L{f(t)} F(s) Suppose that L{f'(t)} exists What's the value of: {-te¹0f'(t)} A) SF'(s) + F(s) B) (s 10) F'(s - 10) + F(s-10) - C) (s 10) F'(s - 10) + F(0) D) (s 10)F(s 10) - f(0) - - = with F a derivable function and that

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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L{f(t)} = F(s)
Suppose that
L {f'(t)}
exists
10t
What's the value of: L {-te¹⁰t f'(t)}
A) SF'(s)+F(s)
B) (s
-
10) F'(s - 10) + F(s - 10)
C) (s
10) F'(s - 10) + F(0)
D) (s 10)F(s 10)-f(0)
-
-
-
with F a derivable function and that
Transcribed Image Text:L{f(t)} = F(s) Suppose that L {f'(t)} exists 10t What's the value of: L {-te¹⁰t f'(t)} A) SF'(s)+F(s) B) (s - 10) F'(s - 10) + F(s - 10) C) (s 10) F'(s - 10) + F(0) D) (s 10)F(s 10)-f(0) - - - with F a derivable function and that
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