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}