Science:Math Exam Resources/Courses/MATH152/April 2022/Question B4 (c)
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Question B4 (c) 

Assuming , find . Your answer should not involve complex numbers. 
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 

Substitute into the general solution you found in part b). 
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.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. We start by substituting into the equation we found for in part b), Set this equal to and solve for and We can see that and solve the system. Thus, we have 