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}

x^{4}

f (x) = (3 x - x^{3}) (7 x + 6)

x \to 5 lim (\frac{1}{x ^{2}})

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

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

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