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}

(4 x + 3) (2 x^{2} + 7 x - 1)

\int x^{2} - 21 d x

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

\frac{x ^{2} - 2 x}{x}

\int_{1}^{13} 4 x^{- 2} d x

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