What is laplacetransform 6-6e^{-5t} ?

The answer to laplacetransform 6-6e^{-5t} is 6/s-6/(s+5)

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laplacetransform 6-6e^{-5t}

laplace transform

6 - 6 e^{- 5 t}

\frac{6}{s} - \frac{6}{s + 5}

Solution steps

L {6 - 6 e^{- 5 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 {6} - 6 L {e^{- 5 t}}

L {6} : \frac{6}{s}

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

= \frac{6}{s} - 6 \cdot \frac{1}{s + 5}

Refine

\frac{6}{s} - 6 \frac{1}{s + 5} : \frac{6}{s} - \frac{6}{s + 5}

= \frac{6}{s} - \frac{6}{s + 5}

\int_{0}^{\frac{5}{12}} 60 x d x

\frac{d}{d x} (e^{2 x} - e^{2})

(1 + x)^{- \frac{3}{5}}

x \to 7 lim (\frac{x + 7}{∣ x + 7 ∣})

x \to 2 lim (x^{4} - 8)

What is laplacetransform 6-6e^{-5t} ?
The answer to laplacetransform 6-6e^{-5t} is 6/s-6/(s+5)