[20pts] Consider the 3rd order ODE  y”’-4y”=0  a) Write do…

Consider the 3rd order ODE  y”’-4y”=0  a) Write down the auxiliary equation and solve it (justify your answer) b) Find the general solution of the differential equation c)  Find the solution that satisfies the initial values  y(0)=2, y'(0)=1, y”(0)=8   Note: You must show all your work to deserve the full credit assigned to any question.