What is laplacetransform e^{3-t} ?

The answer to laplacetransform e^{3-t} is (e^3)/(s+1)

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laplacetransform e^{3-t}

laplace transform

e^{3 - t}

\frac{e ^{3}}{s + 1}

Solution steps

L {e^{3 - t}}

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^{3} L {e^{- t}}

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

= e^{3} \frac{1}{s + 1}

Refine

e^{3} \frac{1}{s + 1} : \frac{e ^{3}}{s + 1}

= \frac{e ^{3}}{s + 1}

\frac{d}{d x} (\frac{- y ^{2}}{( x - y ) ^{2}})

\frac{\partial ^{2}}{\partial x ^{2}} (sin^{2} (m x + n y))

\frac{1}{( s - 1 ) ^{5}}

\frac{d}{d x} (2 x^{3} - 5 x)

\int \frac{2}{( x - 2 ) ^{2}} d x

What is laplacetransform e^{3-t} ?
The answer to laplacetransform e^{3-t} is (e^3)/(s+1)