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}

\frac{\partial}{\partial x} (x^{3} e^{x y} + 2 y)

\int 20 x e^{0.1 x^{2}} d x

\int \frac{2 x}{4 x ^{2} + 3} d x

\frac{d}{d x} (\frac{25}{x ^{3}})

\int sin^{x} (d) x d x

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