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

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

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laplacetransform-4e^{3t}

laplace transform

- 4 e^{3 t}

- \frac{4}{s - 3}

Solution steps

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

L {e^{3 t}} : \frac{1}{s - 3}

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

Refine

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

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

x \to 0 lim (- 9 x^{2} + 6 x)

csc (2 x)

f (t) = 4 t - 9 t^{2}

\int (3 x - 4) x^{2} d x

\int x (x - 4)^{5} d x

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