What is inverse oflaplace 3/5 ?

The answer to inverse oflaplace 3/5 is 3/5 \delta(t)

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inverse oflaplace 3/5

inverse laplace

\frac{3}{5}

\frac{3}{5} δ (t)

Solution steps

L^{- 1} {\frac{3}{5}}

= L^{- 1} {\frac{3}{5} \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{3}{5} L^{- 1} {1}

Use Inverse Laplace Transform table:

L^{- 1} {1} = δ (t)

Where

δ (t)

is Dirac delta function

= \frac{3}{5} δ (t)

\frac{d}{d x} (cos (5 x - 9))

\frac{2 s}{s ^{2} + s}

y = 3 e^{4 x}

\int 6 x^{2} \cdot e^{x^{3}} d x

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

What is inverse oflaplace 3/5 ?
The answer to inverse oflaplace 3/5 is 3/5 \delta(t)