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}

ma c l a u r in (1 + x)^{\frac{- 3}{2}}

d er i v a t i v e cos (sin (tan (3 x)))

x \to 0 lim ((e x - 1) cot (2 x))

\int \frac{x + 17}{x ^{2} + 16 x + 68} d x

\int \frac{( 4 x + 13 )}{( x ^{2} + 3 x - 10 )} d x

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