What is laplacetransform-3e^{4t} ?

The answer to laplacetransform-3e^{4t} is -3/(s-4)

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laplacetransform-3e^{4t}

laplace transform

- 3 e^{4 t}

- \frac{3}{s - 4}

Solution steps

L {- 3 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)}

= - 3 L {e^{4 t}}

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

= - 3 \cdot \frac{1}{s - 4}

Refine

- 3 \frac{1}{s - 4} : - \frac{3}{s - 4}

= - \frac{3}{s - 4}

\int_{1}^{3} \frac{e ^{x}}{e ^{x} - 1} d x

\int 3 - t e^{- t} d t

\int \frac{1 - 3 x}{2 1 - x} d x

\int 7 x e^{3 x} d x

\int 484 - x^{2} d x

What is laplacetransform-3e^{4t} ?
The answer to laplacetransform-3e^{4t} is -3/(s-4)