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Laplace Transform for x(t)=0?

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alishel

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Hi guys i have one question. i am just wondering what's the Laplace Transform for x(t)=0? is it 0 as well? my homework is due tomorrow :(

thanks in advance :)
 

f(s)=integral ( x(t) e^-st)dt limits 0 to inf

x(t)=0

lets look, are there (0 x inf) ?

f(s)=0*integral (e^-st)dt

f(s)=0*(-1/s)(e^-st) limits 0 to inf

f(s)=0
 

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    alishel

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THe Laplace transform of e^(-at) is 1/s+a so 1 = e(-0t), so its transform is 1/s.

Added after 2 minutes:

so for 0, we got e^(-infinity*t), so for 0 it is 0.
 

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    alishel

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Thank you both of you. very well-explained :)
 

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