In Problems 1 through 6 you are given a homogeneous system of first- order linear differential equations and two vector-valued functions, x(1) and x(2)| a. Show that the given functions are solutions of the given system of differential equations. b. Show that x = c x() + c, x(2) is also a solution of the given system for any values of c, and c2. C. Show that the given functions form a fundamental set of solutions of the given system. d. Find the solution of the given system that satisfies the initial condition x(0) = (1, 2) ?. e. Find W [x(1); x(2)](). f. Show that the Wronskian, W = W x(1), x(2) , found in e is a solution of Abel's equation: W = (pu(t) + pzz(1) ) W.\f\f