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#1

$Old$ November 4th, 2009, 01:48 PM

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$Default$ Laplace transforms (shift thereom)

Can someone tell me if the asnwer to

Using the first shift thereom, determine
$L^{-1} { \frac {s}{s^2 + 4s+ 20}}$

Is $e^{-2t} cos4t - 0.5e^{-2t} sin4t$

Cheers!

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#2

$Old$ November 4th, 2009, 06:57 PM

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Originally Posted by mongmong $View Post$

Can someone tell me if the asnwer to

Using the first shift thereom, determine
$L^{-1} { \frac {s}{s^2 + 4s+ 20}}$

Is $e^{-2t} cos4t - 0.5e^{-2t} sin4t$

Cheers!

Since the expresion can be written as $\frac{s + 2}{(s + 2)^2 + 4^2} - \frac{2}{(s + 2)^2 + 4^2}$ , your answer is correct.

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