What is laplacetransform-4e^t ?

The answer to laplacetransform-4e^t is -4/(s-1)

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laplacetransform-4e^t

laplace transform

- 4 e^{t}

- \frac{4}{s - 1}

Solution steps

L {- 4 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)}

= - 4 L {e^{t}}

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

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

Refine

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

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

\int 1 + sin (2 x) d x

\frac{d}{d x} (arctan (\frac{( x - 1 )}{x + 1}))

x \to - 1 lim (\frac{x}{( x + 1 ) ^{2}})

\frac{d}{d x} (2 x + 8)

e^{4 x} \cdot 4