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

where a = 38, b = -9, c = 378, d = -79
(i)
 Find the particular solutions to the differential equations which satisfy the initial conditions x = -10 and y = 7 at t = 0 together with the condition at t = 0.. For this part of the question give x as a function of t. Omit the "x = " (8 marks)
 Your Answer: -77(cos(4t))+ 67(cos(5t)) Comment: The particular solution required in this part is x = ""
(ii)
 What is y as a function of t. Omit the "y = " (8 marks)
 Your Answer: -462(cos(4t))+ 469(cos(5t)) Comment: The particular solution required in this part is y = ""
(iii)
 What is the value of x at t = 0.56? Give your answer to AT LEAST TWO PLACES OF DECIMALS. Put in this value only ie. Omit the "x = " (2 marks)
 Your Answer: -15.36105271 Comment: x = -15.36105271
(iv)
 What is the value of y at t = 0.56? Give your answer to AT LEAST TWO PLACES OF DECIMALS. Put in this value only ie. Omit the "y = " (2 marks)
 Your Answer: -155.2952131 Comment: y = -155.2952131