What is laplacetransform 13e^{4t}e^2 ?

The answer to laplacetransform 13e^{4t}e^2 is (13e^2)/(s-4)

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laplacetransform 13e^{4t}e^2

laplace transform

13 e^{4 t} e^{2}

\frac{13 e ^{2}}{s - 4}

Solution steps

L {13 e^{2} e^{4 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)}

= 13 e^{2} L {e^{4 t}}

L {e^{4 t}} : \frac{1}{s - 4}

= 13 e^{2} \frac{1}{s - 4}

Refine

13 e^{2} \frac{1}{s - 4} : \frac{13 e ^{2}}{s - 4}

= \frac{13 e ^{2}}{s - 4}

What is laplacetransform 13e^{4t}e^2 ?
The answer to laplacetransform 13e^{4t}e^2 is (13e^2)/(s-4)