Science:Math Exam Resources/Courses/MATH152/April 2017/Question B 04 (a)
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Question B 04 (a) 

A model of love affairs is described by the following system of differential equations where and are, respectively, Romeo’s and Juliet’s amount of love for each other at time . (a) Express the system in matrix form , where . 
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! 
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Hint 

will be the 2x2 coefficient matrix of the system. 
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 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. We want to write the given system of differential equations as . Since , we have . So, we need to find the matrix , where
Thus , and the answer is: 
Please rate how easy you found this problem:
Hard Easy 
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