Consider the following initial value problem, in which an input of large amplitude and short duration has
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Question:
Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function.
y? + y = 8 + ? (t-2), y(0) = 0.
a. Find the Laplace transform of the solution.
Y(s) = L {y(t)} =
b. Obtain the solution y(t).
y(t) =
c. Express the solution as a piece wise-defined function and think about what happens to the graph of the solution at t = 2.
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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