What is laplacetransform 2e^{4t} ?

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

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laplacetransform 2e^{4t}

laplace transform

2 e^{4 t}

\frac{2}{s - 4}

Solution steps

L {2 e^{4 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^{4 t}}

L {e^{4 t}} : \frac{1}{s - 4}

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

Refine

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

= \frac{2}{s - 4}

t an g e n t x^{4}

\int 2 x e^{2 x} d x

\int_{1}^{2} \frac{x ^{5} + 5 x ^{8}}{x ^{4}} d x

\frac{d}{d x} (x^{\frac{1}{3}} + 2 x)

\int_{0}^{9} x d x

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