What is laplacetransform 2e^{3t} ?

The answer to laplacetransform 2e^{3t} is 2/(s-3)

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laplacetransform 2e^{3t}

laplace transform

2 e^{3 t}

\frac{2}{s - 3}

Solution steps

L {2 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)}

= 2 L {e^{3 t}}

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

= 2 \cdot \frac{1}{s - 3}

Refine

2 \frac{1}{s - 3} : \frac{2}{s - 3}

= \frac{2}{s - 3}

8 (\frac{1}{s ^{5}})

y = x^{3} + 2 x, y = 3 x

\int e^{- x} sin (x) + 1 d x

\int \frac{1}{( x + 2 ) ( x - 5 )} d x

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

What is laplacetransform 2e^{3t} ?
The answer to laplacetransform 2e^{3t} is 2/(s-3)