This question is concerned with finding the solutions of the second order simultaneous equations
where a = 38, b = -9, c = 378, d = -79
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(i) |
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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)
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| Your Answer: |
-77(cos(4t))+ 67(cos(5t)) |
| Comment: |
The particular solution required in this part is x = " "
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(ii) |
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What is y as a function of t.
Omit the "y = "
(8 marks)
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| Your Answer: |
-462(cos(4t))+ 469(cos(5t)) |
| Comment: | The particular solution required in this part is y = " "
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(iii) |
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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) |
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| Your Answer: |
-15.36105271 |
| Comment: | x = -15.36105271
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(iv) |
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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) |
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| Your Answer: |
-155.2952131 |
| Comment: | y = -155.2952131
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