00 -Ind Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the integral F(s) = f(t)dt. 0 Use this definition to determine the Laplace transform of the following function. 41 K f(t)= 0

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Chapter2: Second-order Linear Odes
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Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the integral F(s) = Sestf(t)dt.
Use this definition to determine the Laplace transform of the following function.
f(t)=
4, 0<t<3
2, 3<t
00
The Laplace transform of f(t) is F(s) = for all positives and F(s) = 3 + 12 otherwise.
(Type exact answers.)
0
Transcribed Image Text:Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the integral F(s) = Sestf(t)dt. Use this definition to determine the Laplace transform of the following function. f(t)= 4, 0<t<3 2, 3<t 00 The Laplace transform of f(t) is F(s) = for all positives and F(s) = 3 + 12 otherwise. (Type exact answers.) 0
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