2. Consider the initial value problem 2y" + 67 4 9y - 0. y(0) =1, 1(0) 0 a) Find a solution for the initial value problem. (b) State and show why the initial value problem is over damped, under damped or critically damped. (c) Write the solution in the form Rel cos(ut = 0) d) State the largest interval over which the solution exists. e) Plot the solution in a plotting window that illustrates the important features of the solution. What are the quasi-amplitude, quasi-period. phase angle, and the right shift of the solution