What is laplacetransform 4e^{2t} ?

The answer to laplacetransform 4e^{2t} is 4/(s-2)

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laplacetransform 4e^{2t}

laplace transform

4 e^{2 t}

\frac{4}{s - 2}

Solution steps

L {4 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)}

= 4 L {e^{2 t}}

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

= 4 \cdot \frac{1}{s - 2}

Refine

4 \frac{1}{s - 2} : \frac{4}{s - 2}

= \frac{4}{s - 2}

y = 2 tan^{2} (2 x) - 1

\frac{4 - x e ^{x}}{x + e ^{x}}

\frac{d y}{d t} = \frac{1}{t} y + 3 t

\frac{50}{100 s + 0.01 s ^{2}}

\int \frac{4}{16 - x ^{2}} d x

What is laplacetransform 4e^{2t} ?
The answer to laplacetransform 4e^{2t} is 4/(s-2)