What is laplacetransform e^{-t/4} ?

The answer to laplacetransform e^{-t/4} is 4/(4s+1)

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laplacetransform e^{-t/4}

laplace transform

e^{- \frac{t}{4}}

\frac{4}{4 s + 1}

Solution steps

L {e^{- \frac{t}{4}}}

Use Laplace Transform table:

L {e^{a t}} = \frac{1}{s - a}

L {e^{- \frac{1}{4} t}} = \frac{1}{s + \frac{1}{4}}

= \frac{1}{s + \frac{1}{4}}

= \frac{4}{4 s + 1}

t \to 1 lim (e^{4 t})

\frac{d y}{d x} - 4 y = x^{6} e^{x}

y = 5 x e^{x} csc (x)

\int x y + x d x

\int x^{2} ln (2 x) d x

What is laplacetransform e^{-t/4} ?
The answer to laplacetransform e^{-t/4} is 4/(4s+1)