What is laplacetransform 7(t-7) ?

The answer to laplacetransform 7(t-7) is 7/(s^2)-(49)/s

Popular >

laplacetransform 7(t-7)

laplace transform

7 (t - 7)

\frac{7}{s ^{2}} - \frac{49}{s}

Solution steps

L {7 (t - 7)}

Expand

7 (t - 7) : 7 t - 49

= L {7 t - 49}

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)}

= 7 L {t} - L {49}

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

L {49} : \frac{49}{s}

= 7 \cdot \frac{1}{s ^{2}} - \frac{49}{s}

Refine

7 \frac{1}{s ^{2}} - \frac{49}{s} : \frac{7}{s ^{2}} - \frac{49}{s}

= \frac{7}{s ^{2}} - \frac{49}{s}

\int (x^{4} + x + 1 + x^{- 1} + x^{- 2}) d x

\int_{9}^{16} \frac{x}{x - 4} d x

f (x) = ∣ 4 + 7 x ∣

\frac{2 x - 1}{2 x + 1}

What is laplacetransform 7(t-7) ?
The answer to laplacetransform 7(t-7) is 7/(s^2)-(49)/s