Solve f. Thanks!

An air bubble has Iormed insnle a pneumatic pipe. A random Vibration causes the Dubbble to burst, sending an acoustic pulse through the pipe which is described by 3p 81!. K _ 0 a: + 083? and Ba 1 8p 5+55-0 where p is the uid pressure perturbation and u the perturbation velocity. p0 is the ambient density in the fluid and K0 is the bulk modulus of the air. 3.) Write the system of equations in matrix form. b.) Find the eigenvalues of the coefcient matrix. c.) Find the eienvector corresponding to each eigenvalue found above. d.) Transform the system of equations into characteristic form. e. Solve the systems of equations in characteristic form. f.) If the initial conditions to the physical problem are 1, if 1 S :r 5 2 0, otherwise p($at=0)={ 11(:I:,t = 0) = 0 Find the soluion to the problem in physical variables for t > 0. g.) Plot a wave diagram, e.g. an 3: - t diagram that shows the evolution of the pressure pulse in time. Note: the speed of sound, (:0 is dened as (:0 = '/K\"/pu