What is laplacetransform-5t^2 ?

The answer to laplacetransform-5t^2 is -(10)/(s^3)

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laplacetransform-5t^2

laplace transform

- 5 t^{2}

- \frac{10}{s ^{3}}

Solution steps

L {- 5 t^{2}}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= - 5 L {t^{2}}

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

= - 5 \cdot \frac{2}{s ^{3}}

Refine

- 5 \frac{2}{s ^{3}} : - \frac{10}{s ^{3}}

= - \frac{10}{s ^{3}}

f (x) = \frac{( x ^{2} + 1 )}{x - 1}

\int (7^{x}) d x

\int x^{3} e^{\frac{x ^{2}}{2}} d x

\int \frac{4}{x ^{2} + 5 x - 4} d x

n = 1 \sum \infty \frac{9}{n ( n + 3 )}

What is laplacetransform-5t^2 ?
The answer to laplacetransform-5t^2 is -(10)/(s^3)