What is inverse oflaplace (0.707)/(s+0.707) ?

The answer to inverse oflaplace (0.707)/(s+0.707) is 0.707e^{-0.707t}

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inverse oflaplace (0.707)/(s+0.707)

inverse laplace

\frac{0.707}{s + 0.707}

0.707 e^{- 0.707 t}

Solution steps

L^{- 1} {\frac{0.707}{s + 0.707}}

= L^{- 1} {0.707 \cdot \frac{1}{s + 0.707}}

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)}

= 0.707 L^{- 1} {\frac{1}{s + 0.707}}

Use Inverse Laplace Transform table:

L^{- 1} {\frac{1}{s - a}} = e^{a t}

L^{- 1} {\frac{1}{s + 0.707}} = e^{- 0.707 t}

= 0.707 e^{- 0.707 t}

\frac{d}{d x} (a \cdot cos (x) + b \cdot sin (x))

\int (2 (z + 1) e^{2 x - 2} + 2 y) d x

\frac{d}{d x} (A x e^{4 x})

\frac{d}{d x} (\frac{1}{6} (x - 1) (x + 5)^{5} + 10)

y = 9 x^{2} + 9 x - 3

What is inverse oflaplace (0.707)/(s+0.707) ?
The answer to inverse oflaplace (0.707)/(s+0.707) is 0.707e^{-0.707t}