(a) Consider the second order linear differential equation for the function y(t) given byy''-2y'-8y=0Write all the calculations needed to find the first order reduction given in our course of the differential equation above.(b) Write all the calculations needed to find the general solutionx(t)=[x1(t)x2(t)]of the first order system found in part (a).(c) Use the general solution x(t) found in part (b) to find the solution satisfying the initial conditionsx(0)=[14](d) Verify that the first component, x1(t), from the solution found in part (c) is also a solution of the second order differential equation in part (a).