What is inverse oflaplace 2/(s^4) ?

The answer to inverse oflaplace 2/(s^4) is (t^3)/3

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inverse oflaplace 2/(s^4)

inverse laplace

\frac{2}{s ^{4}}

\frac{t ^{3}}{3}

Solution steps

L^{- 1} {\frac{2}{s ^{4}}}

= L^{- 1} {\frac{1}{3} \cdot \frac{6}{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)}

= \frac{1}{3} L^{- 1} {\frac{6}{s ^{4}}}

Use Inverse Laplace Transform table:

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

L^{- 1} {\frac{6}{s ^{4}}} = t^{3}

= \frac{1}{3} t^{3}

= \frac{t ^{3}}{3}

\int \frac{2}{( t + 4 ) ( t - 1 )} d t

\frac{d}{d x} (\frac{- 2 x}{( x ^{2} + 1 ) ^{2}})

ln (\frac{x ^{\frac{4}{3}} cos ( x )}{7 x + 6})

y^{^{''''}} + 5 y^{^{''}} + 4 y = 0

\int \frac{1}{a + v ^{2}} d v

What is inverse oflaplace 2/(s^4) ?
The answer to inverse oflaplace 2/(s^4) is (t^3)/3