Need help please for number 1, 5 , 7 , 8

5.2 Problems In Problems 1 through 16, apply the eigenvalue method of this section to find a general solution of the given system. If initial values are given, find also the corresponding particular solu- tion. For each problem, use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system. 1. x1 = x1 + 2x2, X2 = 2x1 + x2 2. x1 = 2x1 + 3x2, X2 = 2x1 + x2 3. x, = 3x1 + 4x2, X2 = 3x1 + 2x2; x1 (0) = x2(0) = 1 4. x1 = 4x1 + X2, X2 = 6x1 - X2 5. x, = 6x1 - 7x2, X2 = x1 -2x2 6. x1 = 9x1 + 5x2, X2 =-6x1 -2x2; x1 (0) = 1, x2(0) = 0 7. x, = -3x1 + 4x2, X7 = 6x1 - 5x2 8. x1 = x1 - 5x2, X2 = X1 - X2 9. x1 = 2x1 - 5x2, X7 = 4x1 - 2x2; x1 (0) = 2, x2(0) = 3 10. x, = -3x1 - 2x2, x7 = 9x1 + 3x2 11. x, = x1 - 2x2, X2 = 2x1 + x2; x1 (0) = 0, x2(0) = 4 12. x1 = x1 - 5x2, X2 = x1 + 3x2 13. x, = 5x1 - 9x2, X2 = 2x1 - X2 14. x1 = 3x1 - 4x2, x2 = 4x1 + 3x2 15. x1 = 7x1 - 5x2, X2 = 4x1 + 3x2 16. x, = -50x1 + 20x2, x2 = 100x1 - 60x2