What is laplacetransform 3e^{3t} ?

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

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laplacetransform 3e^{3t}

laplace transform

3 e^{3 t}

\frac{3}{s - 3}

Solution steps

L {3 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)}

= 3 L {e^{3 t}}

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

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

Refine

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

= \frac{3}{s - 3}

\frac{d}{d x} (ln (\frac{4 x ^{2}}{x - 6}))

\int e^{u} sin (u) d u

\frac{s + 2}{s ^{2} + s}

\int sin^{7} (2 x) cos (2 x) d x

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

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