Science:Math Exam Resources/Courses/MATH215/December 2011/Question 07 (b)
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Question 07 (b) 

Consider the system of equations (b) Find the Jacobian matrix of the system. 
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 hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint. 
Hint 1 

The Jacobian matrix is the matrix of all the firstorder partial derivatives. 
Hint 2 

Let f(x,y) and g(x,y) be the right hand side of x' and y', respectively. Then the Jacobian matrix is
f_x & f_y \\ g_x & g_y \end{array}\right) 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. We will denote and . Then the Jacobian matrix at at point is 