What is inverse oflaplace 1/(s^5) ?

The answer to inverse oflaplace 1/(s^5) is (t^4)/(24)

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inverse oflaplace 1/(s^5)

inverse laplace

\frac{1}{s ^{5}}

\frac{t ^{4}}{24}

Solution steps

L^{- 1} {\frac{1}{s ^{5}}}

= L^{- 1} {\frac{1}{24} \cdot \frac{24}{s ^{5}}}

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)}

= \frac{1}{24} L^{- 1} {\frac{24}{s ^{5}}}

Use Inverse Laplace Transform table:

L^{- 1} {\frac{( n ) !}{s ^{n + 1}}} = t^{n}

L^{- 1} {\frac{24}{s ^{5}}} = t^{4}

= \frac{1}{24} t^{4}

= \frac{t ^{4}}{24}

y = 0.7 (x + 0.2)^{3} + 4, 1, - 0.1

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

\int \frac{sin ( 2 x )}{2 cos ( x )} d x

\int x sin (x) d x

What is inverse oflaplace 1/(s^5) ?
The answer to inverse oflaplace 1/(s^5) is (t^4)/(24)