What is inverse oflaplace 100 ?

The answer to inverse oflaplace 100 is 100\delta(t)

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inverse oflaplace 100

inverse laplace

100

100 δ (t)

Solution steps

L^{- 1} {100}

= L^{- 1} {100 \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)}

= 100 L^{- 1} {1}

Use Inverse Laplace Transform table:

L^{- 1} {1} = δ (t)

Where

δ (t)

is Dirac delta function

= 100 δ (t)

\int (x - 4)^{2} x^{2} d x

\frac{\partial}{\partial x} (- 3 sin (2 x))

\frac{d}{d x} (2 a sin (x))

y^{^{'}} + 4 y = e^{- x}

\int \frac{1 + x ^{2}}{1 + y ^{2}} d x

What is inverse oflaplace 100 ?
The answer to inverse oflaplace 100 is 100\delta(t)