# Laplace Transform of Exponential/Examples/2 e^4 t

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## Example of Use of Laplace Transform of Exponential

$\laptrans {2 e^{4 t} } = \dfrac 2 {s - 4}$

for $s > 4$.

## Proof

 $\displaystyle \laptrans {2 e^{4 t} }$ $=$ $\displaystyle 2 \laptrans {e^{4 t} }$ Linear Combination of Laplace Transforms $\displaystyle$ $=$ $\displaystyle \dfrac 2 {s - 4}$ Laplace Transform of Exponential

$\blacksquare$