Question
Asked Oct 26, 2019
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The laplace transform of the funtion I(t) is...

1
3. The Laplace transform of the function I(t) is I(s) =
Find the Laplace transform of
1
t < 2020
0,
f)
- 2018t I (2019t),
t2 2020.
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1 3. The Laplace transform of the function I(t) is I(s) = Find the Laplace transform of 1 t < 2020 0, f) - 2018t I (2019t), t2 2020.

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Expert Answer

Step 1

To derive the expression for the Laplace transform of f(t ) given the Laplace transform of I(t)

Step 2

Note :f(t) is obtained form I(t) by a series of transformations.  Scaling the variable t (by 2019), mutliplying by Unit Heaviside function at c...

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Basic transformation rules: Let G(s) Laplace transform of g(t) = L(g(t)). Then L(g(ct))=xG C L(g()U(-c)eG(s) (U(t-c) 0, if t <c,1ft2l) L(e g()) G(s-c)

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