Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = 0 the following function. f(t)= ∞ 20-t, 0

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Chapter2: Second-order Linear Odes
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Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = e¯stf(t)dt. Use this definition to determine the Laplace transform of
0
the following function.
f(t) =
20-t. 0<t<20
0,
20 <t
∞0
The Laplace transform of f(t) is F(s) = = for s# and F(s) = 200 otherwise.
(Type exact answers.)
Transcribed Image Text:Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = e¯stf(t)dt. Use this definition to determine the Laplace transform of 0 the following function. f(t) = 20-t. 0<t<20 0, 20 <t ∞0 The Laplace transform of f(t) is F(s) = = for s# and F(s) = 200 otherwise. (Type exact answers.)
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