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(5) Transform the following equations making linear approximations where necessary. Assume that the transforms refer to perturbations about the normal operating conditions and that the systems are initially at rest. Draw the signal flow diagram and find the transfer functions o(s)/0(s). (i) (ii) o(t) K/Of (t) de(t) = OF dt (iii) Tde(t) + 0(t) dc (iv) T2d2 0(t) of (t) + 0(0) Of(t) 1 d03(t) o(t) = 02(t)03(t); = f(t) - 03(t); 102(1) = 03(t) - 02(t) dt2 dt dt de