Let f(t) be a continuous function on [0, ∞) and differentiable on (0, ∞), f(0) =0 then the Laplace transform of the function t g(t) = f Tf'(r)dr is Select one: ○ G(s) = − F'(s) — F(s) - G(s) F'(s) – F(s) = ——- - S G(s) = - F'(s) – F(5) - S G(s) = ¹ (F¹(s) + F(s) x − -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f(t) be a continuous
function on
[0, ∞) and differentiable on (0, ∞),
f(0) = 0 then the Laplace
transform of the function
g(t) = f Tf' (7)dr is
Select one:
○ G(s) = −F'(s) – F(s)
G(s) F'(s) – F(s)
-
=
-
—
S
G(s) = -F'(8) F(5)
S
-
-
G(s) = ¹ (F¹(s) + F(s) x
−
Transcribed Image Text:Let f(t) be a continuous function on [0, ∞) and differentiable on (0, ∞), f(0) = 0 then the Laplace transform of the function g(t) = f Tf' (7)dr is Select one: ○ G(s) = −F'(s) – F(s) G(s) F'(s) – F(s) - = - — S G(s) = -F'(8) F(5) S - - G(s) = ¹ (F¹(s) + F(s) x −
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