What is laplacetransform 2*e^{(5*t-2)} ?

The answer to laplacetransform 2*e^{(5*t-2)} is 2/(e^2(s-5))

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laplacetransform 2e^{(5t-2)}

laplace transform

2 \cdot e^{(5 \cdot t - 2)}

\frac{2}{e ^{2} ( s - 5 )}

Solution steps

L {2 e^{(5 t - 2)}}

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 e^{- 2} L {e^{5 t}}

L {e^{5 t}} : \frac{1}{s - 5}

= 2 e^{- 2} \frac{1}{s - 5}

Refine

2 e^{- 2} \frac{1}{s - 5} : \frac{2}{e ^{2} ( s - 5 )}

= \frac{2}{e ^{2} ( s - 5 )}

What is laplacetransform 2*e^{(5*t-2)} ?
The answer to laplacetransform 2*e^{(5*t-2)} is 2/(e^2(s-5))