What is laplacetransform t+3 ?

The answer to laplacetransform t+3 is 1/(s^2)+3/s

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laplacetransform t+3

laplace transform

t + 3

\frac{1}{s ^{2}} + \frac{3}{s}

Solution steps

L {t + 3}

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 {t} + L {3}

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

L {3} : \frac{3}{s}

= \frac{1}{s ^{2}} + \frac{3}{s}

\int 10 x - 3 d x

y = \frac{1}{x}, y = x, y = \frac{x}{4}

\frac{d y}{d x} = 1 - cos (2 x - y + 3)

f (x) = \frac{8}{x ^{3}}

\frac{5}{s ^{2} ( s + 2 )}

What is laplacetransform t+3 ?
The answer to laplacetransform t+3 is 1/(s^2)+3/s