Practice Basic Inverse Laplace Transforms (12.3)

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6 sample questions

Question 1.
Find the inverse Laplace transform of F(s) = 1/s.
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Think of basic pairs.
Question 2.
What is the inverse Laplace transform of F(s) = 1/s^2?
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Consider the function and derivatives.
3Question 3.
What is the inverse Laplace transform of F(s) = 1/s?
- 1
- t
- e^{-t}
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Refer to fundamental pairs.
4Question 4.
True or False: The Convolution Theorem can be applied to find the inverse of a product of Laplace transforms.
- True
- False
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Consider the meaning of convolution.
Question 5.
Derive the inverse Laplace transform of F(s) = (2s + 3)/(s^2 + 4). Use multiple methods.
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Split into fractions to simplify the function.
Question 6.
Using the Convolution Theorem, calculate the response function for the product of two transforms.
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Keep track of limits and ensure correct integration.

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