4. Solutions to nonhomogenous equations (a) Find the general solution to x' 4x I = 0. ' . ' x]! =2.i:l +x2 +I (b) Flnd the general solution to the equations: i x2 =2xz+l The procedure is the same as that outlined for part (a) in class. To solve this equation first show that e\" = 4 0' 32! Then compute the integral 176) = I; e'm'(t')dr'+ C and show that it is given by 32: 3 82: 2t +c, 4 2 8 f(f}= Next, nd so) = emfa) and nally, check your answer by substituting it into the initial equations. (e) For your answer in (b) identify the general solution to the homogeneous equation and the particular solution to the COupled nonhomogeneous equations. Show that the particular solution is a solution to the coupled differential equations