What is laplacetransform t^2+4 ?

The answer to laplacetransform t^2+4 is 2/(s^3)+4/s

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laplacetransform t^2+4

laplace transform

t^{2} + 4

\frac{2}{s ^{3}} + \frac{4}{s}

Solution steps

L {t^{2} + 4}

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^{2}} + L {4}

L {t^{2}} : \frac{2}{s ^{3}}

L {4} : \frac{4}{s}

= \frac{2}{s ^{3}} + \frac{4}{s}

\int x^{\frac{4}{7}} d x

\int (sin (4 x)) d x

x \to 4 lim (\frac{1}{4 - x})

\frac{d}{d x} (- sin (x^{2}) \cdot 2 x)

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

What is laplacetransform t^2+4 ?
The answer to laplacetransform t^2+4 is 2/(s^3)+4/s