Tutorial 8: Laplace Transform 1
Question PDF
My solution
- Using the definition of Laplace transform, find the transform . Show the details of your integration.
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Solution
Question (i)
Question (ii)
Question (iii)
Question (iv)
Let
Question (v)
Question (vi)
Question (vii)
Question (viii)
- Referring to the Laplace transform table, find the transform . Show the modification details that you need to do before the transform can be done.
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Solution
Question (i)
Question (ii)
Question (iii)
Question (iv)
Question (v)
Question (vi)
Question (vii)
Question (viii)
- Given , find . Show the details of your work, including the partial fraction expansion if necessary.
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Solution
Question (i)
Question (ii)
Question (iii)
Question (iv)
Question (v)
Let ⇒
Question (vi)
Question (vii)
Let ⇒
Question (viii)
Question (ix)
Question (x)
Let ⇒
- (a) Using the Laplace transform definition, evaluate the Laplace transform for the following function:
(b) Prove your answer in part (a) by expressing the functions using unit step function and find by referring to the Laplace transform table.
Solution
Question (a)
Question (b)
- Using the theorem , find if . You are not allowed to use partial fraction expansion.
Solution