Process We want to represent a solution as xp+xn Get a particular solution Solve the Homogenous Systems Example f(x)={x+y+z=1z=3 We find a particular solution (0,−2,3) We solve the homogenous system, and we get span{(1,−1,0)} Thus, the solution is (0,−2,3)+span{(1,−1,0)}