What is laplacetransform e^{t-2} ?

The answer to laplacetransform e^{t-2} is 1/(e^2(s-1))

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laplacetransform e^{t-2}

laplace transform

e^{t - 2}

\frac{1}{e ^{2} ( s - 1 )}

Solution steps

L {e^{t - 2}}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= e^{- 2} L {e^{t}}

L {e^{t}} : \frac{1}{s - 1}

= e^{- 2} \frac{1}{s - 1}

Refine

e^{- 2} \frac{1}{s - 1} : \frac{1}{e ^{2} ( s - 1 )}

= \frac{1}{e ^{2} ( s - 1 )}

What is laplacetransform e^{t-2} ?
The answer to laplacetransform e^{t-2} is 1/(e^2(s-1))