What is inverse oflaplace 3/(\frac{s+2){s}} ?

The answer to inverse oflaplace 3/(\frac{s+2){s}} is 3(\delta(t)-2e^{-2t})

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inverse oflaplace 3/(\frac{s+2){s}}

inverse laplace

\frac{3}{\frac{s + 2}{s}}

3 (δ (t) - 2 e^{- 2 t})

Solution steps

L^{- 1} {\frac{3}{\frac{s + 2}{s}}}

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)}

= 3 L^{- 1} {\frac{1}{\frac{s + 2}{s}}}

L^{- 1} {\frac{1}{\frac{s + 2}{s}}} : δ (t) - 2 e^{- 2 t}

= 3 (δ (t) - 2 e^{- 2 t})

\frac{\partial}{\partial x} (2 x^{4} + 5 y^{2} + x y)

\int \frac{3}{x} + 10 sec^{2} (x) + 40 e^{x} d x

\frac{d}{d x} (e^{x y} cos (x + y))

y^{^{'}} - \frac{3}{x ^{2}} y = \frac{1}{x ^{2}}

y^{^{'}} = \frac{t}{t ^{2} y + y}

What is inverse oflaplace 3/(\frac{s+2){s}} ?
The answer to inverse oflaplace 3/(\frac{s+2){s}} is 3(\delta(t)-2e^{-2t})