3 Problem Sketch (by hand) the following function on the interval t = [-27, 47] and find its Laplace t form: f(t) = sin(t)- sin(t - a)H(t - a) where H(ta) is the unit step function delayed to start at time a = 27. Hint: Use the Laplace transform for a translated function.

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Chapter2: Second-order Linear Odes
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Sketch (by hand) the following function on the interval t € [−27,47] and find its Laplace t
form:
3
f(t)= sin(t) sin(t - a)H(t-a)
where H(ta) is the unit step function delayed to start at time a = 2πt.
Hint: Use the Laplace transform for a translated function.
Transcribed Image Text:Problem Sketch (by hand) the following function on the interval t € [−27,47] and find its Laplace t form: 3 f(t)= sin(t) sin(t - a)H(t-a) where H(ta) is the unit step function delayed to start at time a = 2πt. Hint: Use the Laplace transform for a translated function.
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