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2 cards from this section. Quick, good the night before a test.
Define the Initial Value Theorem (IVT).
Think about how the IVT simplifies finding initial function values.
What are the necessary conditions for applying the IVT?
Recall the acronym LEAP.
What does the Initial Value Theorem relate?
Think about how we evaluate functions at starting points.
True or False: The limits involved in the IVT must be infinite.
Consider the specific conditions for the limits.
Prove that if F(s) = 2/(s+5), then the initial value using IVT is correct and explain the steps taken.
Use the definition of the IVT and work through the substitution.
Create a function whose Laplace Transform fails IVT. Explain why and calculate the limits involved.
Focus on the behavior around t = 0 and identify impulses.
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