What is laplacetransform x-5 ?

The answer to laplacetransform x-5 is 1/(s^2)-5/s

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laplacetransform x-5

laplace transform

x - 5

\frac{1}{s ^{2}} - \frac{5}{s}

Solution steps

L {x - 5}

Use the linearity property of Laplace Transform:

For functions

f (t), g (t)

and constants

a, b : L {a \cdot f (t) + b \cdot g (t)} = a \cdot L {f (t)} + b \cdot L {g (t)}

= L {x} - L {5}

L {x} : \frac{1}{s ^{2}}

L {5} : \frac{5}{s}

= \frac{1}{s ^{2}} - \frac{5}{s}

\int \frac{g}{\frac{1}{p} - \frac{g z}{k}} d z

\int_{0}^{2} 0.2 e^{- 0.2 x} d x

y^{^{'}} - 5 y = t e^{(- 4 t)}

f (x) = \frac{1}{x ^{2}}, at x = 2

x y^{^{'}} = y + x^{2} sin (x), y (\frac{π}{3}) = 0

What is laplacetransform x-5 ?
The answer to laplacetransform x-5 is 1/(s^2)-5/s