Section 3.1, Problem 8 with the following addition: Find the solution of the given initial-value problem assuming that the solutions u, v, z of the same system with the initial conditions (1,0,0)T , (1,1,0)T, (1,1,1)T, respectively, are known. .

In each of Exercises 6-9, write the given system of differential equations and initial values in the form x = Ax, X(to) =x. 6. x1 =3x1 - 7x2, x1(0) = 1 7. x1 =5x1 +5x2, x1(3)=0 *2= 4x1, X2(0) = 1 x2 = - x1+ 7x2 X2(3)= 6 8. x = X1+ X2-X3, x1 (0) = 0 9. x1 = - X3, X1(- 1)=2 X2=3x1 - X2 + 4x3, X2(0) = 1 X2= X1, X2( - 1)=3 X3 = - X1 - X2, X3(0)= -1 X3= - X2, X3(- 1)=4