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4 cards from this section. Quick, good the night before a test.
What is the value of δ(t - a) for t ≠ a?
Think about where the impulse occurs.
What is the integral of δ(t - a) over all time?
Recall the defining property of the delta function.
What is the Laplace Transform of δ(t)?
Recall the special case of the delta function.
True or False: The Dirac Delta Function is a standard function.
Think about its definition and properties.
Given a system modeled by the differential equation d²y/dt² + 3dy/dt + 2y = δ(t - 1), find the particular solution.
Separate the terms and examine the role of the delta function.
How would you formulate a system response if the input is δ(t - a) and state the implications?
Link the concepts of impulse response and system dynamics.
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