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3 cards from this section. Quick, good the night before a test.
What does the division by t rule in Laplace transforms imply?
Think about the relationship between division and integration.
Explain what it means for a function to be of exponential order.
Consider functions like e^t.
What does the division by t rule in Laplace transforms do?
Consider how we relate division and integration.
True or False: The division by t rule can be applied on any function regardless of its characteristics.
Think about function types and their behaviors.
Given the function f(t) = e^(4t) / t, find its Laplace transform using the division by t property.
Set up the equation based on what we learned about the division by t rule.
Prove that dividing by t transforms the Laplace domain integral into a simpler form. Show your workings with an example function.
Think about Fubini's theorem and how you can use it to rearrange integrals.
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