : dt + 11- + 12 dt dt d³x(t) + 11 dx(t) d?x(t) + 12 dt² dt d²f(t) _ 3f(t) + 18x(t) dt3 dt d³x(t) dt3 d²x(t) + 11 + 12 dt² dx(t) + 18x(t): dt df(t) - 3f (t) dt d³x(t) dt3 d?x(t) + 11 dt? dx(t) + 12 + 18x(t) dt df (t) + 3f(t) dt

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A: Please see the below picture for detailed solution.

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