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Question 2 Given the following system: x' + 5x - 3y = et y' + 3x - y = 0 with initial conditions: x(0) = 1, y(0) = 0 (a) Rewrite

the system in matrix form. (b) (4 marks) Use Duhamel's Principle to solve the system of linear differential equations in part (a). (18 marks)

Fig: 1