What is inverse oflaplace 1/3 ?

The answer to inverse oflaplace 1/3 is 1/3 \delta(t)

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inverse oflaplace 1/3

inverse laplace

\frac{1}{3}

\frac{1}{3} δ (t)

Solution steps

L^{- 1} {\frac{1}{3}}

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

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} {1}

Use Inverse Laplace Transform table:

L^{- 1} {1} = δ (t)

Where

δ (t)

is Dirac delta function

= \frac{1}{3} δ (t)

\int \frac{3 x + 11}{x ^{2} - 2 x - 3} d x

\int \frac{x ^{3} - 1}{x ^{2} - 4} d x

\int 14 sin^{2} (x co) s^{2} x d x

(64, 56), (28, 33)

x \to 0 - lim (\frac{1}{x ^{2} + 6 x})

What is inverse oflaplace 1/3 ?
The answer to inverse oflaplace 1/3 is 1/3 \delta(t)