Science:Math Exam Resources/Courses/MATH215/December 2013/Question 04 (a)
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Question 04 (a) 

Find the Laplace transform of the following piecewise continuous function by either using the definition of Laplace transform or the second shifting theorem involving a unit step function. 
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 

The second shifting theorem states , where denotes the heaviside function. You need to recognize a function ƒ so that 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. We will use the fact that . We recognize that where . Thus, 