What is laplacetransform e^t-pi ?

The answer to laplacetransform e^t-pi is 1/(s-1)-pi/s

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laplacetransform e^t-pi

laplace transform

e^{t} - π

\frac{1}{s - 1} - \frac{π}{s}

Solution steps

L {e^{t} - π}

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 {e^{t}} - L {π}

L {e^{t}} : \frac{1}{s - 1}

L {π} : \frac{π}{s}

= \frac{1}{s - 1} - \frac{π}{s}

x \to 3 lim (4 x - 5)

\frac{d}{d x} (tan^{2} (n x))

- \frac{4}{5} sin (x)

h \to 0 lim ((x + h)^{2} - x^{2})

x \to - 6 lim (\frac{6 - ∣ x ∣}{6 + x})

What is laplacetransform e^t-pi ?
The answer to laplacetransform e^t-pi is 1/(s-1)-pi/s