What is laplacetransform 4t-10 ?

The answer to laplacetransform 4t-10 is 4/(s^2)-(10)/s

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laplacetransform 4t-10

laplace transform

4 t - 10

\frac{4}{s ^{2}} - \frac{10}{s}

Solution steps

L {4 t - 10}

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)}

= 4 L {t} - L {10}

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

L {10} : \frac{10}{s}

= 4 \cdot \frac{1}{s ^{2}} - \frac{10}{s}

Refine

4 \frac{1}{s ^{2}} - \frac{10}{s} : \frac{4}{s ^{2}} - \frac{10}{s}

= \frac{4}{s ^{2}} - \frac{10}{s}

\int \frac{1}{x x ^{2} - 4} d x

ln (\frac{7 x ^{2} + 8 x + 5}{8 x ^{3} - 1})

f (x) = x e^{x} at x

What is laplacetransform 4t-10 ?
The answer to laplacetransform 4t-10 is 4/(s^2)-(10)/s