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4 cards from this section. Quick, good the night before a test.
What does the linearity property express in the context of Laplace Transforms?
Remember that linearity relates to addition and scalar multiplication.
State the time-shifting property in simple terms.
Think about how exponential terms can delay functions in time.
What is the effect of the linearity property on Inverse Laplace Transforms?
Think about how we combine functions.
Does time shifting affect how functions are presented?
Consider the example of delayed functions.
Given the function F(s) = 5/(s^2 + 4), find the inverse transform using the shifts and decompositions that could apply.
Consider how to express constants in terms of known pairs.
Consider a function F(s) = 2/(s - 1)^2. Use the properties to evaluate the inverse transform and discuss its implications.
What happens when you have repeated poles? Think about your functions' growth.
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