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  Question 1: Score 0/0
This question is concerned with finding the solution of the first order simultaneous equations


where a = -2, b = 8, c = -24, d = 30
(i)
Find the particular solutions to the differential equations which satisfy the initial conditions
x = 16 and y = 3 at t = 0.
For this part of the question give x as a function of t.
Omit the "x = " (8 marks)
Your Answer: 45/2e^(6t)-13/2e^(22t)
Comment: The particular solution required is x = ""
(ii)
What is y as a function of t.
Omit the "y = "
(8 marks)
Your Answer: 45/2e^(6t)-39/2e^(22t)
Comment:The particular solution required is y = ""
(iii)
What is the value of x at t = 0.05?
Give your answer to AT LEAST TWO PLACES OF DECIMALS. Put in this value only ie. Omit the "x = " (2 marks)
Your Answer: 10.84474402
Comment: x = 10.84474402
(iv)
What is the value of y at t = 0.05?
Give your answer to AT LEAST TWO PLACES OF DECIMALS. Put in this value only ie. Omit the "y = " (2 marks)
Your Answer: -28.20941429
Comment: y = -28.20941429