MATH101 April 2009
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Question 06 (a)
Solve the differential equation:
- with initial conditions .
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!
then try a separation of variables.
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We proceed as in the hint
Integrating both sides gives
Plugging in to solve for the constant yields
and isolating for y, we have
completing the question.
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