What is laplacetransform 10e^{(-10t)} ?

The answer to laplacetransform 10e^{(-10t)} is (10)/(s+10)

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laplacetransform 10e^{(-10t)}

laplace transform

10 e^{(- 10 t)}

\frac{10}{s + 10}

Solution steps

L {10 e^{(- 10 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)}

= 10 L {e^{- 10 t}}

L {e^{- 10 t}} : \frac{1}{s + 10}

= 10 \cdot \frac{1}{s + 10}

Refine

10 \frac{1}{s + 10} : \frac{10}{s + 10}

= \frac{10}{s + 10}

What is laplacetransform 10e^{(-10t)} ?
The answer to laplacetransform 10e^{(-10t)} is (10)/(s+10)