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

The answer to laplacetransform-3e^{-t} is -3/(s+1)

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laplacetransform-3e^{-t}

laplace transform

- 3 e^{- t}

- \frac{3}{s + 1}

Solution steps

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

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

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

Refine

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

= - \frac{3}{s + 1}

\int \frac{4 x ^{2} - 25}{x ^{3}} d x

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

x \to 6 lim (5)

y^{^{''}} + 10 y^{^{'}} + 25 y = 7 e^{2 x}

\int_{- \infty}^{3} x e^{x} d x

What is laplacetransform-3e^{-t} ?
The answer to laplacetransform-3e^{-t} is -3/(s+1)