5) The spread of an epidemic disease can be described by a set of differential equations. The population under study is made up of three groups, x1 x2, and x3, such that the group x is susceptible to the epidemic disease, group x2 is infected with the disease, and group x3 has been removed from the initial population. The removal of x3 will be due to immunization, death, or isolation from x1. The feedback system can be represented by the following equations: dx1 di dx2 di dx3 di - -ax₁Bx2+u₁(t), Bx₁ 4x2 + 112(1), - = ax1 + xxz. a. Obtain state-space model (vector-matrix representation) of the system b. Obtain the state diagram of the system c. Obtain the block diagram of the system