What is laplacetransform-2e^t ?

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

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laplacetransform-2e^t

laplace transform

- 2 e^{t}

- \frac{2}{s - 1}

Solution steps

L {- 2 e^{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)}

= - 2 L {e^{t}}

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

= - 2 \cdot \frac{1}{s - 1}

Refine

- 2 \frac{1}{s - 1} : - \frac{2}{s - 1}

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

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