What is laplacetransform 6t-3 ?

The answer to laplacetransform 6t-3 is 6/(s^2)-3/s

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laplacetransform 6t-3

laplace transform

6 t - 3

\frac{6}{s ^{2}} - \frac{3}{s}

Solution steps

L {6 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)}

= 6 L {t} - L {3}

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

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

= 6 \cdot \frac{1}{s ^{2}} - \frac{3}{s}

Refine

6 \frac{1}{s ^{2}} - \frac{3}{s} : \frac{6}{s ^{2}} - \frac{3}{s}

= \frac{6}{s ^{2}} - \frac{3}{s}

\int_{1}^{1000} \frac{9}{x ^{3}} d x

t^{2} + e^{- 2 t} sin (3 t)

x \to - 1 lim (3 x^{3} + 2 x^{2} + 3)

x \to 0 + lim (e^{(\frac{1}{x})})

\frac{y ^{2} - 2}{2 y ^{2}}

What is laplacetransform 6t-3 ?
The answer to laplacetransform 6t-3 is 6/(s^2)-3/s