Science:Math Exam Resources/Courses/MATH215/April 2013/Question 08

MATH215 April 2013

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Question 08
Use the Laplace transform to solve the initial value problem: $\displaystyle y''+2y=u_{\pi }(t)\sin t+u_{2\pi }(t)\sin t\quad y(0)=y'(0)=1$ where $u_{\pi }(t),u_{2\pi }(t)$ are the unit step functions with steps at $\pi$ and $2\pi$, respectively.

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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Solution
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