What is laplacetransform 10e^{-10t} ?

The answer to laplacetransform 10e^{-10t} is (10)/(s+10)

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laplacetransform 10e^{-10t}

laplace transform

10 e^{- 10 t}

\frac{10}{s + 10}

Solution steps

L {10 e^{- 10 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)}

= 10 L {e^{- 10 t}}

L {e^{- 10 t}} : \frac{1}{s + 10}

= 10 \cdot \frac{1}{s + 10}

Refine

10 \frac{1}{s + 10} : \frac{10}{s + 10}

= \frac{10}{s + 10}

f (x) = ln (x^{4})

\int cos (\frac{1}{3} x) d x

\frac{1}{( s - 7 ) ^{3}}

n = 1 \sum \infty \frac{2 n}{n ^{2} + 1}

y = e^{- 3 x}, x \geq 0

What is laplacetransform 10e^{-10t} ?
The answer to laplacetransform 10e^{-10t} is (10)/(s+10)