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Find the inverse Laplace Transform. Please show all work.
Solution
F(s) = e^-7s / ( s^2 + 2s + 1 + 1)
= e^(-7s) / [ ( s + 1)^2 + 1^2 ]
Applying inverse laplce transform we get
f (t) = f( t - ( -7) ) e^(-t) sin t
= e^(-t) sin t f(t+7)

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Find the inverse Laplace Transform. Please show all work.Solutio.pdf

  • 1. Find the inverse Laplace Transform. Please show all work. Solution F(s) = e^-7s / ( s^2 + 2s + 1 + 1) = e^(-7s) / [ ( s + 1)^2 + 1^2 ] Applying inverse laplce transform we get f (t) = f( t - ( -7) ) e^(-t) sin t = e^(-t) sin t f(t+7)