What is inverse oflaplace-(0.625)/(s+4) ?

The answer to inverse oflaplace-(0.625)/(s+4) is -0.625e^{-4t}

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inverse oflaplace-(0.625)/(s+4)

inverse laplace

- \frac{0.625}{s + 4}

- 0.625 e^{- 4 t}

Solution steps

L^{- 1} {- \frac{0.625}{s + 4}}

Use the constant multiplication property of Inverse Laplace Transform:

For function

f (t)

and constant

a : L^{- 1} {a \cdot f (t)} = a \cdot L^{- 1} {f (t)}

= - L^{- 1} {\frac{0.625}{s + 4}}

L^{- 1} {\frac{0.625}{s + 4}} : 0.625 e^{- 4 t}

= - 0.625 e^{- 4 t}

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What is inverse oflaplace-(0.625)/(s+4) ?
The answer to inverse oflaplace-(0.625)/(s+4) is -0.625e^{-4t}