Science:Math Exam Resources/Courses/MATH152/April 2013/Question B 06 (c)
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Question B 06 (c) |
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Consider the system of linear differential equations given by
Find the solution of the system of linear differential equations above with the initial condition |
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? |
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! |
Hint |
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To incorporate the initial value , the constants must be chosen such that (from part (b)):
holds for |
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.
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Solution |
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Using the solution from part (b),
we have for
Because the given intial values are , we write
This is
and and . Hence, the solution is
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