Science:Math Exam Resources/Courses/MATH152/April 2011/Question B 02 (a)
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Question B 02 (a) 

Consider the differential equation system where A has eigenvalues and with corresponding eigenvectors What is the general solution of the system of differential equations? 
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 

How can we write solutions in terms of,

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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Recall that a solution to with eigenvalues , and eigenvectors is Therefore, for this specific example, the solution is, 