What is inverse oflaplace te^{2t} ?

The answer to inverse oflaplace te^{2t} is Undefined

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inverse oflaplace te^{2t}

inverse laplace

t e^{2 t}

Undefined

Solution steps

L^{- 1} {e^{2 t} t}

Apply inverse transform rule:

L^{- 1} {F (s)} = f (t)

then

L^{- 1} {s F (s)} = \frac{d}{d t} f (t) + f (0)

For

t e^{2 t} : F (t) = e^{2 t}

= \frac{d}{d t} (L^{- 1} {e^{2 t}}) + L^{- 1} {e^{2 t}} (0)

L^{- 1} {e^{2 t}} : δ (t + 2)

Evaluate

δ (t + 2)

at point

0 =

Undefined

= Undefined

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What is inverse oflaplace te^{2t} ?
The answer to inverse oflaplace te^{2t} is Undefined