What is laplacetransform 3-e^{2t} ?

The answer to laplacetransform 3-e^{2t} is 3/s-1/(s-2)

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laplacetransform 3-e^{2t}

laplace transform

3 - e^{2 t}

\frac{3}{s} - \frac{1}{s - 2}

Solution steps

L {3 - e^{2 t}}

Use the linearity property of Laplace Transform:

For functions

f (t), g (t)

and constants

a, b : L {a \cdot f (t) + b \cdot g (t)} = a \cdot L {f (t)} + b \cdot L {g (t)}

= L {3} - L {e^{2 t}}

L {3} : \frac{3}{s}

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

= \frac{3}{s} - \frac{1}{s - 2}

What is laplacetransform 3-e^{2t} ?
The answer to laplacetransform 3-e^{2t} is 3/s-1/(s-2)