What is laplacetransform 7e^{2t} ?

The answer to laplacetransform 7e^{2t} is 7/(s-2)

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laplacetransform 7e^{2t}

laplace transform

7 e^{2 t}

\frac{7}{s - 2}

Solution steps

L {7 e^{2 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)}

= 7 L {e^{2 t}}

L {e^{2 t}} : \frac{1}{s - 2}

= 7 \cdot \frac{1}{s - 2}

Refine

7 \frac{1}{s - 2} : \frac{7}{s - 2}

= \frac{7}{s - 2}

What is laplacetransform 7e^{2t} ?
The answer to laplacetransform 7e^{2t} is 7/(s-2)