What is inverse oflaplace 3 ?

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

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inverse oflaplace 3

inverse laplace

3

3 δ (t)

Solution steps

L^{- 1} {3}

= L^{- 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)}

= 3 L^{- 1} {1}

Use Inverse Laplace Transform table:

L^{- 1} {1} = δ (t)

Where

δ (t)

is Dirac delta function

= 3 δ (t)

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(1 - e^{2 y}) \frac{d y}{d x} = e^{y}