What is laplacetransform e^{t-7} ?

The answer to laplacetransform e^{t-7} is 1/(e^7(s-1))

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laplacetransform e^{t-7}

laplace transform

e^{t - 7}

\frac{1}{e ^{7} ( s - 1 )}

Solution steps

L {e^{t - 7}}

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^{- 7} L {e^{t}}

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

= e^{- 7} \frac{1}{s - 1}

Refine

e^{- 7} \frac{1}{s - 1} : \frac{1}{e ^{7} ( s - 1 )}

= \frac{1}{e ^{7} ( s - 1 )}

\int 2 + e^{2 t} + e^{- 2 t} d t

x^{2} + 5 x + 9

x \to 5 lim (x - 1)

f (x) = cos (x) - x sin (x)

\frac{d v}{d t} = 4.9 - (\frac{100 v}{2.5})

What is laplacetransform e^{t-7} ?
The answer to laplacetransform e^{t-7} is 1/(e^7(s-1))