For the following differential equations, first write down obtain the transfer function G(s) = Y(s)/F (s). Now, for each case, apply to as either unit step or an impulse function. (i) Use final value theorem to obtain the steady state; (ii) Plot dynamics using subplots a. 4y + y = f(t); y(0) = 0 b. + y = 2f(t); y(0) = 0; y(0) = 0 C. Y + 2y + y = f(t); y(0) = 0; y'(0) = 0) d. + y + y = f(t); y(0) = 0; y'(0) = 0 = =