What is laplacetransform-3-5e^{-3t} ?

The answer to laplacetransform-3-5e^{-3t} is -3/s-5/(s+3)

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laplacetransform-3-5e^{-3t}

laplace transform

- 3 - 5 e^{- 3 t}

- \frac{3}{s} - \frac{5}{s + 3}

Solution steps

L {- 3 - 5 e^{- 3 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} - 5 L {e^{- 3 t}}

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

L {e^{- 3 t}} : \frac{1}{s + 3}

= - \frac{3}{s} - 5 \cdot \frac{1}{s + 3}

Refine

- \frac{3}{s} - 5 \frac{1}{s + 3} : - \frac{3}{s} - \frac{5}{s + 3}

= - \frac{3}{s} - \frac{5}{s + 3}

\int \frac{2 x}{x ^{2} - 36} d x

\int \frac{4}{3} d x

\frac{\partial}{\partial x} (y \cdot sin (x + y))

\int \frac{2}{2 x - x ^{2}} d x

g (x) = 4 - x

What is laplacetransform-3-5e^{-3t} ?
The answer to laplacetransform-3-5e^{-3t} is -3/s-5/(s+3)