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

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

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laplacetransform-4e^{4t}

laplace transform

- 4 e^{4 t}

- \frac{4}{s - 4}

Solution steps

L {- 4 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)}

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

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

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

Refine

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

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

\frac{\partial}{\partial y} (cos (x))

7 y^{^{''}} + 26 y = 0

\frac{- 5}{6 x ^{6}}

\frac{d}{d x} (\frac{0.3 ( 9 ^{x} )}{x ^{3}})

f (x) = 5 - 2 x^{3}

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