anonymous
  • anonymous
hey im stuggling on a question, can someone please help how do you get from x(t) = e^(-t/3)u(t) to X(s) = 3/(3s + 1) x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
laplace transform?
anonymous
  • anonymous
yeah but can not seem to get the answer. Help? I am really struggling x
anonymous
  • anonymous
\[\large{L(e^{-{\frac{t}{3}}}u(t))= \frac{1}{s+\frac{1}{3}}}= \frac{3}{3s+1}\]

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amistre64
  • amistre64
hmm, not to adept with these, but it looks like maybe: \[-\frac{1}{3}t-st=-t(s+\frac{1}{3})\] how you get to Lanas I aint got no clue :) but afterwards you can simplify it by mutliplying at all by 3/3
anonymous
  • anonymous
but u cant have t's in X(s)?
amistre64
  • amistre64
right, which is the part im not to adept at ;)
anonymous
  • anonymous
How would you show this from first principles? x
amistre64
  • amistre64
ack!!
amistre64
  • amistre64
pauls online notes has some good material
anonymous
  • anonymous
im not sure i did it right either, what i did was laplace(e^(-t/3)) ...
amistre64
  • amistre64
http://tutorial.math.lamar.edu/Classes/DE/LaplaceDefinition.aspx
anonymous
  • anonymous
\[e^{-\alpha t}u(t)= \frac{1}{s+ \alpha}\]

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