Please solve these questions

Question 1 For a given system presented by following equations: 0 -2 x *= [2 23]+ [1]e-3 ] x(0) = y = [21] Find: a) Present the time response of this state space y(t) by Laplace method Question 2 For a given system presented by following equations: 0 * = (-2 _2 23]x+ [4]e-2 x(0) = [2] 0 = y = [21] Find: a) Present the time response of this state space y(t) by Convolution Integral method Question 3 For a given system presented by following equations: i 1 -5 -3t x -4 = (^4 +5]x+ [ [S] *(0) = [1] y = [31] Find: a) State Transition Matrix Question 4 For a given system presented by following equations: = + -2t 5 - * = 1; 2)x+[]e- 22 3 x(0) = 621 y = [4 6] Find: a) State Transition Matrix