What is laplacetransform e^{*1/4 t} ?

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

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laplacetransform e^{*1/4 t}

laplace transform

e^{\cdot \frac{1}{4} t}

\frac{4}{4 s - 1}

Solution steps

L {e^{\frac{1}{4} t}}

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}

\int in sec (x) tan (x) d x

9 y^{^{''}} + y = 0, y (\frac{3 π}{2}) = 6, y (0) = - 8

x + y = 0, x = y^{2} + 3 y

\int k e^{- k x} d x

ln (x^{100})

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