What is laplacetransform-2e^{2t} ?

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

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laplacetransform-2e^{2t}

laplace transform

- 2 e^{2 t}

- \frac{2}{s - 2}

Solution steps

L {- 2 e^{2 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^{2 t}}

L {e^{2 t}} : \frac{1}{s - 2}

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

Refine

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

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

\frac{s - 5}{( s - 4 ) ^{2} - 3}

\int_{1}^{2} \frac{8 - x ^{2}}{x ^{3}} d x

\int \frac{x ^{2}}{2} + 1 d x

\frac{\partial}{\partial x} (x y + 81)

n = 1 \sum \infty \frac{5}{n ( n + 3 )}

What is laplacetransform-2e^{2t} ?
The answer to laplacetransform-2e^{2t} is -2/(s-2)