This question is concerned with finding the solution of the first order simultaneous equations
where a = -2, b = 8, c = -24, d = 30
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(i) |
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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)
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Your Answer: |
45/2e^(6t)-13/2e^(22t) |
Comment: |
The particular solution required 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: |
45/2e^(6t)-39/2e^(22t) |
Comment: | The particular solution required is y = ""
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(iii) |
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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) |
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Your Answer: |
10.84474402 |
Comment: | x = 10.84474402
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(iv) |
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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) |
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Your Answer: |
-28.20941429 |
Comment: | y = -28.20941429
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