What is inverse oflaplace 1/2 ?

The answer to inverse oflaplace 1/2 is 1/2 \delta(t)

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inverse oflaplace 1/2

inverse laplace

\frac{1}{2}

\frac{1}{2} δ (t)

Solution steps

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

= L^{- 1} {\frac{1}{2} \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}{2} L^{- 1} {1}

Use Inverse Laplace Transform table:

L^{- 1} {1} = δ (t)

Where

δ (t)

is Dirac delta function

= \frac{1}{2} δ (t)

f (x) = e^{9 x s i n (2 x)}

\int x^{2} \cdot e^{- 3 x} d x

\frac{\partial}{\partial x} (- ln (x))

\int \frac{14}{2 x + x x} d x

y^{^{''}} + 4 y^{^{'}} + 4 y = x cos (2 x)

What is inverse oflaplace 1/2 ?
The answer to inverse oflaplace 1/2 is 1/2 \delta(t)