Given the following differential equation, your tasks are: * = 2r +12 + 73 *2 = x1 + x2 + 2x3 *3 = 11+12 +-2.73 k y = [X X X3] X2 a. Put the differential equation into a state-space form,, i.e., re-write the equation into the form. Assume D =0. x = Ax + Bu y=Cx+ Du b. Is this dynamical system stable? Comment. c. Compute et by using the matrix exponential definition, i.e., computing the powers of A. d. Write the transfer function of the underlying linear system. Given the following differential equation, your tasks are: * = 2r +12 + 73 *2 = x1 + x2 + 2x3 *3 = 11+12 +-2.73 k y = [X X X3] X2 a. Put the differential equation into a state-space form,, i.e., re-write the equation into the form. Assume D =0. x = Ax + Bu y=Cx+ Du b. Is this dynamical system stable? Comment. c. Compute et by using the matrix exponential definition, i.e., computing the powers of A. d. Write the transfer function of the underlying linear system.