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

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

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laplacetransform-3e^{2t}

laplace transform

- 3 e^{2 t}

- \frac{3}{s - 2}

Solution steps

L {- 3 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)}

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

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

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

Refine

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

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

x \to - \infty lim (ln (- x))

x \to 3 + lim (\frac{x}{( 3 - x ) ^{2}})

\frac{\partial}{\partial x} (x y + z (x + 2 y - 1))

x + y = 2, y = x^{2}

x \to 3 lim (\frac{x + 4}{x - 3})

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