Determine the transfer function C(s) for the block diagram shown in Fig.5 by R(s) First drawing its signal flow graph and then using the Mason's gain formula. (10 M) G4 G5 C(s) + R(s) G1 G2 G3 H H1 Fig.5 Problem 3: A two-degree-of-freedom mechanical system is described by the following two differential equations: *+3x1-2x2 + 6x1 - 6x2 = 0 4*2-2x1 +3x2 - 6x + 6x2 = F Assuming that the state variables are given by q = x1, 92 = x1, 93 = x2, 94 = x2, the input is F, and the output is x2, write down the state and output equations for this system.