Science:Math Exam Resources/Courses/MATH101/April 2006/Question 01 (g)
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Question 01 (g) |
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Determine the general solution of the differential equation . |
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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Find the roots of the auxiliary polynomial. |
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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Please rate my easiness! It's quick and helps everyone guide their studies. The auxiliary polynomial is Solving for when the above is set to 0 yields where . Thus, the general solution is |